I Marine Biological Laboratory Library Woods Hole, Mass. Presented by Dr. Wm. Amber son I I I I I tr m O; j m CD HUMAN PHYSIOLOGY BY PROF. LUIGI LUCIANI TRANSLATED BY FRANCES A. WELBY WITH A PREFACE BY PROF. J. X. LANGLEY, F.R.S. In 5 vols. Illustrated. 8vo. Vol. I. Circulation and Respiration. 18s. net. Vol. II. Internal Secretion Digestion Excretion The Skin. 18s. net. Vol. III. Muscnlar and Nervous Systems. Vols. IV. and V. [In the Press. LONDON : MACMILLAN AND CO., LTD. HUMAN PHYSIOLOGY MACMILLAN AND CO., LIMITED LONDON BOMBAY CALCUTTA MELBOURNE THE MACMILLAN COMPANY NEW YORK BOSTON CHICAGO DALLAS SAN FRANCISCO THE MACMILLAN CO. OF CANADA, LTD. TORONTO HUMAN PHYSIOLOGY BY PROFESSOR LUIGI LUCIANI DIRECTOR OF THE PHYSIOLOGICAL INSTITUTE OF THE ROYAL UNIVERSITY OF ROMK TRANSLATED BY FEANCES A. WELBY WITH A PREFACE BY J. K LANGLEY, F.E.S. PROFESSOR OF PHYSIOLOGY IN THE UNIVERSITY OP CAMBRIDGE IN FIVE VOLUMES VOL. Ill EDITED BY GORDON M. HOLMES, M.D. MUSCULAR AND NERVOUS SYSTEMS MACMILLAN AND CO., LIMITED ST. MARTIN'S STREET, LONDON" 1915 COPYRIGHT NOTE THE third volume of Professor Luciani's Human Physiology, which deals with the muscular and nervous systems, has been translated from the fourth Italian edition, which has appeared since the publication of the English translation of Vols. I. and II. This edition, in which the third and fourth volumes have been enlarged and corrected in places by Professor Luciaui, w r as brought out in 1913 on which occasion a commemorative medal and an album containing the autographs of almost all the world's most eminent physiologists were presented to the Author. The English translation of the preceding volumes was edited by Dr. M. Camis, but as he was unable to act again in this capacity the Editorship of the present volume has been under- taken by Dr. Gordon Holmes. LONDON, 1914. CONTENTS CHAPTER I PAGE GENERAL PHYSIOLOGY OF MUSCLE . . . . .1 1. Skeletal muscles ; excitability and the conditions which regulate it. 2. Curves of muscular contraction. 3. Theory of contraction in tetanus ; the muscle sound. 4. Propagation of excitatory wave along the muscle on exciting with induced or constant currents. 5. Minute structure of striated muscle fibres : changes during contraction. 6. Muscular tone,contracture, and capacity of muscle for active elongation. 7. Chemical composition of muscle in rest and activity. 8. Metabolism in muscle and sources of the energy developed. 9. Muscular work and muscular energy. 10. Heat production in muscle. 11. Electrical changes during rest and activity. 12. Origin of muscular activity. Bibliography. CHAPTER II MECHANICS OF LOCOMOTOR APPARATUS . . . .96 1. General remarks on the structure of the bones and their articula- tions. 2. Form, attachments, and mechanics of muscles in relation to bones. 3. Line and centre of gravity of the body in different postures. 4. Mechanics of equilibration in different postures. 5. Movements of the body in walking. 6. Movements of the body in running. 7. Move- ments of the body in swimming. Bibliography. CHAPTER III PHONATION AND ARTICULATION . . . . .129 1. General observations on the fundamental characters of sounds, and their formation by different musical instruments. 2. Structure of larynx as a musical instrument ; functions of laryngeal muscles. vii viii PHYSIOLOGY PAGE 3. Nerves and centres of phonation. 4. Mechanical conditions for the production of laryngeal sounds ; function of different parts of the phonatory system. 5. Principal characteristics of the singing voice. 6. Difficulties and natural imperfections of singing. 7. The vowel system in phonetic language. 8. Theory of physical nature of vowel tones. 9. System of semivowels or sounding consonants, middle conso- nants, and mute consonants. 10. Composition of syllables and words. 11. Writing, or graphic language. Bibliography. CHAPTER IV GENERAL PHYSIOLOGY OF THE NERVOUS SYSTEM . .175 1. Structural elements of the nervous system. Theory of inde- pendent neurones, or continuity of neuro-fibrils. 2. Conditions, laws, and phenomena of conduction in nerve. 3. Rate of conductivity : diphasic character of the impulse arousing it. 4. Metabolism of nerve : electromotive phenomena during rest and excitation ; demarcation current, action current. 5. Excitation of nerve. Natural stimuli and artificial (chemical, mechanical, electrical) stimuli. 6. Factors in life and death of nerve : conditions of excitability. 7. Polar effects of constant current (electrotonus) : correlative changes in excitability and conductivity. 8. Excitatory action of electrical currents. Laws of excitation. 9. Theories as to origin of neural activity. 10. General functions of nerve-centres. Ganglion cells and central fibrillary net- work. Bibliography. CHAPTER V SPINAL CORD AND NERVES. . . .278 1. Grey and white matter of the spinal cord. 2. Extra- and intra- spinal nerve-cells ; their connections with the root-fibres and tracts which make up the spinal columns. 3. Spinal roots. Bell-Magendie law of localisation of sensory and motor tracts. Waller's law of degeneration after section. 4. Functional relations between afferent and efferent roots. 5. Segmental arrangement of spinal roots. 6. Reflex activity of segments of cord ; shock after section of cord. 7. Short and long spinal reflexes ; laws of reflex spread. 8. Genesis of spinal reflexes ; central factors that inhibit or promote them. 9. Tonic and automatic functions of spinal cord ; " knee-jerk " or patellar reflex. 10. Trophic functions of spinal cord. 11. Sensory functions and Pfliiger's " spinal soul." 12. Spinal cord an instrument of the brain ; spino-cerebral and cerebro-spinal paths of conduction. 13. Localisation of principal spinal centres ; phenomena of spinal deficiency (dogs with amputated cord, Goltz). Bibliography. CONTENTS ix CHAPTER VI PAGE SYMPATHETIC SYSTEM ...... 359 1. Anatomy and histology of fibres and ganglia of sympathetic system. 2. Peripheral distribution of sympathetic system to the organs which it innervates. 3. Physiological arrangement of con- stituent parts of sympathetic system ; origin and course of efferent iibres. 4. Origin and course of afferent fibres, o. Function of peripheral ganglia. Bibliography. CHAPTER VII THE MEDULLA OBLONGATA AND CEREBRAL NERVES . . 380 1. General anatomy of the brain : the medulla oblongata. 2. Motor functions of hypoglossus nerve. 3. Vago- accessory group ; motor functions of eleventh nerve. 4. Different functions of vagus nerve. 5. The glosso-pharyngeal exclusively a nerve of taste. 6. Functions of the facial and acoustic nerves. 7. Functions of the oculomotor and trigeminal nerves. 8. The medulla oblongata as a motor centre. 9. The medulla oblongata as the central organ of locomotion and posture. 10. The medulla oblongata as a sensory centre. Bibliography. CHAPTER VIII THE HIND-BRAIN . . . . ... .419 1. Anatomy of hind-brain : ati'erent and efferent tracts of the three cerebellar peduncles. 2. Preliminary observations on cerebellar functions. 3. Dynamic phenomena immediately incident on removal of cerebellum. 4. Cerebellar ataxy in dogs and monkeys after removal of half the cerebellum. 5. Cerebellar ataxy after total removal of cerebellum. 6. Cerebellar ataxy. 7. The cerebellum as the centre of equilibrium ; 8. And the co-ordinating organ of voluntary movements-; 9. And the organ of subconscious sensations, exercising constant reinforcing action upon the other nerve-centres. 10. Localisation of cerebellar 'functions. Bibliography. CHAPTER IX MID-BRAIN AND THALAMENCEPHALON . . . .486 1. General structure of the mesencephalon. 2. The thalamen- cephalon. 3. Effects of total extirpation of fore-, inter-, and mid- brain in fishes ; 4. In amphibia ; 5. In birds ; 6. In mammals. 7. Effects of stimulating the mesencephalon. 8. Effects of extirpating the corpora quadrigemina alone. 9. Effects of dividing the whole or half the brain stem at level of the mid-brain. 10. Effects of incom- plete or total removal of optic thalami. Bibliography. x PHYSIOLOGY CHAPTER X PAGE THE FORE-BRAIN . . . . .526 1. General anatomy of telencephalon. 2. Structure of the cerebral cortex or pallium. 3. History of cerebral localisation. 4. Excitable zone of the cerebral cortex ; localisation in dog, monkey, man. 5. Physiological analysis of motor reactions of cerebral cortex. 6. Inhibi- tory reactions. 7. Organic reactions of cortical origin. 8. Epilepsy from cortical excitation. 9. The sensory-motor area, deduced from effects of partial or total destruction of excitable cortex. 10. Functions of basal ganglia or corpora striata (caudate and lenticular nuclei). 11. Visual area. 12. Auditory area. 13. Olfactory and gustatory areas. 14. Association areas ; division of cortex into thirty-six areas, according to Flechsig's embryological method. 15. Physiological analysis of speech disorders of cerebral origin. 16. General theory of the psycho- physical functions of the brain. Bibliography. INDEX OF SUBJECTS . . . . . .637 INDEX OF AUTHORS 651 EEEATA Page 24, par. 4, line 5, for " idea- muscular" read " idio-muscular." ,, 38, ,, 3, ,, 6, for " zanthine, hypozanthine " read " xanthine, hypo- xanthine." ,, 102, ,, 3, ,, 5, for " hypoglossus " read " hyoglossus. " ,, 130, ,, 4, ,, 6, for "phonation (speech) " read "phonation (voice)." ,, 144, ,, 2, ,, 14, for "pitch " read "timbre." ,, 345, Fig. 192, for "dorsal" read "thoracic vertebra." ,, 349, ,, 5, ,, 2, for "controlateral" read "contralateral." ,, 510, ,, 3, ,, 3, for " Macacus rheus" read " Macacus rhesus. " ,, 514, ,, 5, ,, 1, for " opistothonus " read " opisthotonus." CHAPTEE I GENERAL PHYSIOLOGY OF MUSCLE CONTENTS. 1. Skeletal muscles; excitability and the conditions which regulate it. 2. Curves of muscular contraction. 3. Theory of contraction in tetanus ; the muscle sound. 4. Propagation of excitatory wave along the muscle on exciting witli induced or constant currents. 5. Minute structure of striated muscle fibres ; changes during contraction. 6. Muscular tone, contracture, and capacity of muscle for active elongation. 7. Chemical composition of muscle in rest and activity. 8. Metabolism in muscle and sources of the energy developed. 9. Muscular work and muscular energy. 10. Heat production in muscle. 11. Electrical changes during rest and activity. 12. Origin of muscular activity. Bibliography. FROM the physiological standpoint the higher animal organism may be treated as a system of blood-forming organs, at the service of a sensory-motor system. The first of these the vegetative or involuntary system subserves the internal life of the body, and its function is to prepare and keep approximately constant the mass and constituents of the blood and lymph which provide the common nutriment : the second the organic or voluntary system- subserves the phenomena of external life, and maintains and regu- lates the relations between the organism and its environment. But this distinction, proposed by Xavier Bichat, has little intrinsic value, however useful it may be in the classification of functions. The two systems do not constitute two separate organisms, like the two primitive layers of the blastoderm, but form a single complex indivisible organism, in which the specific functions of both systems are sharply differentiated and localised. Bones, tendons, and other forms of connective tissue participate in the structure of the organs and mechanisms of animal life, and although they remain passive during the activity of the muscles and nervous system they make the functions of the latter possible, and are thus important constituents of the sensory-motor system. On the other hand motor and sensory elements contribute to the structure of the organs and systems of vegetative life ; among the former are amoeboid cells, ciliated epithelia and muscle fibres, among the latter not only the nerve plexuses of the VOL. in 1 B 2 PHYSIOLOGY CHAP. sympathetic, but also the nerve-paths and centres of the cerebro- spinal system. Nevertheless the muscular and nervous elements which play a direct part in the functions of vegetative life have usually certain morphological and functional characters which distinguish them from those which make up the organs of animal life, and regulate the relations of the organism with the external world : (a) Voluntary or skeletal muscles are almost always striated ; involuntary muscles, i.e. those of vegetative life, are almost always non-striated. (&) The former are controlled by the will, and only come into play in response to nervous impulses ; the latter are nearly always independent of the will, and may even function independently of the central and peripheral nervous systems. (c) The voluntary muscles consist of long fibres, grouped into large masses, each of which is an anatomical unit ; the involuntary fibres, which are not grouped into separate muscles, almost always form smooth layers that line vessels or tubes, or constitute sheaths that surround certain special cavities. (f/) Finally (and this appears the most important), the first are almost always skeletal muscles, attached by tendons to bony levers, by which they can lift weights and overcome resistance, i.e. perform actual mechanical work ; the second, on the con- trary, are nearly all visceral muscles, and perform work that is entirely confined to the interior of the body. The nerves that control the involuntary system, again, present certain characters which distinguish them from those that innervate the voluntary muscles. The latter consist of medullated fibres which come directly from the spinal roots ; the former are exclusively non-medullated, and come principally from the sym- pathetic system, and make at the periphery an exceedingly fine fibrillary network which surrounds the separate muscle cells. I. The skeletal muscles constitute the principal mass of the body. Each muscle is an anatomical unit, a separate organ, which can assume the most various shapes and sizes, but usually consists of an elongated mass provided with tendons by which it is attached to the skeleton. Each muscle consists of fibres which are generally arranged parallel to its long axis, and converge more or less towards the tendinous attachments. The muscle fibres are united into bundles of varying size by connective tissue, which is connected with the sheath or perimysium that surrounds the whole muscle ; the blood and lymph vessels and the nerves run through this connective tissue. The length and the diameter of the muscle fibres vary con- siderably. On an average, the length does not exceed 30-40 mm., but according to some authors it may reach 30 cm. The diameter varies considerably even in the same muscle, and still more in i GENERAL PHYSIOLOGY OF MUSCLE 3 different muscles, as it ranges from O'l to O'Ol mm. The fibres are cylindrical or prismatic in form, with rounded angles and conical ends. They consist of a striated substance of soft consistency (the structure of which we shall presently examine) enclosed in a tubular, apparently homogeneous elastic sheath, called the sarcolemma; this is continued at both ends of the fibre into connective tissue fibrils, which join the tendon or the septa of the perirnysium. The muscle fibres alone become active when the muscle contracts ; the sarcolemma, the connective tissue of the perimysium and its intermuscular septa, and the tendons remain passive. During contraction each fibre pulls upon the tendon, either directly or by means of the interfascicular connective tissue which is continued into the tendon. Each muscle has rnedullated and non-medullated nerve fibres ; the former innervate its fibres, the latter the walls of the blood- vessels : every muscle fibre is provided with at least one nerve fibre, which usually forms an end-plate near its middle. Under normal conditions the skeletal muscles are thrown into activity by their nerves, and after section of these all move- ment of the muscle is arrested ; this indicates that neither the muscles nor the nerves by which they are innervated are capable of automatic activity. But after dividing the nerve and exposing the muscle an effective mechanical, thermal, chemical or electrical stimulus, applied either to the nerve or directly to the muscle, evokes a contraction of the latter in response ; so that both nerves, when severed from their centre, and voluntary muscles manifest irritability or excitability, i.e. a power of reacting by an explosion of energy to external impulses (Vol. I. p. 44). The active reaction, or contraction, of the muscle is expressed in its rapid change of form and displacement ; excitation of the nerve, on the contrary, is not accompanied by any direct visible change, and consists solely, as we shall see, in a molecular vibration, by which the excitatory impulse is transmitted to the muscle. Since the natural excitation of a muscle is always the effect of an excitation through its nerve, it is legitimate to assume that the reaction produced artificially by its direct stimulation is also due to stimulation of the nerve fibres that run between the muscle bundles. Many authors, from Borelli and Willis onwards, have regarded the muscles as the passive instruments of the nerves, though A. Haller maintained the opposite view in his famous theory of muscular irritability, which was based on fallacious arguments (Vol. I. p. 299). Although Haller's view has now only an historical interest, it is instructive to sum up briefly the most striking arguments that were, and still might be, adduced in support of the theory of direct or autonomous excita- bility of the voluntary muscles. 4 PHYSIOLOGY CHAP. In 1841, Longet resorted to a very simple method of deciding the question, by cutting the nerves to a limb of a mammal, and testing the direct and indirect excitability of its muscles, at various intervals after the operation. He found that the nerves lost their excitability to all stimuli (mechanical, chemical, electrical) after the fourth day ; while the muscles to which these nerves were distributed reacted to direct stimulation as long as twelve weeks after the operation. To this argument in favour of autonomous muscular excitability it was objected that the degeneration and loss of excitability in the nerve is propagated in a centrifugal direction, i.e. from the point of section towards the nerve-endings, and that the end-plates might consequently retain their excitability after total degeneration of the corresponding fibres. Microscopical investigation, however, shows that the small muscular nerves are already altered eight to ten days after the section, and it would therefore be illogical to suppose that the end-plates can remain intact several months longer. Clinical ob- servations confirm this fact ; the muscles of the face, for instance, preserve their direct excitability several years after the facial nerve has been paralysed (C. Richet). Another more effective method of showing that muscular excitability is independent of the corresponding nerves was dis- covered in 1850 by Cl. Bernard, and almost simultaneously by Ko'lliker. The strongest stimuli applied to the nerves of animals paralysed by curare are unable to excite any contraction of the skeletal muscles ; but the muscles preserve their direct excitability. Curare neither paralyses the sensory nerves nor the nerve-centres, its paralysing action being limited (except with excessive doses) to the motor nerve -endings. In fact, if the sciatic nerve of a frog is exposed on the right side, and that leg, leaving out the sciatic, is ligatured, and curare is then injected under the skin of the back, the right leg reacts when its sciatic nerve is stimulated ; but when the left sciatic is stimulated no reaction of the muscles on that side is obtained because the poison has been circulating through them, while there are reflex move- ments from the right leg. The section of a motor nerve abolishes excitability from the point of section to the periphery, but the toxic action of curare begins by paralysing the motor end-plates, and then extends centripetally along the nerve. Curare does not therefore alter the excitability of the muscle perceptibly (at any rate in small doses and in the early stages of its action), but it paralyses motor nerves, by abolishing the conductivity of the motor end-plates, and thus interrupts the normal link between the nerve and its muscle. A simpler and no less conclusive argument was brought forward by Kiihne (1859). He observed that the sartorius muscle of the frog has no nerve fibres near its end, for about ^ of its i GENERAL PHYSIOLOGY OF MUSCLE 5 total length. Yet the muscle reacts by a twitch if it is stimulated by pinching it with forceps at a point at which there are no nerve fibres. Another sound argument for the autonomous excitability of muscle is the so-called idio- muscular contraction observed by Schiff. This is seen in fatigued or degenerating muscle, in which conductivity is lowered. On stroking the exposed muscle obliquely to the direction of its fibres with a blunt object, or tapping it with a scalpel, a ridge of contraction appears at the point of contact. This is obviously a local muscular reaction, independent of the nerve. These direct arguments for the independent excitability of voluntary muscles are confirmed by observations which demonstrate the automatic and reflex excitability of involuntary muscle fibres. (See Vol. I. pp. 305-12.) Muscular excitability, independent of the nerves, is controlled by the circulation which supplies the muscle with the nutrient material and oxygen indispensable to its metabolism, and removes the waste products as fast as these accumulate. Nicolas Stensen (1687) first observed that after tying the abdominal aorta in mammals paralysis of the posterior limbs rapidly set in, and dis- appeared again if the artery were reopened after a short period. In this experiment, however, the paralysis depends not only on the fall of muscular excitability, but also on the anaemia of the lumbar cord which is supplied by the aorta (Schiffer). If instead of the aorta the iliac and crural arteries of one limb are tied, the ex- citability of the muscles cut off from the .circulation survives for many hours (Brown -Sequard) ; as the vitality of the muscle diminishes it shortens, and finally becomes rigid (rigor mortis). If the circulation is re-established before the onset of complete rigor, the excitability of the muscles may be recovered. Brown-Sequard demonstrated by a long series of experiments that, after death, excitability persists for a longer or shorter time in different muscles of the same animal ; that, generally speaking, it survives longer if the external temperature is low, although the contrary has been affirmed ; and that the longer the muscles pre- serve their excitability after death, the longer are they capable of recovering it on the artificial circulation of arterial blood. Claude Bernard stated that during muscular contraction in the living animal the blood flowing away from the muscles is highly venous. Ludwig further observed that during tetanisation of the muscles of any limb, by stimulation of its nerves, the flow of blood from the muscle was accelerated, owing to the active dilatation of the vessels. Chauveau noted an acceleration of the circulation in the masticator muscles of calves during mastication, which was due not only to nervous influence but also to the active dilatation of the muscular vessels, and to the impetus given to the 6 PHYSIOLOGY CHAR venous stream by each contraction of the muscles. But in curar- ised animals also direct excitation of the muscles dilates the vessels and may produce minute capillary extravasations owing to excess of tension. The nutrition of the muscles, and indirectly their excitability, also depend on the trophic influence continually exercised upon them by the nervous system. After cutting the motor nerves the muscles degenerate as well as the peripheral end of the nerves severed from their centre. Their excitability falls in the first three or four days, but then rises to mechanical and galvanic excitation (Erb's reaction of degeneration^), while it decreases still further to faradic stimulation; after seven weeks muscular excitability is much reduced, and within six to seven mouths it has disappeared. During the first week after section fibrillary contractions are observed in the degenerating muscle, which are due to the excitation of the contractile elements by intrinsic chemical changes (Schiff). Use and disuse again have great influence upon the nutrition, and thus upon the excitability and work-capacity, of muscle. It is a common observation that exercise develops and strengthens the muscles, while disuse and a sedentary life render them weak and flabby. Absolute enforced rest causes the muscles in time to degenerate and atrophy. II. The physiology of muscle was not really known till after the ingenious researches of E. Weber (1846) on the relations between contractility and elasticity ; and till Helinholtz (1850-52) applied the graphic method to its study by means of his myograpli, which traces the entire curve of a muscular contraction (myogram) and indicates the exact moment of the application of the stimulus to the nerve or to the muscle. A Myograpli is an apparatus designed to show by a tracing on a smoked plate or revolving cylinder the changes in length (or thickness) which a muscle undergoes during excitation, i.e. the active state into which it is thrown as the effect of .stimulation. There are a great variety of these instruments, invented by the different authors who have occupied themselves with the mechanical functions of the muscles. One of the oldest is that of Pfliiger, which again is only a simpli- fication of the original rnyograph devised by Helmholtz. Pfliiger's apparatus (Fig. 1) consists of an arm LL which moves round a horizontal axis, and can be brought into equilibrium by the counterpoise C. The other end of the arm is fitted witli a lever, which also rotates round an axis and ends in a metal point P, which writes on a moving smoked plate or drum that can be rotated at varying speeds. The writing-point is kept in contact with the recording surface by a small weight or spring, but can be drawn back by a thread fastened to the wheel c. A freshly excised muscle is clamped at the top, and attached below by a thread and hook to the middle of the lever. Below the point at which the muscle is attached is a small scale-pin />, on which different weights can be placed to examine the influence of different loading on the contractility of the muscle. The latter is kept moist in a glass chamber con- taining a little wet filter paper. Instruments of this class give an imperfect record because the myograms GENEEAL PHYSIOLOGY OF MUSCLE do not correspond with the true movements of the excited muscle. Owing, to the weight of the lever and the distance from the axis of the load appliec to the muscle, tin- entire mass is accelerated on the rapid con- traction of the muscle, and the curve altered, because the ten- sion in the muscle due to the load is greater at first, and then gradually diminishes instead of being constant. To avoid this the mass raised by the muscle and the height to which it is lifted must be lessened, so as to obviate changes of tension during the contraction. This is done by using a very light- lever, and making the height to which the weight is raised as small as possible by attach- ing it, close to the fulcrum, to a thread which passes over a wheel fixed at the axis of the lever. By this arrangement the acceleration imparted to the weight becomes negligible, no matter how rapid and ample the movement of the lever, and the passive tension of the muscle remains constant throughout the experiment. Fig. 2 (which is only a modi- FIG. 1. Pfliiger's myograph. Explanation in text. fication of Waller's myograph) gives one of many that have been constructed on this principle. It is adapted to show on the same muscle the effects FIG. 2. Myograph for comparing direct and indirect excitation on the same muscle loaded or unloaded. (Luciani.) The frog's gastrocnemius muscle is fixed horizontally over the surface nf the mercury contained in a hollow of the cork plate. It is connected by a thread with a jointed lever II, the axis of which carries a small wheel ; a thread passes round this to hold the scale-pan for the weight ji, which is to load the muscle. The vertical arm of the aluminium lever, cm which the muscle pulls directly, works the movements of the much longer horizontal arm, which consists of a straw ending in a writing-point, by which the movement is traced on a revolving cylinder. The relations between the two arms can be easily adjusted. The electrodes from the secondary coil of an induction apparatus can be applied by a Pohl's commutator without cross-wires to the muscle or the nerve, according as the bridge is thrown over to the left M, or right N. not only of direct and indirect excitation, but also of different weights applied to the muscle, from the minimal load of a fine straw employed as 8 PHYSIOLOGY CHAP. the lever to progressively increasing weights suspended from the thread and wheel at the axis. The errors inseparable from the use of a lever (inertia, etc.) have more recently been eliminated by employing the photographic method (Blix, 1895 ; Brodie and Richardson, 1897 ; Lucas, 1903, etc.) The principle is that the contracting muscle deflects a small I Te^V IL ^"X. mirror, from which a beam of light is reflected on to a travelling sensitive surface so that the movement of con- traction is photographed. The myograms best suited for analysis and study are those ob- tained from " nerve -muscle pre- parations " of the frog or other Fio. 3. Frog's nerve -muscle preparation. Cold-blooded animal, ill which the muscle; n, sciatic exc it a bility of the nerves and t.a. nerve, with all the branches cut except that to the muscle ; /, femur ; p, clamp to fix upper end of muscle with femur ; (.a., tenclo Achillis with hook to attach lower end of muscle to myograph ; c.s/i., extreme end of spinal cord. muscles lasts much longer than in warm-blooded animals (Fig. 3). Whatever the nature of the stimulus applied to the muscle or its nerve, the contraction which is recorded by the myograph may assume the form of a twitch or of tetanus. The twitch is the simplest and most rapid form of muscular contraction ; tetanus is a more complex and persistent contraction which results from the fusion of a greater or less number of twitches in rapid succession. Fig. 4 gives the myogram of a simple twitch, obtained on the momentary stimulation of the frog's gastrocneinius by a break shock from the secondary coil of an induction apparatus. In order to determine the exact moment at which the shock is thrown into the muscle the recording cylinder itself, at a certain point of its revolution, is arranged to open a contact (Helmholtz), or else an electric signal which is interposed in the circuit marks the exact moment of stimulation upon the recording surface (Marey and others). In Fig. 4 three different periods can be distinguished: (a) The interval a b, in which no visible change takes place in the muscle ; this is the time lost between the application of the stimulus and the com- mencement of the contraction, which Helmholtz termed the period of latent excitation or latent period. (b) The interval b c, during which the muscle shortens, at first PIG. 4. Myogram of contraction of frog's gastm- cnemius. Time tracing from tuning-fork, giving 10U vibrations per second, n, li, latent period ; li, <, phase of contract-ion ; <, d, phase of re- laxation. GENERAL PHYSIOLOGY OF MUSCLE 9 slowly, then more rapidly, then more slowly again, which repre- sents the contraction period. (c) The interval c d, during which the muscle relaxes and lengthens, slowly at first, then more rapidly, then again slowly, which is the expansion or elongation period. According to Helmholtz' first results the latent period in the voluntary muscles of the frog is about O'Ol sec., but later work has shown it to be much shorter. According to Yeo it is 0'005 sec. ; according to Burdou-Sanderson 0'0025 sec. ; lastly, according to Tigerstedt (who made many comparative experiments on the frog's gastrocnemius under a variety of conditions) it varies between 0-004 to 0-006 sec,, but is generally (41 per cent) 0'005 sec. From the theoretical standpoint it is more than probable that there is really no appreciable interval between the direct stimula- tion of a muscle and the commencement of contraction, and that the apparent latency of excitation depends on the fact that the contraction does not begin simultaneously throughout the mass of the muscle, but advances gradually like a wave, so that the fibres which first contract pull upon, and passively extend, the fibres that have not yet contracted, and thus nullify the mechanical effect. It is only when, with the advance of the contraction wave, the active shortening of the mass of muscle exceeds its passive elongation that the lever attached to the muscle begins to rise from the abscissa (Gad). Apart from the latent period, the active reaction or excitation of the muscle consists in a diphasic process, with distinct phases of contraction and of expansion, which may vary considerably under different circumstances. For instance : (it) Tracings of a muscle twitch vary considerably in the duration or velocity of the total movement and that of the two separate phases, according to the character of the muscles which are under observation. As regards speed of reaction, there is an enormous difference between the plain muscles, which react so slowly that both phases are visible to the eye, and the striated muscles, which react so quickly that the graphic method is indis- pensable for their demonstration. The cardiac muscle cells come midway as regards rate of response between the unstriated visceral and the striated skeletal muscles. The duration of the contraction of skeletal muscles is variable, not only in the muscles of different animals, but even in the different muscles of the same animal. Contraction is most rapid in insects, less rapid in birds, slower still in mammals (about O'l sec. on an average), slowest of all in the cold-blooded animals, especially in the tortoise. Eauvier (1874) first noted that in certain birds and mammals two kinds of muscles can be distinguished, red and pale, and that the latter contract more rapidly than the former, an important fact subsequently confirmed by other experimenters. 10 PHYSIOLOGY CHAP. According to Griitzner (1883) each muscle contains rapidly contracting and slowly contracting fibres, which cannot always be distinguished by their colour. Speaking generally, he holds that the latter, which are less excitable and less easily fatigued, are richer in sarcoplasm, darker and thinner ; the former, on the contrary, are more excitable and more easily fatigued, less rich in sarcoplasm, lighter and thicker. Easier (1904-5), in Griitzner's laboratory, afterwards confirmed and extended these researches. Paukul (1904), who examined the forms of twitch from almost every muscle of the rabbit, came to the conclusion that the different modes of contraction depend on the arrangement of the muscle fibrils and the intervening sarcoplasm ; those muscles in which fibrils lie uniformly and are surrounded by little sarcoplasm contract rapidly, while those in which the fibrils are arranged in FIG. 5. Influence of temperature on amplitude of muscular contraction. (A. D. Waller.) 1, con- traction of normal gastrocnemius ; 2, of same muscle, slightly cooled ; 3, of same muscle, much cooled. groups and separated by a large amount of sarcoplasm contract more slowly. (6) Temperature, either higher or lower than the normal, has a marked influence upon the course of the muscular contraction. Cooling always lengthens the contraction, and raises its height when the degree of cooling is moderated, but lowers it if more marked (Fig. 5). Warming constantly accelerates contraction and increases its height when moderate in degree, but lowers it when more pronounced. Gad and Heymans found the maximum height of contraction at 30 C. It is diminished as tbe tempera- ture falls to 19 C, and subsequently rises again at C. Patrizi examined muscular contraction in the marmot, both in the hibernating and in the waking state, which are, of course, distinguished by great differences of temperature. He found that contraction is about three times more rapid when the animal is awake than in hibernation ; and determined the latent period and duration of the different phases of the twitch, and the stimulation frequency required to produce tetanus, in both these states, that is, with both the high and the low body-temperature. i GENERAL PHYSIOLOGY OF MUSCLE 11 While cold diminishes muscular excitability and renders the muscle less easily fatigued and more resistent, heat, after a brief rise of excitability, leads to easy exhaustion. When the rise of temperature exceeds 40-50 0. the muscle enters into thermal rigor, in which it gives its maximal contraction, and does not relax again. (c) The duration and form of the muscle twitch also depend on the degree of fatigue. If a series of twitches from a frog's muscle, uniformly loaded and excited at equal intervals (1-2 sees.), with uniform shocks from make or break induction currents are recorded on the drum of the myograph, a fatigue curve will be obtained which shows a gradual retardation and weakening of muscular activity, preceded by a short phase of augmentation. Fig. 6 shows that in a preliminary period, consisting of some ten twitches, the tracings rise in height, and the duration of both contraction and elongation is lengthened. In a second much longer period the height drops, I ;. ti. Curve of fatigue, with direct stimulation of frog's gastrocnemius. (A. D. Waller.) Tracing of 125 maximal contractions at H sees, interval. The experiment was stopped before the muscle became fully exhausted. while the duration of both phases increases, but particularly that of relaxation. Kronecker (1871) showed that when a frog's muscle, excited at regular intervals with maximal induction shocks, is loaded only at the moment at which it commences its contraction (after loading}, the apex of the twitches forms a straight line, which drops more rapidly towards the abscissa in proportion as the interval between the single stimulations diminishes. In repro- ducing Kronecker's experimental conditions it is necessary first to test the excitability of the muscle in order to find the least stimulus that will produce a maximal effect ; next, the single stimuli must succeed each other at long intervals, so that the muscle shall not be excited again before the phase of relaxation is fully completed, which takes longer and longer as the fatigue increases. The apparent rise of activity, often seen at the com- mencement of muscular fatigue, is probably due to the fact that, owing to the lengthening of the phase of relaxation, the muscle receives the next shock before it has completely relaxed. In this case each new excitation summates with the residue of the previous contraction, and the level of the myogram rises in conse- quence (Fr. W. Frohlich, 1905). 12 PHYSIOLOGY CHAP. The study of fatigue phenomena in muscle is simplified and made more complete if, instead of sending in the excitations at regular intervals, the muscle is stimulated by a make induction shock directly it has relaxed. The apparatus can be arranged so that the contraction of the muscle breaks the exciting circuit, and its relaxation closes it again. The muscle thus contracts and relaxes continuously (Wundt, 1858 ; Novi, 1879). Fig. 7 shows the curve of muscular fatigue passing into complete exhaustion. It exhibits the initial phases that are to be seen in Waller's incomplete curve, followed by a much longer Km. 7. Complete tracing of muscular fatigue from frog's gastrocnemins ; series of successive contractions which vary in frequency with the varying duration of the contraction. (I. Novi.) Lines 1, 2, 3, 4 represent successive parts of one tracing, a, b, first, very brief phase con- sisting of extremely rapid contractions of increasing height ; b, <:, second phase, four to five times longer, rapid contractions decreasing in height ; c, d, third phase, less rapid contractions, approximately equal in height ; lAA''/-'////y/'^/yA' l AA/-/Wyv/v/yv.// 1 A/W Fn:. 13. Vibrations of biceps muscle of rabbit's femur on stimulating the spinal cord or sciatic nerve with forty-two induction shocks per second. (Kronecker and Stanley Hall.) The middle line s gives the vibrations of a tuning-fork in T J n sec. ; the upper line n is the tracing of the vibration of the muscle during stimulation of the sciatic ; the lower line in, the vibrations of the muscle during stimulation of the cord. Both tracings were obtained by applying a sensitive lever to the surface of the exposed muscle. The same tone is heard on firmly contracting the eye-muscles or applying the stethoscope to the arm-muscles during voluntary contraction. Helmholtz pointed out that the vibrations which give rise to the sounds did not follow in regular sequence like those of a musical tone. To determine the frequency objectively, he applied watch springs or strips of paper to the muscles which were vibrating in unison, and found the vibrations to be 18-20 per second. He confirmed the fact previously observed by Du Bois- Keymond, that vibrations of the same frequency as those of voluntary contraction are produced when a tetanising current of high frequency is applied not only to the nerve or muscle but also to the spinal cord of an animal. Subsequently, Helmholtz pointed out (1864) that the tone perceived by the ear corresponds not to the effective number of muscular vibrations, but to the resonance tone proper to the ear of the observer, which corresponds with the first over-tone or the octave of the fundamental tone of the muscle, and is difficult to determine, because it lies at the limit of the perceptible tones. He stated in effect that the tone heard on voluntary contraction of the masseter muscles corresponds to i GENERAL PHYSIOLOGY OF MUSCLE 21 36-40 vibrations, while the natural vibration of the human muscles is only 18-20 per second. Similar results were obtained by Kronecker and Stanley Hall (1879), who registered the oscillations in the mass of the exposed femoral biceps of the rabbit by applying the lever of a Marey's tambour to its surface, and tetanising the spinal cord with an induced current of 43 shocks per second (Fig. 13). Later work on this subject, particularly by Loven, von Kries, Schafer, Wedensky, and Stern (1900), however, yielded different and apparently contradictory conclusions in certain particulars, while confirming the fact that all voluntary contractions, and those due to strychnine and to reflex or direct stimulation of the cerebral centres, are discontinuous phenomena, i.e. are due to the summation of a series of impulses emanating from the centres and transmitted to the muscles. It is difficult on the generally accepted theory of Helmholtz, that the sound heard from a muscle either in tetanus or in per- sistent voluntary muscular contraction depends essentially on the displacement of the contractile substance, to explain the fact that simple twitches or contractions, such as the cardiac systole, can give rise to a murmur. Lastly, it should be added that Briinings (1903) made an accurate analysis of the muscle sound produced by direct and indirect stimulation with faradic currents of varying frequency. He found that it always has the character of a simple tone, and that its frequency never differs from that of the stimulus. But if on direct stimulation the frequency of the faradic currents is constantly increased, the intensity of the muscle sound grows proportionately less, until it disappears altogether after reaching a certain limit of frequency, though the tetanus still continues. This maximal limit is higher in proportion to the strength of the stimulus and the freshness and the temperature of the muscle. Its relation to the temperature in particular is surprisingly regular. While, e.g., at Y'5 C. 3 stimuli per second is the maximum at which an isorhythmic murmur can be obtained, no sound being heard at any higher frequency, at 35 C. the highest perceptible tone is observed with 435 vibrations. IV. To complete the analysis of the mechanical effects of excitation we must further consider the variations in thickness of the muscle and the propagation of excitation along its fibres. In excitation the long axis of the muscle shortens, and its transverse axis increases, while the surface of the muscle diminishes during the contraction and increases in relaxation. But the question was long disputed as to whether the volume of the muscle also varied during contraction, and diminished during tetanus. This question was experimentally investigated long since by Borelli, Glisson, Swammerdam, and subsequently with better methods by Barzel- lotti, Erinan, Joh. Mu'ller, E. Weber, and many others. The 22 PHYSIOLOGY CHAP. results were contradictory. Many observers were unable to dis- cover any variation in the volume of the muscle, while others saw a more or less marked diminution in volume during tetanus. Among the former we must mention Barzellotti (1795-96), who invented the method of introducing the muscles of a frog into a closed vessel full of water, which carried a capillary tube: among the latter, Erman (1812), who with the same method observed a marked diminution in volume. An Fin. 14. Myograph suitable for man, to record increased bulk of the muscles. (Marey.) Con- sists of a capsule covered with a rubber mem- brane, pulled out by a spiral spring. A metal rane, pue ou y a spra sprng. mea , . 11 button in the centre of the membrane carries the exhaustive research by exciting current to the skin immediately above /1oq7\ w Vir> riprfppfpH " the muscle to be explored. The compression of V iO ' )> wn the air in the capsule flunns the contraction lis lottl's method with nce a- tiansimtted by a rubber tube to the lever of a . ., recording tambour. JUStUientS, aiSO jailed to Obtain even minimal variations of volume in a muscle during tetanisation. The muscle therefore changes in form and extent of surface, but not in density and volume, during activity. Were they not sanctioned by use it would be better to give up the inappropriate expressions " contraction " and " relaxation," to indicate the two phases of muscular activity. The state of contraction in a muscle can also be studied by tracings of the area of its cross-section. Marey invented special myographs for this purpose which can be applied to man in physiological and clinical research. The simplest of these are shown in Figs. 14 and 15. Curves of simple contraction and of FIG. 15. Exploring tambour that can lie used as a myograph to transmit the phases of increasing thickness of a contracting muscle to a tambour with writing lever. tetanus recorded by this method closely resemble those we have already analysed in the corresponding changes in the length of a muscle. But there is one important difference ; while the former record the algebraic sum of the changes in length in all tbe different parts of the muscle, the latter only trace the changes in i GENEKAL PHYSIOLOGY OF MUSCLE 23 thickness of the particular portion of the muscle to which the myograph is applied. The rate of propagation of the contraction wave can be calcu- lated from the interval between the contraction of two different points of an isolated muscle, traced by two myograph levers placed on the muscle at a known distance from each other, and writing on the same drum. The sartorius muscle of the frog, in which the fibres were parallel to one another, is the most suitable for this purpose. Before dissecting it out, the frog should be curarised to eliminate the action of the stimulus upon the intramuscular nerves. When an induced shock is applied to one end of the muscle, the contraction spreads in wave-form to the other end, at a velocity which can be calculated by means of the two curves. Fig. 16 shows that the second curve rises about - 06 sec. after the commencement of the first curve : in passing over the Fir,. 16. Two myograms of thickening from the same frog's muscle, obtained by applying two /(/'/UTS myographiqves at a distance of 15 mm. to measure the velocity of the excitation wave. (Marey.) Time tracing in T n sec. part of the muscle between the two rnyographs the wave of con- traction therefore occupied 0'06 sec. As the distance between the two levers was 15 mm., the wave travelled at a rate of about 1 m. per second. The length of the wave can also be calculated from the duration of the thickening of the fibres (in Fig. 16 about seven vibrations of the tuning-fork = O07 sec.), and from the rate at which the wave is propagated. Bernstein stated that the duration of the twitch in any segment of the muscle (which must be dis- tinguished from the duration of the twitch of the whole muscle, which usually takes longer) is from 0'05 to 01 sec. Assuming Bernstein's calculations of the rate at which the wave travels 3-4 m. per second, to be correct then the length of the wave, or the part of the muscle over which it passes in O'05-O'l sec., is on an average 200-300 mm. As the length of each muscle fibre rarely exceeds 40 mm. the entire length of each fibre is usually involved in the contraction. It is only at the beginning and towards the end of the contraction that one or other end of the fibre is not active; throughout the 24 PHYSIOLOGY CHAP. greater part of the duration of the wave, each segment of the fibre will be in some phase of activity, which is more advanced in the segments nearer to, less advanced in those more distant from, the points at which the stimulus is applied. The rate of propagation varies considerably in the muscles of the same animal according to the method adopted. According to Aeby (1860), who first applied the graphic method to this research in the gracilis and semi-membranosus muscles of the frog, it is about 1 m. per second (1'2-1'G in.). Yon Bezold's and Marey's results were much the same, while Bernstein, who compared the moments at which successive waves, travelling in the same direction from different points, reached a particular spot at a known distance from each of them, obtained much higher values (3'2-4'4 m. per second). Hermann who excited the two sartorius muscles in a curarised frog at two different points, and simultane- ously, gave the rate as 2 - 7 m. per second. Just as the velocity of the muscle twitch differs considerably in the muscles of different animals (cold-blooded and warm- blooded), and in different muscles (pale or red, quick or torpid), so the velocity at which the wave of excitation or contraction travels also varies. In the retractor collis muscle of the tortoise the rate at which excitation is transmitted varies between 05 and T8 m. (Hermann and Aeby) ; while in the sterno-mastoid muscle of the dog it is equal to 3-6 m. (Bernstein and Steiner). The rate of propagation of the wave may v/iry greatly in the same muscle with the strength of stimulus, still more with the state of its excitability, which varies largely according to fatigue and with the temperature. Schiff (1856-58) first studied the interesting phenomenon known as the ideo-muscular contraction, which directly shows the transmission of a contraction excited by mechanical stimuli along mammalian muscles exposed shortly after death. A ridge or weal forms when the muscle is tapped or stroked with a blunt object, and persists for a certain time ; two contractile waves start from it, and spread towards the two ends of the muscle, where they are reflected back towards the spot stimulated, and collide with secondary waves from the weal. As the excitability of the tissue is exhausted, the velocity of this wave conduction also diminishes. These observations on the propagation of the contraction wave through the muscle refer to artificial direct stimulation at one end. With natural or indirect stimuli, when the excitation reaches the muscle through the end-plates of the motor nerves that lie towards the middle of each fibre, the contraction must invade the total length of the fibres in a much shorter time. In fact we assume that the contraction is propagated from the end-plates in two opposite directions towards the two ends of the fibres, and therefore has only to traverse half its length. GENERAL PHYSIOLOGY OF MUSCLE 25 When, instead of using make and break shocks from an induction coil, a muscle is excited with the constant current, it contracts at each closure or opening of the current, but is relaxed during the passage of the current. This law usually holds good if a current of medium strength is employed, but if the strength of the current exceeds certain limits, the make or break of the current is immediately followed by a tetanus (closure or opening tetanus). This fact, which was first noted by Wundt, can also be observed on man, by sending a strong galvanic current into a muscle, or even a comparatively weak current when the muscle is degenerated. Curarised muscles react more readily to the closure and open- ing of a constant current than to the more transitory make and break shocks of an induced current. Hence in ex- amining the rate of transmission of contraction, the constant current is pre- ferable. The excitation at make of the con- stant current is greater than at break, as can be seen by varying the amount of current passed through the muscle, by means of a rheochord. Von Bezold, Engelmann, and Hering showed that the "law of contraction" which Pfliiger formulated for nerve (see Chap. IV.) holds for muscle also : the closing contraction always starts from the negative pole, while the opening contraction is set up at the positive pole ; in other words the make excita- tion is kathodal, the break excitation is anodal. This law may be demonstrated by placing two myograph levers far apart on a curarised muscle, to the two ends of which the two electrodes are applied. At make and break of the current the two contractions are recorded at brief intervals, but the kathodal always precedes the anodal at the closure, and the anodal the kathodal at the opening, of the current. V. In order to understand the changes in form which the muscle undergoes during activity, it is necessary to examine the structure of the muscle fibre under the microscope, and the changes which it undergoes during contraction. Each muscle fibre consists of soft protoplasm enclosed in an elastic tubular sheath, the sarcolemma. This membrane is so resistant that it is uninjured by a pull strong enough to rupture the muscle substance (Fig. 17). Oval nuclei parallel with the long axis of the fibre generally lie immediately under the sarco- Fi }. 17. Sarcolemma of mammalian muscle. (Schafer.) Highly magni- fied. The sarcolemma is left clear, owing to rupture of the muscular substance. 26 PHYSIOLOGY CHAP. lemma, but they belong to the muscle substance, and not to the sarcolemma. Each muscle fibre may be regarded as a very elongated cell, provided with several nuclei, the sarcolemma representing the cell membrane. The diameter of the fibres usually varies from 30 to 40 /*, but may be greater or less in different classes of animals. The substance proper or protoplasm of the fibre presents a double striation, longitudinal and transverse, owing to the fact that it consists of a bundle of numerous primitive fibrils arranged parallel, each of which has a complex transverse structure. On examining a fibre in cross-section, each primitive fibril appears as a rounded spherical granule, comparatively dark in colour, surrounded by a lighter non-differentiated substance the sarcoplasm. The amount of sarcoplasm may vary considerably in s , Fio. 18. Traiivi'rsi- section of two striated muscle fibres of rabbit. (S/.ymonowk-z.) Magnified 1000 diameters. At A the primitive fibrils (.S) are equally distributed in the sarcoplasm (S^). At B they form polyliedric segments known as Cohnlu-im's areas (Cc). different muscles, just as the mode of division or grouping of the primitive fibrils within the sarcoplasm also differs (Fig. 18). On examination of a fre^h muscle fibre in serum, a longi- tudinal striation is seen owing to the parallel arrangement of the primitive fibrillae. A series of light and dark striae at right angles to the longitudinal axis of the fibre are also visible, which are due to a double series of light and dark parallel bands that alternate regularly through the entire length of the fibre. The dark striae are broader than the light, and show at the boundary of the clear bands a darker layer which seems to consist of a series of dots. On teasing out dead muscle fibres hardened in alcohol, it is possible to separate the primitive fibrils. This is easiest in animals which have the most abundant sarcoplasm (Fig. 20). Under a high power, each fibril is seen to consist of alternating light and dark bands of approximately uniform width. But in the middle of the clear band there is a very fine dark line, GENERAL PHYSIOLOGY OF MUSCLE 27 which was first described by Aniici, but is generally known as Krause's membrane. Krause regarded this as a delicate little membrane, dividing the fibrils into a series of segments which he called sarcomeres. In the muscles of certain insects as well as those of some mammals, a further differentiation is visible with strong magnification in both light and dark bands, for the description of which the reader must refer to text-books of modern histology. From the physiological point of view the different refracting :::::::- . :, !;ij;;;;;;; is iiffjj in I, tmfl &aiwis ii-j 3 !MwFfi ; Dun --/(({"'V't'/ jllHll '."iinimTf/ -, -.'!'!'.' BjrnjHifijf /' ufff unniTinm / FIG. 19. (Left.) Muscular fibre of a mammal examined fresh in .serum. (Schiifer.) Highly magnified. FIG. 20. (Right.) Fragment of frog's muscle fibre in which a few fibres have been isolated. (Szymonowicz.) Magnified about 650 diameters, n, nucleus ; fp, primitive fibril ; is, isotropous layer; an, anisotropous layer; A, Amici's striae or intermediate disc. power of the respective light or dark bands of muscle fibres is more important. Boeck of Christiania was the first who pointed out that certain tissues, among them the muscles, were doubly refracting or anisotropous, but Briicke (1857) showed that the whole fibre is not anisotropous, a portion of its substance being singly refracting or isotropous. When the fibres are viewed by polarised light, the dark striae show up light on the black ground formed by crossed Nicol prisms : the light striae, on the contrary, appear dark. The former are doubly, the latter singly refracting. To obtain a clear idea of the changes which the striatiou of the muscle fibre undergoes during contraction, it is necessary to fix the muscle as the contraction wave crosses it, in order to study PHYSIOLOGY CHAP. all the details of its appearance under the microscope. This is easily accomplished if a fresh muscle from an insect's leg is dropped into absolute alcohol or solution of osmic acid. These reagents excite a series of waves in the muscle fibre, and fix it at the same time, so that on teasing out some bundles of fibres for a few minutes and examining them under the high power, the so- called "fixed wave of contraction " can be seen in the form of nodes or fusiform swellings. In some fibres it is also possible to see the so-called " lateral waves," due to contraction of one surface of a fibre which is relaxed on the opposite side, and intermediate parts between the two surfaces show gradations of all the intermediate stages between the phases of contraction and of relaxation. Engelmann (1878) made the most important contributions to this subject. He found in the muscle fibres of an insect (Thele- pliorus melanurus) treated as above, that the optical properties and the breadth of the isotropous and anisotropous bands altered inversely to the changes in the form of the fibres during contrac- tion. As shown by Fig. 21 the isotropous layers become ?is a whole more refracting, i.e. more compact and darker, while the anisotropous layers become less refractive, i.e. more fluid and Lighter. The breadth of both layers diminishes during contraction, but more rapidly in the isotropous than in the anisotropous bands, so that the latter increase in volume at the expense of the former. Thus, according to Engelmann, we must assume that during contraction the anisotropous substance subtracts water from the isotropous. The same fact is more evident in Fig. 22, which represents a lateral contraction wave, observed by Eollet near a motor end-plate. Ranvier (1880) employed an ingenious method for determining which bands of the sarcoplasm contracted, and which behaved passively, when stimulated. He put two muscles of a frog or rabbit into a condition of absolute isometry, and then fixed them by absolute alcohol while one was inactive, the other in tetanus produced by an induced current. On then comparing the muscles under the microscope, he found a reduction in the breadth of the dark anisotropous discs in the fibres of the tetanised muscle, which were now perceptibly equal to the clear isotropons discs, while in the inactive muscle they were considerably broader. He further pointed out that there was in the fibres of the tetanised muscle a considerable increase of the interfibrillar sarcoplasm, which appeared to break up the fibre into fibrils. According to Eanvier, therefore, the layers of anisotropous substance diminished in volume. Contrary to Engelmann's results, water does not pass from the isotropous to the anisotropous substance during tetanic tension, but diffuses from the latter into the interfibrillary substance. GENEKAL PHYSIOLOGY OF MUSCLE 29 Since the experimental conditions adopted by the two authors are essentially different, these apparently contradictory conclusions may not be irreconcilable. Both Engelmaim and Eanvier agree, though from different FIG. 21. (Left.) Fixed wave of contraction in muscular fibre of insect. (Engelmann.) The right half of the figure shows the fibre examined under polarised light; the doubly refracting bands look light on a dark ground with crossed Nicols. R, segment of fibre at rest ; //, segment beginning to contract ; C, contracted segment, a, intermediate disc of Amici ; b, accessory disc of clear or isotropous layer ; c, dark or anisotropous layer. Fio. 2'2. (Right.) Fixed wave of lateral contraction near a motor end-plate (Pin) obtained by Rollett from a muscle fibre of Cassida eifuestris. Very high magnification. reasons, in regarding the anisotropous disc as the only contractile part of the muscle fibre. Engelmann based this conclusion on a long series of observations which showed that contractility and double refractivity appear simultaneously during the ontogeiietic development of the muscle cells, and that the contractile force is greater in proportion as the double refractivity is more intense. 30 PHYSIOLOGY CHAP. Kanvier draws the same conclusions from the fact brought out directly by his experiments, viz. that the anisotropous discs are the only ones that change in form and diminish in volume during the state of isomeric tetanisation. More recently Schafer (1891) and Hiirthle (1901-4) have studied the microscopic variations in the muscle fibres during contraction, by photography and cinematography. Schiller's observation in particular, according to which minute canals, parallel with one another, run in the anisotropous layer in the direction of the fibres, is important. During contraction the isotropous substance penetrates these canaliculi, which dilate so that the muscular segment becomes wider and shorter. It is in any case certain that the transverse striatiou due to the separation of the doubly refracting from the singly refracting tibres is not indispensable to the contractility of the elements, because the unstriated muscle cells are contractile although much more sluggishly so than the striated fibres. Kanvier assumes in the latter that the separation of the doubly refracting substance into distinct masses facilitates and makes possible a quicker displace- ment of the fluid from the surrounding parts into the contractile layers. VI. We must next consider the phase of relaxation, in which the shortened muscle elongates and describes a curve which closely resembles the curve of contraction. The sole difference between contraction and relaxation lies in the fact that the latter is, generally speaking, more variable in its duration and rate of drop towards the abscissa. Formerly the elongation of the contracted muscle was regarded as a physiologically passive phenomenon, due to the cessation of the process of contraction. Very few admitted that both the shortening and the lengthening of the muscle were due to converse physiological processes : yet this theory of the con- tractive and expansive activity of skeletal muscle, which we have maintained since 1871, agrees with the corresponding theory of the properties of amoeboid protoplasm, cardiac muscle, and the musculature of the vessels and gut, which was discussed at length in Vol. I. The length of any skeletal muscle in the resting state is not constant, but varies under different intrinsic and extrinsic conditions. When any muscle or the tendon by which it is attached to the bone is divided in the living animal, the two segments draw apart or retract,- as though the muscle were normally in elastic tension and the distance from the points of its insertion were greater than the natural length. Cut muscles also retract after death, so that the tension of normal skeletal muscle is partly an effect of the elasticity of the i GENEEAL PHYSIOLOGY OF MUSCLE 31 muscle and the stretching to which it is mechanically subjected. One advantage of this extension is that, even if fully relaxed, the muscle on contraction immediately approximates its two points of insertion, without any loss through mechanical causes. The elastic tension of the resting muscle under normal con- ditions is not, however, explained solely by this passive traction. During life it undergoes marked oscillations under various conditions. This tension of the muscle, which is not passively determined by the distance between its points of insertion but is the expression of muscular activity, is known as its tone. Many facts show that the natural length of the resting muscle, on which its natural tone depends, is directly dependent on the nervous system. We shall elsewhere study the mechanism of this constant tonic influence which the nerve exercises upon the muscle : here we must confine ourselves to describing the classical experiment of Brondgeest (1860) which demonstrates it. If the lumbar plexus of a frog is cut on one side, after its spinal cord has been divided higher up so as to paralyse voluntary movements, and the animal is suspended vertically by its head, the two hind-limbs of the animal take up essentially different positions. The leg of the side on which the nerves were cut hangs fully extended, i.e. the muscles are flaccid, while that of the other side, on which the nerves are intact, is slightly flexed owing to the tone of the muscles. A similar phenomenon is observed on man in the fairly frequent cases of facial paralysis ; the distortion of the mouth and nose, which is very pronounced in speaking, is also obvious even in the state of absolute inactivity of all the facial muscles ; it is due to loss of tone in the muscles of the paralysed side and its persistence in the muscles of the sound side, owing to which the latter pull on the former. In certain abnormal conditions of the nervous system as in hysteria, somnambulism, and hemiplegia of long standing the tone of the muscles may be enormously exaggerated and become contractured (Brissaud and Eichet). This condition is essentially different from tetanus, which is due, as we have seen, to summation and fusion of muscular contraction. Simple twitches and even a true tetanus can be obtained from contractured muscles, by suitable electrical stimulation, as in the normal resting muscle : and the characteristic muscle sound can be heard during tetanus, that is absent in simple contracture (Brissaud and Boudet). Independently, again, of the nervous system, contracture may result from intrinsic alterations in the muscle, caused by certain poisons. This is a tonic state, quite distinct from the rapid contractions which can also be evoked from the muscle by means of make or break shocks during contracture. Among the poisons capable of producing this phenomenon, veratrin has been the most studied, particularly by von Bezold, Fick, Bohm, and others. PHYSIOLOGY CHAP. If one muscle of a lightly veratrinised animal (frog or toad) is detached, fixed to the myograph, and stimulated with an induction shock, the resulting curve will be very different from that of the normal twitch (in Fig. 23), as the rapid contraction is followed by a long contracture which slowly diminishes. Fick endeavoured to explain this phenomenon by assuming that the rapid primary contraction depends on the indirect excitation of the muscle transmitted by the intramuscular nerves, and the subsequent contracture on the direct excitation by the poison. f But this interpretation is contradicted by the fact that it is possible to obtain the same form of curve from animals that have previously been curarised. Griitzner proposes another explanation, and suggests that the rapid primary and slow secondary contraction depend on two distinct species of fibres FIG. 23. Contracture of gastrocnemius muscle of veratrinised toad, produced by simple break shock from an induced current. (Bottazzi.) The tracing shows that the veratrin contracture is preceded by an ordinary contraction, which is suddenly interrupted at the commencement of the relaxation. Time tracing in half-seconds. (pale and red, rapid and torpid) in the muscle. This hypothesis is contradicted by the later observations of Carvallo and Weiss, according to which both the pale muscles and the red exhibit the characteristic veratrin contracture. The most probable explanation is that of Bottazzi, who regards the coexistence of a rapid and a slow contraction as due to the presence in the muscle fibres of two distinct contractile materials, endowed with different degrees of excitability anisotropous and isotropous substance. The hypothesis that the singly refracting substance of the sarcoplasrn is capable of causing positive and negative variations in the tone of the muscle, independently of the simultaneous rhythmical excitation of the doubly refracting substance, explains the phenomenon discovered by Fano in the auricular musculature of Emys europea (Vol. I. p. 319), which exhibits rhythmical oscillations of tone, on which the ordinary cardiac rhythm is superposed. The plain muscles of the oesophagus in toad, fowl, i GENERAL PHYSIOLOGY OF MUSCLE Aplysia (Bottazzi), aud those of the dog's stomach also show automatic rhythmic oscillations of tone, similar to those in the tortoise auricle, and may be explained by contractility of the sarcoplasrn, which certainly predominates in these muscles. More recently (1901) Bottazzi lias endeavoured to extend his hypothesis to all contractile protoplasm, including the striated muscles of the skeleton. Why, he asked, should the muscular tetanus due to the fusion of elementary twitches reach a height considerably greater than that of a single twitch obtained from the same muscle with maximal stimulation ? This is explained by assuming that owing to the tetauising stimulus and the weight applied to the muscle the muscular tone is exaggerated into a contract ure, which represents a form of " internal support " maintained as long as the muscle remains shortened, while the rhythmical contractions rise above the level of this contracture (v. Kries, v. Frey, Griitzner). v. Frey (1877) had demonstrated Fin. 24. Myogram of frog's gastrocnemius loaded with 10'5 grins, (v. Frey.) t, t, myograms of tetanus; *. i. , s.i. , myograms of .simple contractions obtained with single shock of the same induced current; x.in.s., myograms of a group of contractions obtained with the muscle supported, i.e. relieved of the weight during relaxation. that on exciting the muscle of a frog by a series of induction shocks, while the muscle is so supported that in relaxing it is not stretched by the weight which it lifts in contracting, the con- tractions rise in proportion as the lever-support is raised by a screw, till they eventually reach the same height as the tetanus of the same muscle, loaded and not supported (Fig. 24). But v. Frey's explanation is not sufficient. We still ask- on what does the contracture depend '{ It cannot be due to activity of the same contractile substance as that on which muscle twitches depend, for it would then be unable to function as an internal stimulus. Bottazzi holds that it can only he interpreted on his hypothesis of the contractility of the sarcoplasm. He assumes that the rhythmical faradic stimuli (and in our opinion the weight which stretches the muscle as well) are capable, in addition to the rapid twitches that su inmate in the curve of tetanus, of evoking a further excitation and contracture of the sarcoplasm, which constitutes an internal support. If after induc- ing " veratrin contracture " in a muscle it is excited with a maximal induction shock, the resulting twitch rises above the level of VOL. Ill D 34 PHYSIOLOGY CHAP. contracture to the same height to which it rose above the abscissa of the base line, previous to contracture (Fig. 25). Probably, therefore, the rapid shortening of the muscle in contraction is independent of the slow and persistent shortening in contracture. The former, depends on the activity of the anisotropous, the latter on that of the isotropous substance. The fact that the tetanus-curve of a muscle rises normally above the maximal twitch is, however, capable of a far more simple interpretation. We have seen that the excitation spreads over the muscle like a wave. Hence even after a maximal shock all parts of the muscle cannot be simultaneously thrown into contraction. On the contrary, the parts first excited already begin to relax before the others reach the maximum of contraction (Fig. 16, p. 23). So that with maximal shocks the extent of the muscular shortening FIG. 25. Two contractions of toad's gastrocnemius, before (1) and after (2) veratrin contracture (I') on exciting by maximal induction shocks. (Bottazzi.) depends on the point of excitation, the rate at which the contrac- tion wave travels, and the rapidity with which the individual portions of the muscle contract and relax. If, on the other hand, a series of excitation-waves are sent in rapid succession through the muscle, all its parts will finally be in maximal contraction at the same time, which must obviously result in a much more pronounced contraction (Fr. W. Frohlich). The general conclusion that can be deduced from this discussion of the tone of the skeletal muscles is that tonicity may undergo positive or negative oscillations, which are probably the expression of corresponding changes in the elastic forces intrinsic to the muscular protoplasm. These changes may be due to the tonic influence exercised by the nerves 011 the muscles, or to stimuli acting directly on the latter. After section or paralysis of the nerves or motor end-plates the tone of the skeletal muscles is abolished ; it is normal in healthy individuals in whom the antagonist muscles exert reciprocal traction ; it becomes more or less strongly exaggerated under certain special abnormal conditions i GENERAL PHYSIOLOGY OF MUSCLE 35 of the nervous system, some of which may also he produced artificially in healthy subjects, and by curtain poisons which act directly upon muscle. It should be added that muscle tone may be inhibited under special conditions ; i.e. it may suffer a negative variation in which the length of the muscle is exaggerated beyond the normal. An interesting example of obvious lengthening of the muscles after direct excitation of their motor nerves was first observed by Eichet (1882) on the muscles of the crab's claw. This organ for the capture of prey and weapon of offence and defence consists of two arms, one of which is fixed, the other movable by means of two muscles of antagonist action, the one a very delicate abductor, the other a much thicker and stronger adductor. If the rigid branch of the claw be fixed in a clamp, and a thread attached to the movable arm, it is easy (either by direct transmission to a writing-lever, or by indirect transmission through a couple of Marey's tambours joined together) to record on a moving drum the reactions of the claw-muscles to induced or constant currents, acting directly on the nerves of the claw, or on one or other of the muscle.?. On exciting the nerve with a weak current, Eichet saw that the claw opened ; on exciting with a strong current, on the contrary, it closed. In the first case the action of the abductor prevailed, in the second, of the adductor. Eichet's observation was confirmed by Luchsinger, and elucidated by further experiments of Biedermann (1887-88). If the abductor is divided before exciting the nerve of the claw, the result is the same as in Eichet's experiments ; with weak stimula- tion the claw opens, with stronger excitation it closes. In the first case, therefore, there is elongation or relaxation of the adductor, in the second, contraction. If, on the contrary, the adductor be cut, a weak current causes opening of the claw, or contraction of the abductor, a stronger current closing of the claw and lengthen- ing of the muscle. The elongation of the muscle apparent in the first experiment with weak stimulation, in the second with strong, was interpreted by Biedermann as an inhibition of muscle tone, similar to that produced in cardiac muscle by excitation of the vagus. Piotrow r ski (1893) confirmed the fact already noted by Bieder- mann that to produce the inhibitory effect it is essential that the preparation should be in a state of considerable tonic excitation ; in fact it can never be obtained in summer, when the tone of the muscles is low. He noted further that the same current may evoke now contraction and now inhibition, according as the tone of the preparation is low or high. Temperature has a marked effect on the phenomenon ; high temperatures abolish the inhibitory effect ; low temperatures favour it ; the optimum for 36 PHYSIOLOGY CHAP. obtaining the inhibitory effect is about 8 C. For both claw muscles he saw that the latent period of the inhibition produced by a minimal stimulus is shorter than that which precedes con- traction evoked by a similar stimulus. Lastly, he found on stimulating the nerve with simple induction shocks that when the tone of the muscle was very pronounced the contraction was preceded by a brief depression of tone. The same was noted by (lad, and later by Nagy von Eegeczy and by Cowl, for nerve- muscle preparations of the frog under special conditions. All these researches on the reaction of striated crustacean muscles to stimuli present numerous analogies with the phenomena of cardiac muscle. Certain histological observations of Biedermann justify the conjecture that there are two different species of nerve- fibres in the crab's claw-muscles, as in the heart, some of which may excite the assimilatory or anabolic processes, others dis- similatory or katabolic changes. The former function like the vagus fibres, the latter like the sympathetic fibres, on the heart. Mangold (1905) has recently confirmed this hypothesis of a double in nervation of these muscles. VII. Alterations of form (contraction and relaxation, positive and negative variations in tone) are only the external expression of the physiological processes that take place within the muscle. To obtain a clear idea of these, we must next investigate the chemical composition of muscle, and the changes which it under- goes during activity and in rest. Muscle undergoes a profound physico-chemical alteration after death, which is termed rigor mortis. Muscles excised from the body of the living animal, or merely cut off from the circulation, become rigid after a certain time (varying from ten minutes to several hours) i.e. they are less soft and elastic, less extensible and at the same time shorter, thicker, darker, and less transparent. Their alkaline or neutral reaction becomes acid. As early as 1833 Sommer regarded cadaveric rigidity as a coagulation phenomenon. Briicke accepted the same theory, but proof was afforded for the first time in 1859 by Kiibne. He showed that when the living muscles of the frog were completely deprived of blood by an endovascular injection of salt solution, and gradually cooled to - 7 C. rubbed into fragments and squeezed under high pressure, it was possible at a temperature of to separate off a fluid which filtered slowly, was of syrupy consistency and slightly alkaline reaction, which he termed muscle plasma. At the temperature of the air, muscle plasma clots as easily as blood plasma, and takes on a gelatinous consistency. A fluid afterwards separates out, owing to the contraction of the clot. The substance that clots was termed my o sin by Kiihne, and the liquid that separates off, muscle serum. Muscle plasma, like blood plasma, begins to clot at the points of contact, and the process of i GENERAL PHYSIOLOGY OF MUSCLE 37 coagulation is accelerated by agitation and by rise of temperature. Cold checks coagulation ; above C. it proceeds very slowly ; at higher temperatures it becomes faster, and at 40 very rapid. Addition of distilled water or acids causes instantaneous co- agulation. It is obvious that the coagulation of muscle plasma corresponds to the rigor that develops after the death of the muscle. Muscle plasma indeed contains the whole of the soluble proteins of living muscle, and as on cooling muscle to - 7 C. its excitability is not abolished, but merely becomes latent, it may reasonably be concluded that extraction of muscle plasma at a low temperature destroys its structure, but produces no chemical alteration in the substance of living muscle. Kiihne's discoveries on frog's muscle were extended to the muscles of warm-blooded animals by Halliburton (1887), who nob only employed cooling to check the coagulation of muscle plasma, but also added neutral salts (sodium chloride, sodium and magnesium sulphate), as in the preparation of salted blood plasma (Vol. I. Chap. V.) The addition of water to salted muscle plasma causes it to coagulate like blood plasma when the fluid is at body temperature, while it does not clot at C. When coagulation sets in the reaction of the plasma becomes acid. In blood plasma fibrin is formed from fibrinogen by the action of an enzyme, and similarly in muscle plasma myosin is formed by the action of an analogous enzyme from a mother-substance, which Kiilme and Halliburton termed myosinogen. As in blood, fibrinogen, not fibrin, is pre-existent, so in muscle myosinogen pre- exists, not myosin. 0. v. Fiirth (1902-3), however, denies this analogy between the coagulation of blood and of muscle, as he failed to obtain experimental proof that the rigor mortis of muscle depends on the action of any ferment. Myosin has the same chemical composition as globulin ; it is insoluble in distilled water, soluble in solutions of neutral salts (sodium chloride, sodium and magnesium sulphate), and it coagu- lates at a temperature of 55-60 C. Myosin when dissolved in neutral salts has all the properties of myosinogen, and can easily be reconverted into myosin on simple dilution (Halliburton). The fact that myosin dissolved in a weak salt solution at a low temperature is doubly refracting in polarised light, justifies the assumption that the anisotropous discs that are actively concerned in muscular contraction are principally composed of myosinogen (C. Schipiloff and A. Danilewsky). Halliburton succeeded by means of fractional heat coagulation, and by salt solutions of different concentrations, in separating five different proteins from the muscle plasma, four of which are coagulable at different degrees of temperature, and one is un- coagulable. This last is a proteose, and is apparently identical 38 PHYSIOLOGY CHAP. with the eozyme which effects the coagulation or transformation of myosinogen into myosin. Of the four coagulable proteins, two (inyosinogen and the paramyosinogen or musculin of Hammarsten) form the clot, while the two found in the muscle serum (myo- globulin and -myoalbumiii) closely resemble or are identical with those present in blood serum. Muscle serum holds the pigments to which the muscles owe their colour in solution. The normal pigment of the red muscles is due to haemoglobin, identical with that of the erythrocytes, as was proved by Kiihne (1865) from the spectrum of muscles (diaphragm) that had been entirely freed from blood by prolonged washing with saline. MacMunn (1884-87) afterwards investi- gated the muscles of different classes of vertebrates and inverte- brates, and found that they exhibited a variety of absorption spectra, due in his opinion to a group of pigments which he named myohae matin. According, however, to Hoppe-Seyler and Levy (1889) myohaematin is only a decomposition product of the haemoglobin of the muscle. That haemoglobin is an intrinsic product of the muscle cells or fibres is shown by the fact that it exists in the muscles of invertebrates which have no haemoglobin in their circulating fluids. When the muscles of recently killed animals are treated with boiling water the proteins coagulate, and the extract contains all the soluble nitrogenous and non-nitrogenous organic substances of the muscle. The first form a group of compounds which represent different disintegration products of the proteins (creatine and creatinine zanthine, hypozanthine, carnine, uric acid and urea taurine and glycocoll). The second belong to the carbohydrate group and its derivatives (glycogen, dextrin, glucose, maltose, inosite, lactic acid, and lactates). Quantitatively speaking, creatine and glycogen (which we have already discussed, Vol. II. pp. 391, 310) predominate among these groups of substances in the muscle. Nothing definite is known at present about the physiological importance of creatine and creatinine. They are certainly formed by katabolic processes from the proteins in the muscle. In fact they are more abundant in muscles which have been overworked previous to the death of the animal (Monari, 1888) than in muscles analysed after rest. Nawrocki and Sarokin, however, found that the creatine-content is no larger in tetanised than in resting muscle. Another striking fact was discovered by Demant (1879) in Hoppe-Seyler's laboratory. In the muscles of pigeons starved until they have consumed all the non-nitrogenous reserve materials contained in the muscles, so that metabolism proceeds at the expense of protein disintegration, the content of creatine and creatinine amounts to three times that in normal pigeon muscle. Glycogen and its derivatives are the principal reserve material i GENERAL PHYSIOLOGY OF MUSCLE 39 utilised by the muscle during work. Nasse (1869) first poiuted this out, as he found that the glycogen content of muscle is in inverse ratio with the work performed. The best evidence for it lies in the fact that all muscles prevented from working by section of their nerves or tendinous attachments contain an excess of glycogen, as compared with the symmetrical muscles that have remained intact (MacDonnel, Chandelon, Manche, Weiss, E. Krauss). At the same time it is a striking fact that muscular glycogen diminishes far more slowly than hepatic glycogen in fasting (Weiss, Aldehoff, Luchsinger) ; this is not due to the fact that the liver normally supplies the muscles with glycogen, since even when the liver has been excised the glycogen-content of the muscles can be increased by feeding with cane-sugar. Muscles have therefore an amylogenic and glycogenic function which is perfectly independent of that of the liver (Prausnitz). Helmholtz (1845) observed that during tetanus the extractives of muscle which are soluble in water diminish, while those soluble in alcohol increase, which depends at least in part on the reduction of glycogeu and increase of glucose coincident with muscular activity. Lactic (or sarcolactic) acid is an important constituent of muscle; during rigor mortis it may amount to O'l-l'O percent (Bohm, Demant). Living, resting muscle has a neutral or feebly alkaline reaction, while rigid muscle has a distinctly acid reaction. Muscle plasma, too, is first neutral or feebly alkaline, and becomes acid after coagulation. The cause of this reaction has been the subject of much controversy. Some authors have tried to replace Liebig's early theory (1847) that it is due to a development of lactic acid, by the hypothesis that the acidity of muscle is caused exclusively by mono-phosphate of potassium. This can only be proved by excluding the formation of lactic acid during the life of the muscle. It may, however, be assumed that the free lactic acid, acting on the potassium bi-phosphate of normal living muscles, is converted into potassium lactate, by reduction of the neutral into acid phosphate, which may partly account for the acidity of dead muscle. It was formerly, and is still sometimes held (Araki), that lactic acid arises from disintegration of the glycogen. But this is obviously controverted by the work of Bohni and of Demant. Bohm (1880) showed that the amount of lactic acid formed during the death of the cat's muscle is in no relation with the glycogen content, since the latter gradually disappears during starvation, while the proportion of lactic acid is not less than normal. Demant (1879) showed that glycogen entirely disappears in the pectoral muscle of pigeon after eight days of fasting, while there is a free formation of lactic acid. From these results they concluded that the mother-substances of the lactic acid formed by muscle must be sought in its proteins. 40 PHYSIOLOGY CHAP. Lactic acid has been proved experimentally to be one of the normal katabolites of muscle, formed not only in dead but also in living muscle during rest, and still more during work. On artificially circulating defibrinated blood for three hours through the muscles of the lower limbs of a dog, the amount of lactic acid that can be extracted from the blood that has repeatedly passed through the resting muscle amounts to about 1-5 grms. Tetanisa- tion of living muscle certainly increases lactic acid formation ; the amount of lactates present in the blood (Spiro) or excreted by the kidneys (Colasanti and Moscatelli) increases. The muscles do not, however, acquire an acid reaction, because the lactic acid is given off as fast as it is formed to the blood - stream, where it is saturated with alkali. When, on the contrary, a group of muscles previously cut off from the circulation is tetanised they become acid owing to accumulation of lactic acid, while the corresponding, non-excited muscles of the opposite side remain neutral or alkaline and contain little lactate (Marcuse, Werther). In excised frog's muscle slight electrical excitation, which causes no violent contraction, suffices to convert the neutral into an acid reaction (Gotschlich). From these and other experimental researches it may be con- cluded that the formation of lactic acid is associated with the life of muscle, and not with its death, as many believe. The con- vincing evidence of this lies in the fact that when a muscle with normal circulation is tetanised, then excised, it forms less acid during its death than the corresponding muscle which was not excited, showing that the mother-substance of the acid has been used up, and that the amount of acid developed by a muscle in dying corresponds with the quantity of mother-substance con- tained in it. In addition to protein and glycogen the fats may be regarded as reserve materials; these are found not only in the inter- muscular connective tissue, but also within the fibres and in the sarcoplasm, and especially in the fibres of the red muscles, in the form of droplets which give them a turbid appearance (Ph. Knoll). Some of these droplets stain black with osmic acid, others remain unstained and probably consist of lecithin. During starvation they disappear, and return on feeding. In morbid degenerative changes, as after phosphorus poisoning, the amount of fat in- creases enormously, and it must therefore be due not to storage, but to regressive metamorphosis of the proteins. The part played by the fats in muscular metabolism is un- known. The small fat-content of normal fibres is no reason for regarding it as unimportant, since in all probability fat does not accumulate normally because it is consumed as soon as formed. According to Bogdanow the fat of muscle-substance is richer in volatile fatty acids than that of the interniuscular connective i GENERAL PHYSIOLOGY OF MUSCLE 41 tissue. It seems to us uot improbable that tbe development of latty acids contributes to the acidification of muscle during its death. The inorganic compounds of muscle are water and the salts contained in the ash. The amount of water in human muscle is not less than 70 per cent and may rise to 72-74 per cent. It varies to some extent in different classes of muscle. Generally speaking, embryonic muscles and those of young persons are richer in water than those of adults and old people. During starvation the water diminishes considerably ; it is increased, on the contrary, by work, which suggests that during the discharge of the energy accumu- lated in the muscle water is one of the end-products of the carbo- hydrate metabolism. Of the mineral salts contained in the ash of muscle the pre- dominance of potash over soda among the bases, and of phosphoric acid among the acids, is remarkable. According to Bunge the ash of 100 parts of muscle contains on an average : K,0 . . . 4-407 Fe.,0 3 . . . O057 Na.,0 . . . 0-790 P.,6 3 . . . 4-612 C.,0" . . . 0-079 01 ... 0-682 MgO . . . 0-396 S0 3 . . . 0-100 It is certain that in living muscle these mineral compounds are not all present in the form of simple solutions, but are in organic combination. The sulphuric acid is formed from the sulphur of the proteins during combustion. The phosphoric acid is only pre- existent to a very small extent in living muscle, the greater part arises from the combustion of the lecithin and the nucleins. The ferric oxide results from the disintegration of the muscular haemoglobin. The gases of muscle consist in a considerable amount of carbon dioxide and traces of nitrogen. The mercury pump has failed to separate any trace of oxygen from muscles when carefully washed free of blood, obviously because the oxygen combined with the haemoglobin is dissociated and carried away in the washing. According to Hermann (1867), 2 - 74 per cent free, and 1*95 per cent combined C0 2 can be extracted from muscle which is bled, minced up, and triturated previous to the onset of rigor. Stiutzing found that on prolonged boiling of muscle another substance decomposes, which gives rise to a free development of CO.,. It is probable that the carbonic acid developed in tetanus and" during rigor is derived from the same substance as is decom- posed by boiling. We have already reviewed the principal facts of muscular respiration (Vol. I. p. 393). The important fact is that the gas exchanges of muscle are exaggerated during activity, i.e. both 42 PHYSIOLOGY CHAP. elimination of C0 2 and absorption of 2 are increased ; but the CO value of the respiratory quotient p increases also, because the 2 output of C0 9 is greater than the intake of 0., (Ludwig and Sczelkow, 1862, Ludwig and Schmidt, 1868, v. Frey, 1885). Hans Winterstein (1907) demonstrated that the rigor mortis of mammalian muscle is essentially due to the loss of oxygenation, owing to arrest of the vascular circulation ; it is thus an asphyxia phenomenon. In fact, if a mammalian muscle, excised from the body, is kept in Einger's solution at an oxygen pressure of 2-4 atmospheres, at a temperature of 36-38 C., its excitability may be preserved for twenty-seven hours after dissecting it out, with no appearance of rigor. If rigor sets in, it may be kept off by successive strong doses of oxygen. When it is once established, however, further oxygenation is useless. VIII. There can be no doubt that the chemical processes which come into play during the activity of muscle are the source of the physical energy which the muscle develops, and the external mechanical work which it performs. This is a direct corollary to the law of the conservation of energy. Muscular excitation is the most classical instance in the living world of the explosive dis- charge of energy, i.e. the rapid transformation of potential chemical energy iuto kinetic energy, in the form of work, heat, and electricity. As in the steam-engine the mechanical work depends on the combustion of coal, so the mechanical work of the muscular machine results from the katabolic processes of disintegration and oxidation of the organic compounds which build up the muscle. Having now discussed the chemical changes that go on in living muscle during rest and in activity, we must next turn to the problem of the origin of muscular energy, that is, which of the food stuffs introduced into the body and assimilated by the muscles furnishes the necessary energy for their activity. Starting from the fact that proteins represent the chief con- stituents of muscle, and that a full meat-diet increases the work- capacity of muscle, while a diet poor in protein depresses it, Liebig (1857-70) assumed that the source of muscular energy must be sought in the proteins. There can be no doubt that the nitrogenous exchanges of muscle are very active, much protein being consumed both in rest and in activity ; but Liebig showed no direct experimental proof that the activity of muscle depends mainly upon increased protein metabolism. Bischoff and Voit (1860) thought the question could be solved by comparing the urea content and the total nitrogen content of urine during hard muscular work, with that eliminated during rest, the same quantity and quality of food stuffs being ingested. In both man and dogs they obtained a nitrogenous equilibrium after a few days of uniform dieting, i.e. equivalence between the nitrogen r GENEKAL PHYSIOLOGY OF MUSCLE 43 introduced and that eliminated with the urine. They found that this equilibrium was not much affected by days of rest, as com- pared with working days, i.e. no perceptibly greater quantity of nitrogenous substances was consumed during work. This result was confirmed by the later and more accurate researches of Voit (1870-81). He found not only in dogs kept on a constant diet, but in starving animals also, that the amount of nitrogen excreted was not much increased by work, and that the increment was in no case in ratio with the amount of work done. Experiments made on themselves by Fick and Wislicenus (1685) supported this result. They climbed the Faulhorn, 1906 m., in six hours, during which time they collected all the urine passed. During the twelve hours preceding the climb and on the ascent they took no nitrogenous foods, and lived solely on starch, fat, and sugar. From the amount of nitrogen contained in the urine they deduced the amount consumed during the climb. They further calculated the amount of mechanical work accomplished by the leg muscles of each, multiplying the body-weight by the height of the mountain ; the work done by the other muscles was not calcu- lated. From the combustion heat of the protein consumed during the ascent they calculated the maximal yield that could be obtained if the whole of the protein in the body were burned up. The result showed that the work done on the climb far exceeded that which could be performed by the decomposition and oxida- tion of the protein consumed. From this they concluded that the non-nitrogenous substances introduced with the food or stored in the body as reserve materials supply energy which can be utilised during work. The direct proof that it is principally the non-nitrogenous substances (carbohydrates and fats) that are consumed during work is derived from experiments on the respiratory gas-exchanges, which show that while the elimination of nitrogen does not increase perceptibly the excretion of carbonic acid and absorption of oxygen do increase considerably during work (Pettenkofer and Voit, 1866, and others). This agrees perfectly with what was stated above in regard to the consumption of glycogen and fat in muscular activity. What part, then, does the protein of muscle play in the per- formance of its functions ? Since muscle consists principally of proteins, which are the fundamental substrate of all living tissues, it must be recognised that these substances play an active part in all the internal processes that go on in muscle. Traube suggested that the proteins of living matter have the task of carrying oxygen to the nou- nitrogenous combustible materials, but are not themselves decomposed. This agrees with PHiiger's general theory of the oxidation processes of the animal body, according to which the intra-molecular oxygen, chemically 44 PHYSIOLOGY CHAP. bound up in the molecules of living matter, is the source of the disintegrative and oxidising changes that go on in all the tissues. We may therefore assume that the proteins of muscle absorb and combine with oxygen during rest, and pass it on during activity to nitrogen-free molecules, while they once more take up fresh oxygen in the resting period which follows. On this hypothesis the proteins of muscle fulfil the same function as an enzyme during work. But the inadequacy of this explanation is evident from the fact that muscle, independently of rest or activity, is the seat of an active nitrogenous metabolism, which must therefore be heightened during work. Further, intense muscular work is possible on an exclusively flesh diet. Voit showed that dogs can be kept alive under normal conditions on an exclusive diet of meat. In his latest researches (1892) Ffliiger fed a great Dane of 30 kgrm. for nine months on horseflesh, which was almost free of fat, and made it do hard work for weeks by dragging a heavy cart for 13 km. in two to three hours. During this time the animal remained exceptionally well and vigorous. Under these conditions almost the whole of the energy developed in the animal's muscles must be derived from disintegration of protein, since the small quantity of glycogen and fat ingested is negligible. Nevertheless, on comparing the amount of nitrogen given off by the animal in periods of work and of rest, Pfliiger could only confirm the fact that it did not vary conspicuously, and that the increase was never in proportion with the work performed. To explain this fact he assumed that the excretion of nitrogen does not increase definitely after work, because though the muscles consume more protein, other tissues consume less, by a sort of adaptation due to the lesser amount of protein circulated. Verworn, however, pointed out that this hypothesis cannot explain Voit's observation on the dog, that even in the fasting state when the amount of circulating protein at the disposal of the muscles and other tissues is minimal, nitrogen elimination does not increase proportionately with hard work (making a wheel revolve on its axis). Pfliiger suggested later that the increased disintegration of protein effected by the muscle during work does not show a larger excretion of nitrogen in the urine, because the nitrogenous waste products are regenerated synthetically into the complex molecules of protein, by combining with non-nitrogenous atoms lost during the work, at the expense of nutrition, or of the reserve materials. In other words, it is possible and even probable that the nitrogenous products of proteolysis, which is increased in muscular work, do not leave the body like the non-nitrogenous products, which are excreted principally in the form of carbohydrate and water, but are stored up and partially utilised again in the synthetic regeneration of protein : this is to some extent analogous i GENERAL PHYSIOLOGY" OF MUSCLE 45 to the process by which the proteoses and peptones are regenerated into protein by the intestinal epithelium, and the amino-acids (which are the final products of the digestive decomposition of the proteins) restore and build up the tissues, after being reabsorbed into the lymph and blood. So that muscular proteolysis, which is stimulated or increased by work, in its turn promotes the genesis of protein and consequently the quantity of nitrogenous products in the urine does not materially increase during work. This hypothesis appears to us acceptable in view of recent researches on the complex structure of the proteins which build up living matter, and the different cleavage products that can be isolated by the action of enzymes. Pick's studies (1899) on the proteolytic products into which fibrin can split under the action of pepsin are of first importance. Of these products he was able to isolate : (a) A proteoalbumose, which contains no carbohydrate group, but has much tyrosine and indole, gives off no glycocoll among its decomposition products, and holds sulphur only in unstable equilibrium. (&) A heteroalbumose, which contains no carbohydrate group and hardly any tyrosiue and indole, is rich in leuciue, with some glycocoll, and holds sulphur only in unstable combination. (c) A deuteroalbumose, which contains no carbohydrates. (V) Two deuteroalbuminoses rich in carbohydrates. (e) Two peptones containing carbohydrates. The importance of these results consists in the fact that it is comparatively easy to separate the protein molecule from the carbo-hydrate group (which is oxidised during muscular work) without loss of the fundamental chemical properties of the pro- teins, which therefore retain their capacity for synthetic regenera- tion into protein under the influence of the anabolic activity of the living tissue -cells. If we admit an anabolic proteogenic activity in the intestinal epithelium, it seems reasonable also to assume that it exists in muscle (Vol. II. p. 328). IX. We have said that muscular contraction is the most classical and hence the best investigated instance of an explosive discharge of energy in the living world. The potential chemical energy stored up in the muscle is converted during excitation into kinetic energy, which appears in the forms of mechanical work, heat, and electricity, each of which must be considered separately. The work done by muscle is measured by the product of the weight raised by the muscle into the height to which it is raised, w x h. If, therefore, the muscle contracts without lifting a weight or overcoming any resistance, it performs no mechanical work. This supposition is, however, purely theoretical since the muscle always has to carry its own weight, which may indeed be reduced 46 PHYSIOLOGY CHAP. to a minimum if the muscle is laid horizontally on mercury, after first dipping it into oil to diminish the surface friction. Again, the muscle does 110 work when it is loaded with such a heavy weight that it is unable to raise it. In the first case the energy developed by the excitation is exhausted in the contraction, in the second in the tension of the muscle ; but in both cases no external mechanical work, but only internal mechanical work is done. On calculating the external work done by a muscle in raising regularly increasing weights, it is found that it increases quickly at first, and then more slowly, until it reaches a certain maximum, after which it diminishes again and finally becomes nil on reaching the weight which the muscle is unable to lift. Fig. 26 illustrates grms. i 50 .. 100 .. <50 .. 200 .' 250 " 300 .. 350 i 400 .. 450 >, 500 min. 5 6 5 4 3 2 5 2 grin. mm. .. 550 .. 700 .. 900 ,.000 N<000 > i. 900 " 675 ii ., 800 ,,675 ,, BOO Fio. 26. Diagram showing work done by muscle frog's gastrocnemius. (A. D. Waller.) these experimental results, which can be verified on every muscle that is loaded and stretched before contraction, or merely while it contracts. It may thus be stated that there is a given weight for every muscle, at which it reaches its maximal yield of work, and that with diminution or increase of the load the work becomes gradually less till it finally reaches zero. This law of course applies also to all groups of muscles which co-operate in the work performed. The resistances encountered by the different muscles concerned in complicated action vary ; the degree of shortening which they undergo varies also. Generally speaking, the strength of a muscle, i.e. the weight it is able to lift, increases in proportion to its diameter, that is, the number of fibres it contains. Since work is the product of the weight and the height to which it is raised, it follows that, other things being equal, the work of a muscle is in proportion with the product of its length and cross-section, viz. GENEKAL PHYSIOLOGY OF MUSCLE 47 the volume or mass of the muscle. These relations between the size of a muscle and the energy it is capable of developing : between the length of a muscle consisting of parallel fibres and its degree of contraction ; and finally between the weight of the muscle and the useful work it is capable of yielding were all noted by Borelli in the early half of the eighteenth century, and were fully considered and cleared up by Weber in 1845. The absolute force of a muscle is measured by the minimal weight that it is unable to lift under maximal excitation (Weber). Since it is proportional to the cross-section or diameter of the muscle, a universal standard is obtained by calculating the absolute force of a square centimetre of the muscle section. The absolute force of the muscles varies in different animals and even in different muscles of the same animal. It varies for a square cm. of frog's muscle between 7 and 8 kgrms. (Henke and Knorz) or even 9 and 10 k grins. (Koster, Haughton). Attempts have also been made to determine the absolute force of a sq. cm. of human muscle by measuring the cross -section on a dead subject of the same physique and muscular develop- ment as the subject of experi- ment. Here, again, the values obtained were very different : 2-8-3 kgrms. (Eosenthal), 5-10 kgrms. (other experimenters). It should be noted, however, that these experiments on man were made not with artificial tetanisation, but with a voluntary yield of work, in which the energy developed may be double, or at least a third more than that developed on stimulation with a tetanising current. From the clinical point of view, investigation of the relative strength of certain groups of human muscles is far more practicable. The dynamometer is usually employed for this purpose. It consists of a strong oval steel spring, which is compressed by the hand, while an index moves along an empirically graduated scale to indicate the amount of compression and thus of the power developed in the group of muscles which come into play when the hand is closed. The figures obtained by this instrument are, however, of little value, since they can be modified by practice, attention on the part of the subject, and, above all, degree of voluntary effort, which may vary considerably, even independently of the conscious will of the subject. FIG. 27. Dynamograph. (A. D. Waller.) 48 PHYSIOLOGY CHAP. Morselli added a contrivance for air- transmission, which made it possible to record the compression of the spring upon a revolving cylinder, and which transformed the dynamometer into a dynamo- graph, by which the tracing of a series of maximal voluntary contractions of the flexor muscles of the hand, at regular intervals measured by the beats of a metronome, can be recorded. Such FIG. 28. Tracing from Waller's dynainograph, to show elli-cls of fatigue and recovery. curves show not only the comparative force of the muscles, but also their resistance, or the ease with which they become fatigued. Still more simple is Waller's dynarnograph (Fig. 27), in which the pull of the hand upon a strong steel spring is registered directly by a long lever. Fig. 28 shows the tracing of six groups of maximal contractions, at regular intervals ; between each group Fn.. '_".!. Mosso'x c] i;oi;Tapli. there is a uniform pause for rest. The drop in the line uniting the apices in each group shows the fatigue of the muscle ; the return to the original executed height in the next group represents its recovery during rest. The dynamographs of Morselli and Waller are based on the isometric method, and consequently record the maxi- mal tensions of the flexors of the hand, and the correlative internal work ; Mosso's ergograph (Fig. 29) is an instrument based on the isotonic method, and it records the maximal contraction of the GENEEAL PHYSIOLOGY OF MUSCLE 49 flexors of the middle tinger, on loading with a given weight, and therefore the external work (in kilogranimetres) performed during maximal voluntary effort. The arm is placed in the supine position and h'xed to a horizontal support. A leather ring is applied to the middle finger, which carries a string that runs over a pulley and is weighted at the end. Raising the weight displaces a lever, the point of which records the amount of flexion of the finger. Mosso attached a supporting screw or stop to the indicator of the ergo- graph, by which the flexor muscle of the finger can be relieved of its load during rest, and the weight only pulls on the muscle during its contractions. FIG. 30. Two tracings of different types from Mosso's ergograph, taken from two boys of the same age and habit ; in both a weight of 3 kgrms. was lifted every two seconds. The most striking results obtained in the earliest researches of Mosso and his collaborators (1890) by the study of the ergograph tracings in a series of voluntary maximal efforts at regular intervals are as follows : (a) There is no common type for the ergograph fatigue curve, but each individual has a personal type i.e. under good physio- logical conditions, in a state of repose, with a given load and definite rate, each individual even at long intervals exhibits the same fatigue curve, although the amount of external mechanical work may vary widely (Fig. 30). (6) The personal type of the fatigue curve persists even when the fatigue is produced, not by voluntary effort, but by rhythmic electrical stimulation of the nerve or muscle. (c) Pronounced mental fatigue or fatigue of all the muscles of VOL. in E 50 PHYSIOLOGY CHAP. the body produces rapid exhaustion on the ergograph, even if the curve is obtained by electrical excitation. (oT) Ergograph work may alter the elasticity of the muscle, increasing or diminishing it ; in certain individuals it may excite contracture, which is the more readily produced in proportion with the strength and frequency of the stimulus, and the weight the muscle has to raise. The ergograph curve depends on the combined effects of fatigue of the nerve-centres and fatigue of the muscle, though the latter always predominates. " The characteristic phenomena," Mosso writes, " are peripheral, since the muscle exhibits its char- acteristic fatigue curve even with artificial stimulation. ... It is not the will nor the nerves, but the muscle that is weakened after arduous brain-work." Maggiora subsequently brought out the great importance of the varying conditions under which external mechanical work is performed on the ergograph : (a) There is a certain weight which elicits the maximum of utility ; with weights below a certain value, no sign of fatigue is perceptible. (6) With every load, the slower the rhythm of contraction the more external work can be performed, and the more the onset of fatigue is delayed. For any given weight there is a rate at which the contractions can proceed for a long time with no trace of fatigue. (c) If a muscle is contracting at a given rate slow enough to allow of its complete recovery at each contraction, and the load is then doubled, it is not sufficient to reduce the rate to half its original frequency in order to obtain the same yield of mechanical work from the muscle. (d) The interval which must elapse between two ergo- graphic curves in order to obtain normal fatigue curves during the whole day is from 1| to 2 hours. The weight of the load is a matter of indifference between certain limits (2-4 kgrms.). (e) The work performed by a muscle that is already fatigued is far more injurious to that muscle than a greater amount of work performed under normal conditions. In these studies Mosso, Maggiora, and other investigators, in calculating the work effected by the muscle, neglected the end part of the tracing which consists of low, long-drawn-out con- tractions. Lombard (1890) investigated this terminal phase, and discovered that when the ergogram appeared to stop, it usually continues as a new series of contractions, in which the rise and fall of the curve were approximately regular. According to Lombard these periods are only to be seen in the voluntary ergogram, and are due to spinal fatigue. Owing to the ease with which the ergograph can be used it is i GENERAL PHYSIOLOGY OF MUSCLE 51 employed by psychologists and clinicians as well as physiologists. The method is universally allowed to make functional isolation of a limited group of muscles possible ; average weights (.'5-4 kgrms.) should be used to ensure the better graduation of the work and curves that are neither too short nor too long ; and it is assumed that the output of work with this load and under the right experi- mental conditions for the ergograph is a true expression of the physiological capacity of the muscle in relation to the weight. Above all, psychologists and psychiatrists sought - - on the strength of Mosso's results, and obviously going farther than he originally attempted to emphasise that both central and peri- pheral or muscular fatigue were shown in the curve. Kraepelin affirmed that in the ergographic curve the height of lift expresses muscular fatigue ; the number of contractions, on the contrary, gives the measure of mental fatigue. This proposition includes the conception that the cessation of the ergograph curve is due to muscular exhaustion, i.e. functional incapacity of the nerve-muscle apparatus, caused in all probability by the curarising action of the fatigue products, owing to which the psychical impulses encounter an increasing resistance. In fact, the experiments of many workers upon the influence on the ergograph curve of different external conditions (as temperature, pressure, time of day, etc.), as well as of many internal states (state of nutrition, period of digestion, special diet, exhibi- tion of stimulating agents, of organic extracts, etc.), have always yielded very uncertain results. The output of external mechanical work never varied perceptibly from the ordinary physiological limits. U. Mosso attempted by a series of experiments to determine whether the administration of foods sugar in particular could restore the potential capacity of the muscle depressed by work. The most definite conclusion was that the action of sugar was only beneficial with the ergograph when the individual was in a condition of extreme fatigue. Generally speaking, the ergograph is not suitable for solving these questions Zuntz and his pupils utilised it, but only as an index to the state of fatigue on certain occasions when the subject was executing a definite piece of work that involved the musculature of the whole body. If the subject is made to do a known quantity of work in the interval between the ergographic records, a per- ceptible recovery is seen in the next ergogram if small quantities of food are administered. The value of the ergograph curve as an index of muscular fatigue on the one hand and mental fatigue on the other, as Kraepelin has used it, is very doubtful. In 1898 Treves, working in the Physiological Institute of Turin on the laws of muscular activity in man and animals, made 52 PHYSIOLOGY CHAP. certain modifications in the methods of investigation, and obtained results which frequently contradicted previous conclusions. His first experiments were carried out on the rabbit, with direct and indirect excitations of the muscles once a second. The tendon of the muscle was not separated from its insertions, but the resistance cjr. 1150 Fio. 31. Ergogram of rabbit's gastrocnemius, loaded with 1150 gnus, (maximal weight). The sciatic was excited every two seconds. (Treves.) of the weight was transmitted to the muscle by means of the natural bony lever of the rabbit's leg, the end of which is connected with the writing point of the ergograph. He used maximal tetauising stimuli of very brief duration, in imitation of voluntary impulses. Before taking the ergograph curves, Treves ascertained at what weight the muscle was able to contract, with maximal FIG. 32. Ergograph tracings from same muscle as preceding figure. The initial maximal weight was gradually diminished so as to determine the maximal terminal weight at which the rhythmic lifts no longer make a descending curve, but form a horizontal line (constant phase of ergogram). (Treves.) excitation, so as to serve up maximal work. As he did away with the supporting screw of Mosso's ergograph, the weight pulled continuously upon the muscle, and not merely during contraction. Under these conditions Treves obtained an ergogram in which the height of the contractions regularly diminished, but more and more slowly, till they became almost inappreciable, and below GENERAL PHYSIOLOGY OF MUSCLE 53 this they showed no tendency to further diminution (Fig. 31). On the usual interpretation of ergograph curves it would be said that the muscle had become incapable of any further work at this point. But this is not the case ; the muscle is still capable of serving up a considerable amount of external work. For if the weight is gradually reduced, the height of the contraction again increases until a new maximal weight is found which yields Fn:. 33. Ergograph tracing of rabbit's gastrocnemius, after ten minutes' rest, during phase of constant work. (Treves.) the maximum of work (Fig. 32) and corresponds to about 400 grms., i.e. much less than the original weight, which was 1150 grms. If the rhythmical maximum excitation is continued with this new load (which may be called the terminal maximal load), an endless series of contractions is obtained, which correspond with the production of constant work. The series of contractions following on a falling curve exhibits similar constancy, irrespective of the load which is carried. Fig. 32 reproduces a few cm. only of the tracings obtained with different loads in testing for the Fin. 34. Ergogram of rabbit's gastrocnemius, loaded with 600 grms., after twenty minutes' rest, during phase of constant work. (Treves.) Before resting the muscle gave at each lift a constant yield of 400 grms. x 4 mm. = 1600 grm. mm. After resting the maximal work was 600 grms. x 11 mm. =6600 grm. mrn. terminal maximal load in the second phase of the ergogram. This constant phase may preserve its regularity at a rhythm of 1 sec. for over 2000 consecutive contractions, each representing work that may amount to 2500 gr. mm. If the muscle is allowed a longer or shorter pause for rest during the period of constant work, the maximal work of which it is capable at each contraction increases again, in proportion as the resting-pause has been longer. This partial recovery of power is shown in the capacity of the muscle to trace a new ergogram with 54 PHYSIOLOGY CHAP. diminishing heights of contraction which is followed by the constant phase with uniform values (Figs. 33 and 34). If the falling portion of the ergogram is obtained with a sub-maximal load, the tracing passes into the constant phase without altering the weight, in which case each contraction represents a sub-maximal yield of work (Fig. 35). The level of constant work may be maintained for several hours without any sign of the characteristic modifications of fatigue Fn;. 3.x Kilogram of gastrocnemius showing decreasing and constant phase, at a sub-maximal load. (Treves.) (Fig. 36), but finally there comes a moment at which the muscle can no longer yield any mechanical work owing to the gradual onset of rigor. In the ergogram of the gastrocnemius obtained with electrical stimulation and an initial maximal load, the curve of the contraction heights sinks rapidly to zero, or to a very low level., because after a certain number of contractions the load becomes super-maximal. If the weight could be gradually adjusted as the muscle weakens so as to be maximal at each fresh contraction, the ergogram would show no intervening stage of complete or almost complete cessation of work, which is solely due to imperfect mechanical conditions. A more important curve would stand out as a whole namely the FIG. 36. Ergograph tracing of rabbit's gastrocnemius (phase of constant work) after two hours' rhythmical maximal excitation. (Treves.) The tracing shows a slight irregularity of the base line of the contractions, but the work remains fairly constant. work curve, represented by a series of rhythmical contractions executed under conditions of maximal work. Treves endeavoured to approximate to such conditions in his experiments, and con- structed a diagrammatic work curve} the course of which recalls the form of a muscle twitch, with an ascending and a descending phase, passing gradually into the period of constant work. Treves was the first to apply these methods of research to the human subject. He did away with the support of the ergograph lever, and made the subject lift a weight of 4-5-6 kgrms. (accord- ing to the individual) every two seconds by a voluntary maximal effort. In consequence the constant level was always obtained on GENERAL PHYSIOLOGY OF MUSCLE 55 the ergogram, and forms an essential part of it. This proves that supporting of the ergograph lever creates artificial work conditions, which, together with the variations in elasticity and tone which the muscle suffers during work, cause a more or less rapid decline in the successive contractions, and shorten the ergogram prematurely. In extending his investigation to voluntary work, Treves found it necessary to alter his system of loading, and to apply the principle of maximal loading in this case also that is of gradually altering the weight as the muscular power declines. In this study he employed the flexor muscles of the forearm, and invented a new ergograph for the purpose which may be studied in his original memoir. A minute analysis of Treves' results is beyond the scope of this text-book. We must confine ourselves to a few of the most important principles that can be deduced from them : (a) During voluntary work on the ergograph the height of contraction remains constant so long as the conditions of work are favourable, and above all so long as the load is not excessive. (6) The maximal load that can be raised by voluntary effort corresponds with the load which necessitates the maximum of work. (c) The maximum load diminishes gradually in a hyperbolic curve till it reaches a value which varies with the rate of work, but is practically constant. The curve of voluntary work, like that obtained by artificial stimulation, consists of two phases a descending and a constant part. The differences seen in the two curves arise from the fact that in the case of work elicited by artificial stimuli the stimulus is constant ; in voluntary work, on the contrary, the effort varies since it diminishes independently of the will, according to the resistance experienced in carrying out the movement. (d} The ergograph tracing consists of a series of vertical lines approximately equal in height, with no feature characteristic of the individual or of the experimental conditions. The true ergogram is the line according to which the work diminishes with the maximal load. (e) The main factor which determines the rapid fall of the curve with a constant load is the appearance of unfavourable mechanical conditions. To obviate this the muscles must be left perfectly free to contract, and the contraction of other muscles connected with those under investigation must not be hindered. It suffices to see that the graphic apparatus records only the movements of the bony lever in question. Further, the normal conditions under which the muscle acts must be respected, and the gradual unloading of the muscle during contraction permitted, as would happen by the displacement of the bony lever on which the muscle naturally works. 56 PHYSIOLOGY CHAP. (/) The will as a psychical factor has no influence on the fall of the curve with a constant load. Directly the load is adjusted the tracing is prolonged by an unlimited number of contractions with a considerable production of work. All other hypotheses are superfluous, on which the functional incapacity which appears in the ergograph curve only with the constant load has been explained by assuming a sort of antagonism between the height and the number of the contractions. () are retained, but the contrivances for fixing the arm and fingers that are not working are discarded. The arrangement for applying the weight is altered. The cord passes over the pnlley d, the axis of which ends in a small crank which revolves round the axis with the flexion of the middle finger. The lower part of the apparatus serves to graduate the weight h and keep it maximal by running it along a metal bar one metre long, which moves upon the axis k. It is obvious that the resistance opposed to the flexion of the finger must decrease regularly, in proportion as the weight is farther from the point 100, and nearer the zero at axis /,-. The " constant phase " of the work curve was investigated by other authors, and appreciated at its proper value. Some physio- logists, however, while recognising the theoretical accuracy of the isotonic method and Treves' application of the principle of the maximal load, regard the isometric method as more practical and better adapted to the study of voluntary muscular activity. 58 PHYSIOLOGY CHAP. Schenck justly remarks of Treves' method that, while it corrects certain faults of the original ergograph, it introduces new corn- plications. Obviously, as Treves himself admits, contractions against different loads cannot be compared, because with variations of the weight raised the energy of inner vation must also vary, other conditions being equal. Schenck resumed the study of muscular fatigue (1900) in voluntary effort by applying the isometric method to the abductor of the index finger. For this purpose he used the apparatus devised by Fick in 1887 (Spannungszeichner), with the addition of certain useful modifications. The subject, working by the beats of a metronome, throws this muscle into maximal tension for one second, and relaxes it for the next second. Each series lasts for twenty-five minutes, and therefore consists of 750 alter- nate contractions and relaxations. The results of these researches may be summed up as follows : The curve of the isometric contractions of the abductor indicis, made with maximal voluntary effort, generally presents three distinct stages : (a) In the first stage the tension which the muscle reaches in the first contractions (which may exceed 14 kgrms.) diminishes rapidly, and drops to about two-thirds (i.e. to 8400 grms.) after about five minutes. (&) In a second much longer period (about fourteen minutes) the tension reached by the muscle is approximately constant. (c) In a third period the tension drops again, but slightly (to about 7700 grms.)to the end of the series, which may exceed twenty- five minutes, without any further evidence of fatigue in the muscle. If these results are compared with those of Treves, it is seen at once that Schenck's first stage corresponds with the descending phase of Treves' ergogram, and the second stage with the constant phase which Treves obtained with the so-called " terminal maximal load," with this difference, that in Schenck's method the maximal energy of innervation is exerted from the beginning to the end, while in Treves' method the energy of innervatiou gradually declines. Accordingly, there is never any sign of fatigue after the constant phase, and the third stage, which is prominent in the isometric method, does not appear. The functional constancy, that is, the comparative non-fatigu- al >ility and inexhaustibility of muscle, contracting rhythmically both with Treves' ergographic and Schenck's isometric method, recalls the continuous rhythmic activity of the heart and respira- tory muscles. This certainly depends on the blood-supply that restores the muscle and nerve-centres as fast as they become fatigued, and carries off the waste-products. In fact, when excised muscles of the frog are used, the so-called fatigue curve passes into complete exhaustion (Fig. 7, p. 12). i GENERAL PHYSIOLOGY OF MUSCLE 59 This exhaustion depends on the absence of a proper supply of oxygen and nutrient material to repair the waste of substance in the active muscle and nerve-centres, and to the accumulation of metabolites which paralyse the tissue owing to the arrest of the blood and lymph circulation. Ranke, in fact, showed that, on merely circulating a saline solution that contained no nutrient restorative matters through fatigued frog-muscle, the signs of fatigue disappeared. If, on the other hand, an aqueous extract of the fatigued muscle of one frog were circulated through the fresh muscle of another, fatigue phenomena at once set in. Mosso continued these researches on warm-blooded animals, and showed that transfusion of the blood of a fatigued into the vessels of a normal dog induced symptoms of respiratory, cardiac, and general fatigue in the latter. Clearly, therefore, the waste products of muscular activity act as toxic substances, and cause muscular fatigue and exhaustion. The inexhaustibility of the flexor muscles of the middle finger or the abductors of the index linger, under the experimental conditions adopted by Treves, Schenck, and others, is not sur- prising, and seems indirectly to confirm Eanke's theory of the causes of muscular fatigue and exhaustion. X. Only a small part of the potential energy liberated in muscular contraction is used up in the form of external work ; the other, considerably larger, part is converted into internal work, which is accompanied by the development of heat. It is a common observation that after vigorous effort or repeated contractions of the muscles the temperature of the body rises ; every one knows that muscular activity is the best way of warming oneself in cold weather. In walking and running the rectal temperature may rise some tenths of a degree. In tetanus the fever may reach a high degree (45 '3 C., according to Wunder- lich). The same is seen in strychnine poisoning (44 C., Vulpian). On the other hand it has long been known that in a state of absolute muscular rest, as in sleep, the internal temperature falls about half a degree centigrade, and rises again rapidly on waking. The mere immobilisation of an animal, or its curarisation, cools it to 30 - 7 C. (Ricliet), and a subsequent injection of strychnine is no longer able to evoke spasms or to raise the temperature, which must therefore depend on the tetanising action of the strychnine. Since the muscles represent about 40 per cent of the total body weight in vertebrates, and after removal of the skeleton (which can only develop a negligible amount of heat) certainly represent more than 50 per cent, and since katabolism is more active in muscle than in any other tissue, we are justified in assuming that the muscles have a preponderating influence on the heat pro- duction of the body, in comparison with that of all other tissues. We shall elsewhere discuss thermogenesis and the thermal 60 PHYSIOLOGY CHAP. balance of the organism as a whole ; here we must confine our- selves to the study of muscle as a thermogenic organ by the direct examination of its temperature both during contraction and in the resting state. The first observations were made in 1835 by Becquerel and Brechet. They attached one couple of a thermo-electric battery to the biceps muscle of a human arm, while the second couple was kept at constant temperature. After a few contractions the temperature of the muscle was raised 05, and after five minutes of energetic alternate contraction and relaxation (working a saw) 1 C. Gierse (1842) was the first who noted in the dog, with the v_ Fio. 38. D'Arsonval's thermo-electric couples with sheathed junctions, to avoid the electrical currents liable to be set up by the contact of two different metals with fluid. 1, Section of finely-pointed conical tube of German silver, into which an iron wire has been soldered ; 2, section of cylindrical tube of German silver, closed and pointed at one end at the junction with an iron wire, and protected above this by a non-conducting sheath ; 3 and 4, a pair of thermo-electric needles composed of two wires, iron and German silver, soldered together at the points, and covered with an insulating varnish. thermometer, that the cutaneous temperature of a limb rose during the contraction of its muscles. Zienissen (1857) and Bee-lard (1860-61) observed the same on man. The objection that the rise of temperature depends on increased flow of blood to the skin may be met by saying that the skin becomes warmer, but not redder, during the contraction of the subjacent muscles. Another objection, that the heating may depend on the hyperaernia of the muscle during its contraction, is less easily met. The ordinary thermometric or thermo-electric methods are used in investigat- ing muscular thermogenesis. If the bulb of a highly sensitive thermometer covered with a thick layer of non-conducting material (cotton-wool) to prevent the dispersion of heat is applied to the human skin above the muscle to be examined ; or better, if the bulb of the thermometer is inserted between the muscles of the animal, it is possible to measure the alterations of temperature. i GENERAL PHYSIOLOGY OF MUSCLE 61 Baudin has recently carried tlie construction of mercury thermometers with small bull >s for physiological purposes to such perfection that he has obtained a scale in which each degree is divided into fifty parts. But even with an ordinary clinical thermometer, divided into tenths of a degree, it is possible on reading the scale under the microscope to estimate differences of a hundredth of a degree. The thermo-electric method has, as compared with the thermometric method, the great advantage of almost instantaneously indicating rapid alterations in the temperature of the muscle. On the other hand it is more difficult and delicate of application, and may lead to fallacies if not employed very cautiously. The thermo-electric method is founded on the following principle : If two different metals united by two junctions are included in the circuit of a low resistance galvanometer, the heating or cooling of one of the junctions gives rise to an electric current, which deflects the needle of the galvanometer in the positive or negative direction, in proportion with the rise or fall of temperature in the first junction, if that of the second remains unchanged. To investigate muscular therniogenesis it is best to take needle-shaped thermo-electric couples (Fig. 38), which are plunged into two symmetrical muscles of the frog, one of which is at rest, the other contracting (Helmholtz). (HUM mmn^nmx^f "^""^'^^^tHasnr: FIG. 39. Photograph of positive and negative variations of temperature obtained with two thermo-electric needles pushed into the two gastrocnemius muscles of a frog, and connected with a low resistance galvanometer ; the sciatic nerve was excited alternately on either side. (A. D. Waller.) The excursions of the galvanometer mirror are photographed by a beam of light reflected on to the sensitive surface of a moving drum. Each tetanising excitation of the sc-iatics, respectively, lasted one minute as indicated by the break of the abscissa line. During tetanus the curve falls or rises, according as the right or left sciatic was excited. To measure the rise of temperature developed in a simple twitch a Melloni's thermopile is used, which consists of several elements, the two muscles of the frog being placed in contact with the two surfaces at which are the junctions of the elements of the pile (Heidenhain). If a mirror is attached to the magnet of the galvanometer, its deflections can be photographed by the reflection of a ray of light upon a sensitive surface (Waller, Fig. 39). The first experiments that proved incontestably that muscle is concerned in the production of heat as well as motion were performed on cold-blooded animals by Helmholtz (1847). By employing the thermo-electric method he saw that the muscles of the frog's thigh developed heat during indirect or direct tetanisa- tion (0-14-0-18 C.). In later experiments (1864) Heidenhain measured the rise of temperature (1-5 hundredths of a degree) in the isolated gastro- cnemius of the frog after a simple twitch. There is therefore no doubt that muscular contraction is accompanied by a development of heat, which is due to an increase of exothermal processes within the contractile organ, by which the greater part of the store of accumulated energy is dispersed. 62 PHYSIOLOGY CHAP. Even in rest, however, muscle develops more heat thaii other tissues. An indirect proof of this is obtained from the experi- ments in which Claude Bernard attempted to estimate the oxygen content of the hlood flowing respectively to and from the muscle, in rest and during tetanus. According to Bernard the blood of the artery of the anterior rectus muscle of the dog's leg carries 9'31 c.c. oxygen, the blood that flows from the veins 8'21 c.c. when the muscle is at rest, 3'31 during tetanus. During its activity, therefore, the muscle consumes much more oxygen than during rest ; but even in the resting state it consumes a certain amount, and must therefore develop heat. These results were confirmed in Ludwig's laboratory by Meade Smith (1881), who made numerous direct estimations of tempera- ture, both on the blood of the artery and vein of the muscle, and on the resting or tetanised muscle itself. The general conclusion was that the temperature in the artery is less than in the vein and in the muscle in the resting state, and that the difference increases considerably during tetanus. Beclard was the first who studied heat production in muscle from the point of view of the mechanical theory of heat (1861). He tried first on the frog by the thermo-electric method, and then on his own biceps muscle, to estimate with an air-thermometer, graduated in fiftieths of a degree, the amount of heat developed during static (isometric) contraction, in which the mechanical work is nil, with that produced during dynamic (isotonic) contraction, which is accompanied by mechanical work that can be measured in kilogrammetres. He stated positively that when the muscular contraction results in muscular work, much less heat is evolved in the muscle than when a contraction of the same strength is not accompanied by external mechanical effects. This fact, despite the imperfections of Beclard's method, proves that muscular activity is subject to the great law of the conserva- tion of energy. When the whole of the energy liberated by the muscle is expressed in the form of heat, more heat is evolved than when part of the energy is converted into muscular work. Beclard further demonstrated that the amount of energy trans- formed into mechanical work during the lifting of the weight by the muscle is reconverted into heat when the raising is succeeded by the lowering of the weight, i.e. when the positive is followed by negative work. The experiment consists in comparing the heat developed when a certain weight is held up for a given time by the static contraction of the biceps, with that developed during the same time when the arm loaded with the same weight makes up and down movements. Under these conditions (according to Beclard) the development of heat indicated by the thermometer is equal, whether the arm be kept in equilibrium or executes move- ments. The positive work of raising the weight is therefore GENERAL PHYSIOLOGY OF MUSCLE 03 cancelled by the negative work of lowering it, so that in this case the heat production in static contraction is equal to that in dynamic contraction. But apart from the imperfections of the method Beclard's results were incomplete. He neglected the influence exerted by differences of load on muscular thermogenesis, as well as the degree of stimulation and the state of fatigue of the muscles. In 1864 Heidenhain investigated the question again from a wider point of view and by more exact methods. He employed the isolated muscles of the frog, with different loads, and recorded the height of the contractions, from which he calculated the work, and measured the changes of temperature with a thermo-electric pile. Since we know that with increase of load the mechanical work of the muscle increases within certain limits (Fig. 26, p. 46) it seems natural to suppose that the simultaneous development of heat takes place inversely and diminishes with increment of work, so that the sum of energy liberated by the katabolic processes in the muscle remains constant for the same stimulus, its division into work and heat alone being variable. Heidenhain's researches, however, demonstrated that when the intensity of the stimulus remains constant, the sum of energy developed by the muscle increases up to a certain point with increase of load, i.e. the increase of work is accompanied by increased heat-production. This important conclusion is represented by the following table, which gives Heidenhain's data from one of his experiments on the gastrocuemius of the frog loaded with different weights : Increased warmth Number of test. Weights applied to the muscle. Summated height of three contractions. Mechanical work of the three contractions. of the muscle expressed in degrees of the scale of the thernio- multiplier. 1 grms. 10 mm. 10-6 gr. mm. 106 8-5 2 30 10-4 312 11-5 3 90 8-5 761 18-0 4 60 9-6 573 11-5 5 30 10-6 318 9-5 6 10 10-8 108 7-0 During three successive contractions the muscle was loaded with the weight during both contraction and relaxation ; thus the mechanical work given out by the muscle during contraction was restored to it in the form of heat during relaxation. The rise of temperature shown in the table therefore expresses the total sum of the energy developed by the muscle during the three successive contractions. This is not a constant but varies with the external mechanical work : it increases with the increment of this work 64 PHYSIOLOGY CHAP. and declines with its decrement. The facts collected by Heiden- haiu, however, show that the rise and fall of temperature in the muscle are not strictly proportionate to the increase and diminution of the mechanical work which it performs ; generally speaking, the thermal increase is much less than the increase of work. This proves that the muscle works more economically when it lifts a moderate weight than when it lifts a lighter one. The property which the muscle possesses of adjusting the quantity of energy which it develops under a constant stimulus to the greater or less resistance which it has to overcome, is very important. If the strength of its reaction depended only on the strength of the stimulus, and was independent of the load, then the development of muscular energy the nerve impulses remain- ing uniform would not be in proportion with the external work that had to be performed. Heidenhaiu's discovery that the total sum of energy developed by the muscle depends on the degree of tension due to the resistance it encounters in contracting, shows that it possesses a mechanism in itself which is capable inde- pendently of the nervous impulses of partially regulating its intrinsic metabolism according to the needs of the moment. Again, when the load remains constant, and the strength of stimulation is progressively increased, the development of heat increases within certain limits with the height of the con- tractions and the mechanical work performed, till it reaches a maximum. So that the metabolism and heat production of muscle are regulated not only by tension, but also by the nervous system, owing to the varying intensity of the impulses which it transmits to the muscle. It should, however, according to the results of Heidenhain and Nawalichin, be observed that, just as we have seen with constant stimulus and increasing load, so too with a constant load and a progressively increased stimulus, the increase in heat and work development are not parallel, but the maximum production of heat is always reached before the maximum of work, i.e. the heat pro- duction increases more rapidly than the height of the contractions. This proves that the muscle works more economically whenever it is more strongly excited from the nerve, and forced to do more work. But when the same amount of work is performed by a muscle, on the one hand by many small contractions, on the other by fewer but larger contractions, less heat, according to Heidenhain, is developed in the first case than in the second. This agrees with the common observation that it is more fatiguing to ascend a rapid incline with long steps, than a less steep slope of the same height, with shorter steps. Heidenhaiu brought out another interesting fact which is not easy to explain. When the same amount of work is performed by i GENERAL PHYSIOLOGY OF MUSCLE 65 a fresh muscle and a fatigued muscle, the former develops more heat than the latter, as if the chemical activity necessary for developing the same amount of useful external work were greater in the fresh muscle and less in the fatigued. In a series of successive contractions of equal height, carried out by a muscle loaded with the same weight, so that each contraction performs the same amount of work, the development of heat diminishes between the first and the last of the series. This shows that fatigue can be detected in the diminished heat-production before it becomes evident in the lessened height of contraction. Accord- ingly, as it becomes fatigued, the muscle functions more economi- cally i.e. a less amount of energy is transformed into heat. When the impulses that reach the muscle follow so rapidly as to give rise to tetanic fusion of the contractions, the production of heat increases progressively up to a certain maximum, in propor- tion to the increasing height to which the weight is raised. The heat developed in tetanus increases with increment of the load and corresponding tension of tjhe muscle. When the weight is so great as to inhibit contraction altogether, more heat is developed than when the load is less and the muscle can shorten a little. During the development of tension the heat production is greater than when the tetanic rise is complete. During a brief tetanus the same amount of heat is liberated at each instant. But during the contraction, and possibly during the relaxation, that precede and follow tetanus, a much larger quantity of heat is developed. Heidenhain's work on muscular thermogeuesis was extended and completed by Fick and his pupils. Fick in his first experi- ments (1884) resumed the study of the question already investigated by Beelard. Heidenhain's discovery that the sum of the energy (work and heat) developed by the muscle is proportional to its tension during its activity, does not contradict Beclard's view, as Hermann also pointed out, that with constant tension the sum of energy developed by the muscle (work and heat) is in direct ratio with the intensity and duration of its activity, so that, caeteris paribiis, the energy liberated in the form of work is inversely proportional to that liberated in the form of heat conformably with the law of conservation of energy. In order to prove this theory experimentally, Fick employed Heidenhain's method on the excised muscles of the frog. To compare the thermal production in useful work with that of con- traction by which no external work was performed, he invented an ingenious apparatus which he termed " Arbeitssammler." This is a small windlass which the muscle turns on contracting 'against the constant resistance of a weight, which can be prevented from dropping again during relaxation by putting a brake on the wheel (Fig. 40). When this is applied the muscle is unloaded, i.e. freed VOL. in F 66 PHYSIOLOGY CHAr. from the weight, when it begins to relax, and the work done in contraction is utilised ; when the break is removed, the work done is cancelled and converted into heat when the muscle relaxes. Tick's results confirmed Beclard's hypothesis. In a series of contractions produced by stimuli of uniform strength, while the muscle is performing useful work, less heat is evolved than in a Fir.. 40. Kick's Arbeitssammler, by which the muscle is loader! with a weight during contraction, and unloaded during relaxation. While contracting, the muscle (frog's gastrocnemius) lifts the lever r rj, which in itself offers little resistance, as it is almost balanced by the small counterpoise /. But owing to the support /(, which presses on the edge of the graduated disc m M (which revolves round the same axis as the lever), the disc turns as the lever rises, along with the concentric pulley that carries the thread to which the weight is attached. The muscle is thus loaded during contraction, and lifts the. weight to a height that can be exactly measured by the degree of rotation of the disc shown on the scale ./'. In relaxing, the muscle is freed from its load, because the disc and pulley cannot drop back owing to the stop /ij. The weight remains up, and the lever sinks to its original position owing to the slight pre- ponderance of arm r over arm )-j. At each succeeding contraction the weight is lifted higher, so that from the total rotation of the disc it is easy to calculate the total sum of work per- formed by the muscle in a given number of contractions. When the stop /ij is removed from the edge of the disc, the apparatus can be used as a simple isotonic lever. At each contraction the muscle rotates the disc and lifts the weight ; but at each successive relaxation the work done is cancelled, because the disc retracts with the lever owing to the pull of the weight. second series of uniform contractions, produced by stimuli of the same strength, in which the muscle performs no useful work. The later work of Danilewsky, Blix, and Chauveau leads to the same conclusion. On comparing the heat developed by a series of maximal muscular contractions in a given time without useful work, with that developed by the same muscle in the same time with maximal i GENERAL PHYSIOLOGY OF MUSCLE 67 stimuli so frequent as to produce complete tetanus, Fick observed that in the first case there was a much greater development of heat than in the second. From this he concluded: (a) That the amount of heat developed at each contraction during tetanus is in inverse ratio to the frequency of the stimuli. (b) That in a series of single contractions due to momentary stimuli, the theriiiogenetic effect of each twitch far exceeds that of each contraction of a series of such frequency as to result in tetanus. Fick tried to express the amount of heat liberated during muscular activity in absolute values. He found that the maximum heat which a gram of muscle may develop during a simple con- traction may reach the value of 3'1 microcalories, a microcalorie being the amount of heat required to raise the temperature of 1 mgrm. of water 1 C. With his pupils he determined the relative rates at which the development of heat and of work increased, by a series of tests on frog muscle excited with maximal stimuli, and loaded with regularly increasing weights. The general result as a rule was that the greater part of the potential chemical energy liberated by the muscle during its activity appeared in the form of heat. But with increase of load the ratio between heat and work alters regularly, as an increasingly larger part of the potential chemical energy is set free in the form of work, and a comparatively smaller part as heat. This proves that the muscle in doing more work functions more economically than in doing little work. Zuntz, Lehmann, and Hagemann (1889) tried to ascertain what proportion of the total energy developed in the muscles of warm- blooded animals is utilised in the form of mechanical work. This question has only been solved approximately by calculating the total chemical energy developed by the estimation of the reciprocal gas-exchanges which take place in any given work of the muscles. It was shown by experiments on horses that about J of the energy is transformed into work, and f into heat. If we con- sider that in the best steam-engines man is able to construct only jL or T V part of the energy liberated can be utilised in mechanical work, all the rest being lost in the form of heat, we see that the muscle is a living machine which functions more economically than any steam-engine. On the other hand, an electric motor fed from a battery is capable of utilising y 9 ^ of the energy developed by the oxidisation of the zinc of the cell in external mechanical work, so that it is a more perfect machine than the muscle. We must not, however, forget that in homoio- thermic animals the development of heat must not be regarded as a loss, since it is as useful to the organism as mechanical work. A muscle is not merely an apparatus for the production of external work, but it also serves to heat the body of warm-blooded 68 PHYSIOLOGY CHAP. animals, and raise their temperature to a given height, inde- pendently of the variations of external temperature. From this physiological standpoint it may be held that the muscle utilises all the energy which it develops, either in the form of work or of heat. XL A portion of the potential chemical energy liberated during the activity of the muscle appears not as heat, but as electricity. A discovery of great importance in physics galvanism, and in physiology animal electricity, originated in Galvani's observations that muscles of a recently killed frog were thrown into convulsions on closing the circuit between the muscles and the nerves by means of two metals. From this Galvaiii concluded that the muscles of the frog were normally charged like a Leyden jar, with positive electricity inside and negative electricity outside each muscle. Hence he assumed that on making connection between the inside and outside of a muscle, a current was produced which gave rise to the con- traction. Volta at once recognised that this interpretation was erroneous, because the circuit FIG. 41. Galvani's second experiment, without j- t i metais. comprising two different metals in itself contained a source of electromotive force. The long controversy between Volta, who affirmed the existence of metallic currents, and Galvani, who maintained the contrary and endeavoured to explain everything by muscle currents, is certainly one of the most remarkable incidents in the history of experimental science. The contrary statements of the two protagonists were true ; their negations were false. Volta's theory led to the discovery of the pile ; Galvani's to the first demonstration that living tissues in general, and the muscles in particular, may, under given conditions, be the seat of the development of electrical currents. The observation of Galvani and his nephew Aldini was based on the fact that contraction takes place in the muscles of a recently killed frog, not only when a circuit is made between a muscle and its nerve by a bridge consisting of two metals or even of one metal, but also though in a less degree when the circuit is made without any metal. This experiment, famous in the annals of medicine, consists in laying the nerve-muscle preparation of a frog upon a glass plate (Fig. 41), and bringing the surface of the muscle into contact with the end of the freshly-cut nerve by a glass rod. At the moment of contact the muscle contracts. Eepeated and confirmed by Valli (1794) and Alexander v. Humboldt (1798), this experiment underlies the general theory i GENEEAL PHYSIOLOGY OF MUSCLE 69 that living tissues are under special conditions the seat of electromotive forces, which may excite muscular contractions on the closure of non-metallic circuits. Direct proof of this was not available till after the invention of the galvanometer by Nobili (1824), when it became possible not only to demonstrate the existence of the comparatively weak currents present in living tissues, but also to measure them. In 1827 Nobili made use of Schweigger's rnultiplicator to demon- strate the so-called " natural current " of the frog, directed from the foot towards the head. On repeating and varying Nobili's experiment in different ways, Matteucci (1838-40) discovered the phenomenon known later as the "current of rest" in muscle. He amputated the thigh of a skinned frog by a transverse incision, and brought it into the circuit of a galvanometer, by applying one electrode to the cut surface and the other to the outer surface of the thigh muscles. On closing the current the galvanometer needle was Fin. 42. Matteucci's experiment of secondary contraction and tetanus. deflected, showing a current in the muscle from within outwards, i.e. from the cut surface to the natural surface of the muscle, in the galvanometer circuit from the natural to the cut surface. 1 In 1842 Matteucci communicated to the Academic des Sciences in Paris another discovery, which Biedermann reckons among the most important in experimental physiology. When the nerve of a frog's leg is placed on the muscle of the opposite leg, and the nerve of the latter is excited by certain stimuli, a vigorous primary contraction results in the muscles of this excited limb, accom- panied by a less vigorous secondary contraction in the muscles of the other limb (Fig. 42). This observation was the first demonstration of an electrical phenomenon concomitant with the state of muscular activity. Matteucci interpreted it wrongly ; the true explanation was only possible after the law of the current of rest in muscle and its negative variation had been discovered by du Bois-Keymond (1843). 1 To avoid the confusion that frequently arises between the current in the outer (galvanometer) circuit and that flowing within the tissue, it might be well, as suggested by Waller, to replace the ambiguous term " negative " (more correctly " electro-positive ") by the term "zincative," which would serve as a reminder that the current flows from the excited to the unexcited portion of the tissue, as from zinc to copper in a Daniell cell. Translator. 70 PHYSIOLOGY CHAP. Du Bois-Keymond's researches began in 1841, shortly after Fin. 43. Thomson's galvanometer. To the left is the galvanometer, in the centre a .shunt, to the right the scale, illuminated by a beam reflected from a lamp to the galvanometer mirror. those of Matteucci. Jl FIG. 44. Diagram of galvano- meter, n s and s n, pair of magnets with opposite poles, circular mirror fixed to upper magnet ; 1 1, end of wire that surrounds the magnets ; N S, third magnet, which controls the two lower magnets. equilibrium theory "). He devoted many years to the study of animal electricity, and his great merit lies in the introduction of exact methods. His discovery of unpolarisable electrodes, com- bined with the method of compensating by means of a rheochord, enabled him to separate the tissue currents from those of metallic origin, and to measure them, both in the resting state of the muscles and nerves and during their activity. In 1807 Hermann's investigations opened up a new chapter in electro- physiology. He overthrew clu Bois- Reymond's theory, according to which electrical currents are pre - existent in normal living tissues in the resting state (" pre-existence theory"]. By the experi- ments we are about to discuss, which were to a large extent confirmed by subsequent observers (Hering, Engelmaun, Bieder- mann, and others), Hermann proved that muscles and other tissues, so long as they are at rest and intact, give off no currents to the galvanometer. When currents appear they are due solely to the effects of artificial alteration of the tissues, or to the disturbance of chemical which accompanies functional activity (" alteration GENEEAL PHYSIOLOGY OF MUSCLE 71 Owing to (lie high resistance of animal tissues (which is millions of times greater than the resistance of metals) and their low potential, it is necessary in electrophysiological research to employ galvanometers or multipliers with FIG. 45. Various forms of unpolarisable electrodes. D and C, du Bois-Reymond's pattern ; E, Burden-Sanderson's ; B, von Fleischl's ; A, d'Arsouval's. astatic magnets, so as to render the vibrations as have a high internal resistance the instrument can be decreased These galvanometers of ,9,99 1 oTFu many coils and with a-periodic as possible. (5,000-20,000 ohms). The sensitiveness by a shunt, which cuts off -j 9 ^, -fifa, or of the current. The principle on which gal- vanometers are constructed is that a magnet, suspended and surrounded by a conducting wire, is deflected in the direction of a current passing through the wire, in proportion to the strength of the current. Both in Wiedemann's (with detachable and interchangeable spools) and in Thomson's galvanometer (Figs. 43, 44) the deflections of the magnet suspended by a thread of raw silk are more or less magnified by a mirror which reflects a ray of light on to a horizontal scale. These deflections can be photographed on a moving sensitive surface. The ends of the galvanometer wires must not be directly applied to the tissues, on account of their polarisability. Unpolarisable electrodes are indispensable in experimenting with muscle and nerve (du Bois-Eeymond). These usually consist of a little rod or disc of amalgamated zinc dipping into solution of zinc sulphate in a glass tube, the other end of which is closed by a plug of china clay saturated with physiological saline, which is in contact with protects it from the caustic action of the zinc sulphate (Fig. 45). Nowadays, however, all these imperfect electrodes may be replaced by the so-called "normal electrodes" of Ostwald, in which potassium chloride is FIG. 46. Ostwald's normal electrode, adapted to physiological research by Oker Blom. the tissue and PHYSIOLOGY CHAP. substituted for sodium chloride. A suitable adaptation of these to physio- logical purposes is the model of Oker Blom (1900). Two glass tubes are sealed at the bottom in the flame, with a little mercury on the base, by which contact is made with two platinum wires that pass through the sealed ends. Pure calomel is placed on the mercury, and above that physiological salt solution, which is brought into contact with the muscle by a tag of cotton saturated with the solution (Fig. 46). The galvanometer can be replaced by Lippmann's capillary electrometer, which has the advantage of reacting to very rapid oscillations of current, with FN;. 47. Lippmamf s capillary electrometer. A, viewed as a whole (pressure bulb, capillary, and microscope) ; 1', tube (Hg) and capillary (<) which dips into the tube of sulphuric acid (HoSO.|) ; C, mercury in capillary tube under the microscope. no lost time and no periodic vibrations. Moreover, as the resistance in the capillary is enormous and the current passing through it is practically abolished, nnpolarisable electrodes can be dispensed with. As seen in Fig. 47, the instrument consists of a glass tube drawn out in the flame at one end to a capillary 20-30 mm. diameter. This tube is filled with mercury and joined to an apparatus by which the pressure can be regulated. The open end of the capillary dips into 10 per cent sulphuric acid solution. Two platinum wires con- nect the mercury and sulphuric acid, respectively, to the points of the organ under investigation. Under the microscope the excursions of the mercury meniscus which is brought into the field by means of the pressure apparatus can be seen plainly on closure of the circuit. The meniscus advances or recedes towards the end of the capillary according as the potential rises or falls on the side of the mercury tube, and vice versa as regards the reservoir of sulphuric acid. In the capillary electrometer the excursions of the meniscus do not i GENERAL PHYSIOLOGY OF MUSCLE 73 indicate the strength of current, but the electromotive force or
  • /ir and its relaxation to unuli<: chemical processes (Vol. I. p. 332). More recently Fano (1901) extended this theory (see p. 83), which in our opinion applies not merely to the heart, but to all other muscular tissues. No special advance upon Weber's hypothesis has been made by the physiologists who refer the transformation of the potential chemical energy developed in muscle after excitation into mechanical energy, to the direct effect of a special form of chemical alteration. Pfliiger, in his famous memoir, 1 accepts this theory of the origin of muscular energy without enlarging on it. Pick 2 expresses himself more clearly, and states that " the chemical forces of attraction must a 2'iori be more or less pre- disposed in the direction of the mechanical action which is to follow, and participate directly in the same." Chauveau 3 remarks that "muscular contraction is a derivative of chemical work." This theory seems no less artificial than that of Weber. According to Engelmann, moreover, it is irreconcilable with the fact that during contraction an infinitely small portion of the muscle substance is chemically active as compared with the total mass of the muscle which remains passive. He points out that the muscle contains 70-80 per cent water, and that the greater part of the 20-30 per cent of the organic substances and minerals of which it is composed take no chemical part in the process. Of the carbo-hydrate group associated with the protein molecule, which gives rise during excitation to the formation of C0 2 and H.,0, only small proportions are simultaneously affected. On 1 Ueber die pJiysiologische Verbrennung in den lebcndif/en Organismen (1875). 2 Mechanische Arbeit und Wcirmeentwickluny lei der Muskcltatiykeit (1882). 3 Publications on Muscular Work and Energy (1891). i GENEKAL PHYSIOLOGY OF MUSCLE 89 Engelmanu's calculation the source of the energy necessary to produce a contraction amounts to about four uiillionths of the entire mass of the muscle. It is inconceivable to Engelmann that the movement of the relatively enormous mass of inert substance should be effected by the direct chemical attraction of this minimal fraction of active substance, no matter what the natural form or magnitude of the vibrations or the particular arrangement of the few active molecules. He further objects that the hypothesis of direct chemical attraction does not take into account the tibrillary structure of the contractile apparatus, the differentiation of the fibrils into isotropous and anisotropous portions, the opposite variations in volume, form, refrangibility, extensibility, etc., of these parts, and a number of other facts which are in more or less open contradiction to it. Engelmaun holds the thermodynamic theory propounded by J. K. Mayer (1845), according to which the muscle is compared with a steam engine which transforms the heat evolved in com- bustion into mechanical work, to be far more probable. In reply to Solway's criticism that the muscle works more economically than any engine, Engelmann remarks that the muscle is an apparatus whose combustible materials burn in direct contact with the parts that perform the mechanical work, so that it works under far more favourable conditions than Watt's thermodynamic machine. Another, apparently more serious, objection to the theory of the thermal origin of muscular energy put forward by Fick (1882), and repeated by Gad, is that it is irreconcilable with the second of Glausius' fundamental laws of thermodynamics. According to this law, heat can only perform work when it passes from a warmer body (A} to a cooler body (B}, and its potential is proportional to the difference of temperature between A and B. So that before we can assume that muscle works like a thermodynamic machine, we must first prove that there is in it a marked difference between A and B, or between the source of heat and the surrounding medium. Fick held that this is not the case with muscle, which only exhibits slight differences of temperature, proving conclusively that it does not act as a thermodynamic motor. Engelmann replied to this objection that Pflliger had already pointed out in 1875 that body-temperature is only an arithmetic mean which comprises innumerable very different temperatures at innumerable different points of an organ, and that the molecules formed in physiological combustion have, at least at the moment of formation, an extremely high temperature, which they lose at once by giving off heat to the cooler matter that surrounds them. Pfliiger's conclusions in so far as muscle is concerned are con- firmed, according to Engelmann, by the fact that the combustion 90 PHYSIOLOGY CHAP. of a comparatively small number of molecules suffices to produce contraction, which can only be explained on the assumption that at the moment of oxidation they acquire a temperature so high that their minute size and low number are perhaps the only reason why they do not appear b incandescent. The rise of temperature in the total mass of the muscle, even granting that it only amounts to O'OOl C. for one contraction, is when we consider the great specific heat of the muscle sub- stance--i.e. the large quantity of heat necessary to raise its temperature- conceivable only on the supposition that each heat- producing molecule has at its birth an enormous tem- perature in comparison with the immense mass of substance able to conduct and permeable to heat, by which it is surrounded. In this assumption it is implicitly recognised that the muscle presents to a high degree the funda- mental condition for the conversion of heat into mechanical work. This conversion according to Engelmann is effected by the anisotropous substance which forms the positive, doubly refracting elements with one axis parallel to the direction of contraction which he terms inotagmata. He supposes that in mus- cular excitation the inotag- mata, warmed by the heat generated in the thermogenic molecules, swell up and shorten, owing to imbibition of the more fluid isotropous substance that surrounds them. This alternate swelling and shortening of the inotagmata arranged in longitudinal series results in the whole Fio. 62. Engelmann's apparatus for imitating the con- traction and relaxation of muscle on a violin string. A string 5 cm. long soaked in water is fixed by its lower end a to a rigid support b, and connected above by a strong silk thread to the short arm of the lever H, which moves round the axis c. By means of the movable weights d and d' the string can be thrown into the desired tension, and the position of the lever regulated by screw e. The string is surrounded by a thin platinum wire /, which turns spirally round it, and is soldered at the end to thick copper wires con- nected with the poles of two Grove or Bunsen cells. The string, platinum wire, and support are placed in a wide low beaker filled with water, into which a thermometer is introduced. When stretched by at weight of 25-50 grms. the string after a few minutes ceases to expand, and the end of the lever remains steady. If a current is then passed through the spiral for a few seconds, the lever rises at once with great rapidity, and on breaking the circuit it returns almost to its original level, while the thermometer is either stationary or shows a hardly appreciable rise of temperature. i GENERAL PHYSIOLOGY OF MUSCLE 91 muscle in the formation and propagation of the contraction wave, by which a part of the heat is transformed into mechanical work. To strengthen this ingenious hypothesis Engelmann devised an experiment, in which the contraction of the muscle, owing to the swelling and shortening of doubly refracting particles in the long axis in accordance with the therrnodynamic law, is imitated on a violin string. He started from the fact that the property of contracting in heat is not peculiar to muscle, but is inherent in different degrees in all living tissues, and even in other organic substances that contain a doubly refracting substance, e.g. a violin string or specially prepared string of non- vulcanised indiarubber. Engelmann's model is shown in Fig. 62. He proved that under definite experimental conditions a moistened violin string, thrown into tension by a weight, thickens and shortens and does a certain amount of work when heated by a coil of platinum wire traversed by an electrical current, and lengthens again on cooling when the current is interrupted. In this experiment the violin string which contains the doubly refracting substance represents the inotagma or anisotropous element of the muscle ; the vessel filled with water the aqueous, isotropous muscle substance; the platinum coil the thermogenic molecules; the closure of the galvanic current the excitation of the inotagrnata which gives rise to contraction ; the opening of the circuit the cessation of excitation from which relaxation results. Nothing but the transmission of excitation along the series of inotagmata which causes the transmission of the contractile wave is absent in this ingenious model. On recording the contractions and subsequent elongations of the violin string on a revolving drum, Engelmann obtained chordogra/ns which resemble myograms to a surprising degree (Fig. 63). This proves that they depend on a cyclic process as after the warming which leads to shortening, the string lengthens and returns (at least approximately) to its initial state on cooling. It may be objected to Engelmann's theory that it takes no account of the electrical phenomena that occur in the muscle. Before meeting this objection it is well to consider the different hypotheses that have been put forward in favour of an electrical origin of muscular energy. Prevost and Dumas, Meyer and Amici compared the muscle, owing to its striated structure, with a Volta's pile, which also consists of discs. Voit, starting from the negative variation, assumes that the muscle current diminishes in contraction, because a part of the electricity developed in the muscle is transformed into movement. Krause and Kiihne compared the motor end- plates to the electrical organs of Torpedo, and the action of nerve on muscle to the discharge of a Leyden jar. According to du Bois-Reymond, on the contrary, it is the wave of negative 92 PHYSIOLOGY CHAP. variation (i.e. the current of action) which causes the transmission of excitation from the nerve to the muscle, and the spread of the contraction in the latter. According to d'Arsonval the thermal phenomenon and mechanical work of the muscle are the effects of the electrical phenomenon ; the chemical energy is transformed FIG. 63. Chordograms obtained by Engelmann with the apparatus described in preceding figui '<', with the violin string loaded with 50 grins, and a lever that magnified fifty times. /, At a a strong current was passed through the spiral for 2-3 sees. ; at b a weak current for a longer time, a shows a shorter latent period, a sharper and more rapid rise, and a steeper descent than b. II and ///, Uniform strength of current, but the temperature of the water was 35 C. in //, 45 C. in ///. IV, After removing the water the warmth of the spiral was conveyed to the string by the air which was at a temperature of 1S C. At a a stronger current was passed than at b. As the cooling of the string had been accelerated, it expanded more rapidly. ]', The curve falls still more rapidly, owing to accelerated cooling of the string due to a stronger current of air. Time marking = 0'5 sec. into electrical energy, and this again into thermal and mechanical energy. All these hypotheses are too vague and indefinite, and they neglect certain well-established experimental facts. G. E. Miiller of Gottingen (1889) put forward a pyro-electrical theory of the origin of muscular force, which, although partially i GENERAL PHYSIOLOGY OF MUSCLE 93 founded on arbitrary hypotheses, is certainly more definite. He attributes the contraction of the muscle to the electrical attraction and repulsion of the doubly refracting crystalloids, the poles of which undergo a change of electrical state owing to the heat that is generated. On this theory the muscle shortens as its tempera- ture rises ; and when the temperature of the crystalloids becomes constant it lengthens, because the electrical changes subside. Engelmann's experiments show, however, that the length of the muscle does not depend on the rate at which the temperature rises, but on the absolute temperature present at the moment in the doubly refracting discs. They further show that when the temperature in these discs is constant, the muscle does not lengthen, but remains indefinitely shortened. Certain well-authenticated facts prove that there is a direct association between the electrical and mechanical phenomena in muscle. As long ago as 1855 Helmholtz showed by an exact chronometric method that the electrical wave precedes the mechanical in skeletal muscle. The same fact was demonstrated in 1856 by Kiilliker and H. Miiller by the experiment of secondary contraction, and by Bernstein with his differential rheotome. In the nerve-fibres, in which no sign of mechanical phenomena can be detected, and little heat development or chemical activity, electrical phenomena similar to those of the muscle occur, which proves them to be quite independent of the phenomena of con- tractility. Certain important researches of Biederniann (1880) favour the same conclusion, since they prove that frog muscles which have lost their power of contracting by imbibition of water or the effect of ether vapour preserve their electrical excitability and capacity for conducting intact. From this Biederrnanu concludes that the capability of actively changing its form at the seat of direct stimulation is not an indispensable condition of the excitation of muscle. The independence of the electrical phenomena from muscular contractility is also demonstrated by the fact that the majority of electric and pseudo-electric organs develop at the expense of the striated muscle fibres, and that during this development, according to Ewart, contractility is gradually lost, while the electromotive function develops in proportion. According to Baglioni (1906) the chemical composition of the electrical organs differs fundamentally from that of the muscles. On the strength of all these facts Engelmann founded his hypothesis that in muscle the particles on which the development of the electrical phenomena depends are quite distinct from those which supply heat by combustion (thermogenic], and those which subserve mechanical work (inogenic particles'). The first are solely concerned with excitation and its con- duction and propagation, as Hermann also concluded from the 94 PHYSIOLOGY CHAP. fact that the wave of negativity at the point of the muscle stimulated appears hefore and precedes the wave of contraction. These particles probably lie chiefly in the isotropous layers which take no active part in contraction. The thermogenic particles, on the contrary, are in close contiguity with the inogcnic particles, which are represented by the doubly refracting elements of the anisotropous layers, on which the specific function of the muscle, i.e. contraction, depends. According to Engelinann's theory this is due to the conversion of heat into work. Verworn (1895), starting from a hypothesis put forward by Berthold (1886), has formulated another theory of contraction, which includes all the movements of all forms of living matter, from amoeba to muscle. On this theory movement is due to changes in the surface tension of the histological elements of which the muscle fibrils consist (isotropous and anisotropous discs) ; these changes in surface tension are due, according to Verworn, to chemical processes. A similar theory, by which muscular contraction is referred to changes of surface tension, has been put forward by other physio- logists, as d'Arsonval, Imbert, Bernstein, Jensen, and Galeotti. Galeotti holds (1906) that the changes in surface tension of the different muscle elements are due to electrochemical phenomena. None of these theories, however, take into account the whole of the active changes concomitant with muscular activity. BIBLIOGRAPHY Structure of Muscle and its Visible Changes during Activity : ENGELMANN. Pfliiger's Archiv, xi., 1875, xxv., 1881. RANVIER. Lemons d'anatoniie gunerale sur le systeme musculaire. Paris, 1880. ROLLET. Denkschr. der AViener Akademie, xlix. and li., 1885, Iviii. 1891. Mechanical, Thermal, and Electrical Activity of Muscle: HERMANN. Handbuch der Physiologic, i. 1879. CH. RICHET. Physiologic des muscles et des nerfs. Paris, 1882. BIEDERMANN. Elektrophysiologie. Jena, 1895. (English translation by F. A. Welby, 1896.) Ergebnisse d. Physiol., II. Part 2, 1903. A. FICK. Mechan. Arbeit und Warmeentwickelung bei der Muskeltatigkeit. Internat. wiss. Bibliothek, 1882. ROSENTHAL. Allgemeine Physiol. der Muskeln und Nerven. Leipzig, 1899. W. EINTHOVEN. Pfliiger's Archiv, lx., 1905 ; Arch, intern, d. Physiol., iv. 1906. I. BERNSTEIN. Pfliiger's Archiv, Ixxxi., 1901. G. GALEOTTI. Zeitschr. f. allg. Physiol., vi., 1906. HOFMANN. Pfliiger's Arch., xciii., xcv., ciii., 1902-4. BORUTTAU. Pfliiger's Arch., cv., 1904. 0. FRANK. Thermodynamik des Muskels. Ergeb. d. Physiol., III. Part 2, 1904. Chemical Composition and Metabolism of Muscle : HALLIBURTON. Text-book of Chemical Physiology and Pathology, 1891. NEUMEISTER. Lehrbuch der physiologischen Chemie, 1895. H. WINTERSTEIN. Pfliiger's Archiv, cxx., 1907. v. FURTH. Ergeb. d. Physiol., I. Part 1, 1902 ; II. Part 1, 1903. i GENEKAL PHYSIOLOGY OF MUSCLE 95 Ergograph work : A. Mosso. Arch. ital. de biologic, xiii., 1890. A. MAGGIORA. Ibidem. P. W. LOMBARD. Ibidem. PATUIZI. Archives ital. de biologic, 1892, 1893, 1901. Z. TREVES. Ibidem, xxix., xxx., xxxi., 1898-1900. F. SCHENCK. Pfliiger's Archiv, Ixxxii., 1900. General Theory of the Genesis of Muscular Force, in addition to the treatise by Hermann, see : TH. W. ENGELMANN. Snr 1'origine de la force mnsculaire. Archives neerlandaises, xxvii., 1893. VERWORN. Allg. Physiologie, 4th Ed. Jena, 1903. JENSEN. Pfliiger's Arch., Ixxx. , 1900. BERNSTEIN. Pfliiger's Arch., Ixxxi., 1901 ; cv., 1905. Die Krafte der Bevvegung in der lebenden Substanz. Brunswick, 1902. GALEOTTI. Zeitschr. f. allg. Physiol., vi. , 1906. Recent English Literature : MAoDoNALD. The Structure and Function of Striated Muscle. Quart. Journ. of Experiment. Physiol., 1909, ii. 5. LANGLEY. On the Contraction of Muscle, chiefly in relation to the Presence of "Receptive" Substances. Journ. of Physiol., 1907, xxxvi., 347; 1908, xxxvii. 165 and 285 ; 1909, xxxix. 235. KEITH LUCAS. On the Refractory Period of Muscle and Nerve. Journ. of Physiol., 1909, xxxix. 331. KEITH LUCAS. All-or-None Contraction of the Amphibian Skeletal Muscle Fibre. Journ. of Physiol., 1908, xxxviii. 113. KEITH LUCAS. On the Relation between the Electric Disturbance in Muscle and the Propagation of the Excited State. Journ. of Physiol., 1909, xxxix. 207. A. V. HILL. The Absolute Mechanical Efficiency of the Contraction of an Isolated Muscle. Journ. of Physiol., 1913, xlvi. 435. BANCROFT.. The Electrical Stimulation of Muscle as dependent upon the Relative Concentration of the Calcium Ions. Journ. of Physiol., 1909, xxxix. 1. LILLIE. The Relation of Ions to Contractile Processes. Amer. Journ. of Physiol., 1909, xxiv. 459. KEITH LUCAS. Summation of Adequate Stimuli in Muscle and Nerve. Journ. of Physiol., 1910, xxxix. 461. MINES. Summation of Contractions. Journ. of Physiol., 1913, xlvi. 1. KEITH LUCAS. On the Transference of the Propagated Disturbance from Nerve to Muscle, with special reference to the apparent Inhibition described by Wedensky. Journ. of Physiol., 1911, xliii. 46. MAcDouoALL. Mental and Muscular Fatigue. Reports, 80th Meeting, British Assoc., 1911, 292. BURRIDGE. An Inquiry into some Chemical Factors of Fatigue. Journ. of Physiol., 1910, xli. 285. KEITH LUCAS. On the Recovery of Muscle and Nerve after the Passage of a Propagated Disturbance. Journ. of Physiol., 1910, xli. 368. A. V. HILL. The Energy degraded in the Recovery Processes of Stimulated Muscle. Journ. of Physiol., 1913, xlvi. 28. HILL. The Heat produced in Contraction and Muscular Tone. Journ. of Physio!., 1910, xl. 389. MEIGS. Heat Coagulation of Smooth Muscle. Amer. Journ. of Physiol,, 1909, xxiv. 1. CHAPTER II MECHANICS OF LOCOMOTOR APPARATUS CONTENTS. 1. General remarks on the structure of the bones and their articulations. 2. Form, attachments, and mechanics of muscles in relation to bones. 3. Line and centre of gravity of the body in different postures. 4. Mechanics of equilibration in different postures. 5. Movements of the body in walking. 6. Movements of the body in running. 7. Movements of the body in swimming. Bibliography. THE muscles are the active organs the bones, cartilages, ligaments, etc., which build up the skeleton to which the muscles are attached represent the passive organs of a highly complex system to which Marey correctly applied the term animal machine. In industrial machines also it is usual to distinguish between the active parts which are the seat of the production or development of the energy destined to be transformed into useful work, and the passive parts which transmit it, and which consist as in the animal machine of levers, pulleys, inclined planes, pumps, etc. Our principal task in this chapter will be to study the complex motor apparatus, consisting of an elaborate system of skeletal muscles, on the co-ordinated action of which depend the loco- motor movements, i.e. the different forms of displacement of the body as a whole. These are distinguished from the partial move- ments or displacements of the limbs, by which the relations of the different mobile parts of the body are altered. In the former the base of the body is displaced ; in the latter it may remain immobile. In the study of these motor functions the physiologist's task is to a large extent linked with that of the anatomist. It is, in fact, impossible to form a clear conception of the mechanism of a move- ment carried out by the active participation of many different muscles without first knowing the points of attachment of each muscle as well as the form and articulation of the bones, which act passively as the levers. But while the anatomist is occupied more particularly with the mechanical action of each muscular unit, the physiologist supplements this by the synthetic study of the co- ordination of the various muscular forces which combine in the accomplishment of each separate motor act. 96 CHAP, ii MECHANICS OF LOCOMOTOR APPARATUS 97 I. Historical investigation into the action of the muscles on the skeleton, aiid the mechanism of posture and locomotion, com- menced with Borelli's classic De motu animalium, published in 1680. The writings of Barthez (1798) and of Gerdy (1832) con- tain no real advance on the work of Borelli. Poisson (1833) first attempted to calculate the work which a man performs in walking. Eeal progress in this direction was made in the classical publication of W. and E. Weber, Die Mechanik der menschlichen Gehwerkzeuge, which appeared in 1836. The second half of the nineteenth century brought many anatomical studies on the form of the articular surfaces, and the significance of the ligaments, the articular capsules, fascia, etc., more especially from Henke, Langer, and H. Meyer. Among standard works Duchenne's Pliysiologie des mouvements deserves mention, owing to the positive character of the research and the accuracy of the descriptions, although it does not compare in originality with the epoch-making researches of Borelli and the Webers. After the application of the graphic methods, more particularly by Marey and Carlet (1872), the study of locomotion was carried to greater perfection. Still greater advances were made after instantaneous photography had been applied to the study of the successive phases of movement in man and other animals, first by Muybridge, subsequently by Marey (1882) and his successors with more perfect kinernatographic methods. As a preliminary we require a general notion of the structure of the bones, the passive organs, and the action of the muscles, which are the active organs of movement. Taken as a whole, the bones may be regarded as rigid organs in comparison with the forces which act on them during the movements of the body. The ribs are an exception to this rule, since (Vol. I. p. 407) they undergo a slight degree of flexion and torsion round their long axis during thoracic inspiration. To the student of animal mechanics the histological structure of the bones, which is more particularly of morphological interest, appeals less than their architecture, which is such as to combine the greatest amount of rigidity with the greatest possible lightness, as first pointed out by H. Meyer in 1867. All the long bones are hollow, which does not lessen their rigidity, since a hollow cylinder presents the same resistance to pressure and traction as a solid cylinder of the same 'diameter and identical material. The marrow which fills the bony cavity contributes to the comparatively light weight of bone, since it is rich in fat. The trabeculae which constitute the spongy part of the extremities of the long bones are so arranged as to support the surfaces destined to bear the greatest pressure. The application of this mechanical principle is to be found in all bones, but it is specially obvious in the femurs. VOL. in H 98 PHYSIOLOGY CHAP. The head of the femur is united obliquely by its neck to the shaft of the bone, at an angle which usually diminishes during the period of growth under the influence of the weight of the body, and varies in the adult from 110 to 140. In the shaft of the femur, which is by far the larger portion, the compact bone forms a tube with thick, solid walls, filled with marrow which is largely fat. Fin. M. Section through the end of a femur. (Zaaijnr.) But at the upper end of the femur, including the head, neck, and trochanters, in consequence of the obliquity of the head to the longitudinal axis of the bone the conditions for obtaining the necessary strength become extremely complex, since the compact substance of the tube extends (Fig. 64) into a system of lamellae arranged fanlike so as to support the surfaces destined to bear the greatest pressure. It should be noted that when from pathological conditions, for ii MECHANICS OF LOCOMOTOE APPARATUS 99 instance, articular anchylosis, and after amputations or resections, the mechanical requirements to which the bones naturally conform are changed, the systems of lamellae of the spongy substance alter considerably. The enlargements usually presented at the ends of the long bones, the ridges, tuberosities, and spines are for the purpose of giving the muscles large and adequate surfaces of attachment. The bones of which the skeleton is made up are united rigidly together, or in such a manner as to permit a more or less extensive displacement and movement on each other. The bones united by sutures (sytiarthroses), as those which compose the cranium, are perfectly immobile ; those united by means of cartilages (synchon- droses) are semi-mobile, or admit of very limited movements. Such are the syrnphyses of the pubis and innominate bone and the synchondroses of the ribs and vertebrae. Finally, the bones united by articular capsules are semi- mobile (ampliiartlirose}, mobile (artlirose), or very mobile (diarthrose*), according to the form of the articulation. The articulations of the carpal and tarsal bones belong to the first category ; the elbow, knee, and ankle to the second ; the shoulder and hip-joints to the last. In all these true articulations the heads of the bone are covered with a layer of cartilage, to the edges of which the fibrous articular capsule, which connects the two bones and surrounds the articular cavity, is attached. Each capsule is covered internally by a pave- ment epithelium which extends over the joint cartilage, and secretes the synovia, a colourless, transparent, viscous fluid, formed by the mucous metamorphosis of the epithelium, which is destined to lubricate the articular surfaces and enable them to move easily one upon the other. Externally, fibro-elastic ligaments strengthen the capsule, and prevent or limit to a greater or less extent the movements of the articular heads. From the physiological point of view, articulations can be subdivided into the classes proposed by A. Fick. The first comprises the synchondroses (ribs and vertebrae) and the arnphiarthroses (joints between the tarsus and carpus). In these articulations the bony surfaces never change their relations, and can only be fixed or moved to a limited extent by the elasticity of the interpolated fibro-cartilages, or pericapsular liga- ments. The bones thus united are in stable equilibrium, to which they return immediately when any external cause which has displaced them from their normal position ceases to act. The arthroses and diarthroses form the second class, as the articular surfaces change their relations while moving. The bones thus articulated are in unstable equilibrium, that is, they remain in whatever position they are placed by external causes, until this is removed by some force working in the opposite direction. A 100 PHYSIOLOGY CHAP. comparatively slight force is consequently able to produce move- ments of the bones. In articulations of the second class (arthroses and diarthroses), which more especially concern us, the bones have articular heads which are approximately cylindrical or spherical in shape. The former constitute the hinge joints which move in a single axis ; one of the articular surfaces is concave, the other convex. Both are shaped like a section of a cylinder, or more exactly like a cone, an ovoid, or an ellipse. The articulations of the elbow, knee, and ankle belong to this class. In the second class of articula- tions with round heads, the bones can rotate round a single axis, as in the humero-radial and the atlanto-epistropheal joints, or round many axes, as in the ball-and-socket joints, represented by the scapulo-humeral and the hip-joints. From these articulations with one or many axes, we must distinguish the articulations with two axes at right angles to one another, represented by the saddle joints and the con- dyloid joints. The articular saddle surfaces are convex in one direction and concave in the plane vertical to it. Such is the joint between the metacarpal bone of the thumb and the trapezium bone of the carpus, which permits not only of flexion and extension, but also of adduction and abduction in two almost perpendicular axes. The joint between the radius and the bones of the carpus, which permits the flexion and extension of the hand, and its abduction and adduction in two axes vertical to each other, is also a condyloid bi-axial articulation. In most articulations the surfaces of the bones are not in complete apposition. There is only a small area of contact between the head of the femur and the hollow of the acetabulum, because, as Konig showed, their surfaces are not geometrically complementary. The gap between the articular surfaces where there is no direct contact is filled either by the synovia or by introflexion of the capsular membrane due to external pressure. These capsular introflexions always have excrescences known as synovial villosities, which are rich in vessels and lined with epithelium, to which the formation of synovia is mainly due. There are consequently no true articular cavities. However small the area of contact of the articular heads, it was formerly supposed that it was invariably present, but Konig found an exception in the scapulo-humeral articulation. On dissecting frozen subjects he discovered that there was always a layer of congealed synovia between the two articular surfaces. An important but difficult question is, what forces intervene to resist displacements of the articular surfaces ? E. Weber attributed this to atmospheric pressure only. He saw that if all the muscles surrounding the hip-joint in a suspended corpse ii MECHANICS OF LOCOMOTOR APPARATUS 101 were divided, and the capsular membrane and accessory ligaments of the articulation were then cut oft* the head of the femur remained in the acetabulum, and was not apparently displaced. In this case the entire weight of the lower limb is effectively supported by atmospheric pressure, which is equivalent to admitting that a column of air the height of the atmosphere and section equal to that of the acetabular cavity, would be heavier than the lower limb, which weighs about 22 kgrms. Weber tried a control ex- periment. On the same subject he made a small opening from the internal surface of the pelvis to the acetabulum, and allowed the air to enter into the joint ; the head of the femur no longer remained in the cavity, and the limb fell directly the air was admitted, because the contact of the articular surfaces at the point of perforation was not so intimate as at the edges of the acetabulum, where there is a cartilaginous ring which exactly fits the head of the femur, and consequently the air rapidly penetrated between the surfaces. It is, however, known that the results of these experiments are not applicable to other articulations : if the fingers are stretched by a traction of not more than 500 grrns., the articular surfaces of the rnetacarpal-phalaugeal joints come apart. The separation produces a characteristic sound, and the articular capsule and surrounding tissue are intraflected to fill the space left by the displacement of the surfaces of contact. Besides the atmospheric pressure, the contact of the articular surfaces is aided by the ligaments which are attached chiefly to the capsule. This is apparent in the amphiarthrosis of the carpus and tarsus, which, owing to the shortness, strength, and tension of the accessory ligaments which strengthen the capsules as well as to the complex and irregular form of the articular surfaces, are movable only to a very limited extent. In the arthroses and diarthroses, on the contrary, which are more freely movable, the capsules and ligaments serve, not to keep the articular heads in contact, but rather to limit the movements. In fact they are not tense when the muscles are at rest, but are thrown into tension when the moving limb reaches a certain extreme position. In order to understand the mechanism of the articulations in general, it is also necessary to take into consideration the tone and state of contraction of the muscles which surround the joints. Even in the resting state the muscles are never so relaxed in the normal individual, as not to contribute to the support of the joints. The articular contact is opposed by the weight of the limb, as well as by the pressure at which the synovial juice is secreted, which cannot be less than that at which the blood circulates in the capillaries of the synovial tissue. And there must always be equilibrium between these antagonistic forces. It is not possible to calculate exactly to what extent atmospheric pressure helps to 102 PHYSIOLOGY CHAP. support a joint and keep its articular surfaces in contact, although it is undeniable that this pressure is a considerable factor. Owing to their conformation the joints and the soft parts which surround them (muscles, capsules, ligaments) not only serve to connect the segments of the limbs, but also limit their movements. Thus the olecranon of the ulna during the extension of the forearm comes in contact with the dorsal surface of the humerus, and prevents further extension. The same function is exerted by the so - called ligaments of arrest ; the lateral ligaments of the knee-joint, which run from the internal and external condyles of the femur to the internal condyle of the tibia and the head of the fibula, are stretched during the extension of the leg, and limit this movement to 180. II. The discussion on the physiology of muscle in Chapter I. refers particularly to bundles of parallel fibres of uniform length, in which the total action represents the sum of the actions of each fibre. But muscles with parallel fibres like the sartorius and the frog's hypoglossus are rare ; the structure of the muscle is usually less simple. In addition to long muscles and short muscles, cylindrical, and spindle-shaped, and flat muscles, anatomists distinguish fan-shaped muscles, semipennate muscles, and pennate muscles, according to the direction of the fibres, the form of the tendons, and the manner in which the muscle bundles are inserted. In fan-shaped muscles the different parts may act separately or all together. The deltoid is a classical example. This muscle raises the arm forward, backward, or from the side, according as only the front or back portion or the whole acts. In the latter case the movement (as occurs when several forces act simultaneously in different directions) follows the diagonal given by the parallelogram of the forces, which causes the arm to be raised in the lateral plane. Semipennate and pennate muscles are more common. In these a tendon penetrates deep into the belly of the muscle, and the muscular fibres run out from it obliquely in one or more directions. In such muscles the line of junction of the points of attachment does not coincide with the direction of the fibres, and when the whole muscle contracts, the effect is the sum of the values, calculated for each fibre separately. The gastrocnemius, the biceps, and brachialis anticus, and the flexors for the arm, are examples of pinnate muscles. Generally speaking, in muscles with parallel fibres, the diameter and cross -section is proportional to their strength, while their length is proportional to the range of the movements they can produce. But in pennate muscles the strength and range of the movements cannot be deduced from their section and apparent length : there are short muscles which appear to be ii MECHANICS OF LOCOMOTOE APPARATUS 103 long, thick muscles which appear thin. The energy these are capable of developing is measured, not by the area of the section vertical to their long axis (anatomical section), but by the area of a section vertical to the direction of the bundles of fibres (physiological section) ; and the range of their action is measured, not by their anatomical length, but by their physiological length, i.e. the mean length of the muscle bundles of which they consist. All muscles are not inserted into the bones. The fibres of the visceral organs as the heart, bladder, intestines, uterus, as well as the circular fibres of the oral, pyloric, and anal sphincters are only inserted into one another or into the surrounding soft parts. Other muscles are attached to the bone by one end, and terminate at the other in soft parts, either on the skin or in the raucous membrane. Such are the azygos uvulae, the levator palati, the muscles of the face, the stylo -glossus, the stylo- pharyngeus, etc. The muscles of the face exert a mutual traction, making equilibrium with the symmetrical muscles of the other side ; when the muscles on one side of the face are paralysed, the mouth consequently becomes oblique. All the other skeletal muscles are composed of straight fibres, the two ends of which are generally inserted into tendons of greater or less length, by which they are attached to two distinct bones of the skeleton. The majority of the muscles cross only one joint, that is, they are attached by their two ends to two contiguous bones, and are therefore uni- articular muscles. Certain muscles, however, cross two or more articulations, and are attached to more or less distant bones : these are bi- or multi- articular muscles. The anterior brachial muscle is uni-articular, the semi-tendinous is bi-articular, as well as the long head of the biceps and certain muscles of the leg. In these cases the muscles and tendons are unusually long, and as they can shorten con- siderably are able to move two or more articulations simultaneously. When two bones are connected by a movable articulation, and a muscle passes from one to the other, this forms a lever. The skeleton is built up of a vast number of levers, the movements of which combine among themselves in the most various and complex forms. The centre of gravity of each limb represents the point of application of the resistance, that is the weight of the bony lever, of the soft parts by which this is covered, and of any extrinsic load which may be carried by the limb. The point of insertion of a muscle or muscles upon the movable segment represents the point of application of the force. Finally, the fulcrum of the lever is represented by the articular surface of the moving bone upon the articular surface of the fixed bone, or by the ground, or any other fixed support on which the limb rests. It is rare to find that one of two interarticulated bones is 104 PHYSIOLOGY CHAP. absolutely rigid and the other movable ; much more frequently both the bones are movable, but in different degrees. The muscle or muscles attached to the two bones exert in contraction an equal traction upon the two points of insertion and tend to dis- place the two bones equally, but since the resistances opposed to the displacement of the two bones differ, it follows that they are unequally displaced. The distinction of fixed and movable in- sertions of a muscle really has only a very relative value. As a rule, however, one of the muscular insertions is less displaced than the other, generally that which is nearer the axis of the trunk, or the root of the limb. FIG. 65. A, Flexor movements of forearm for contraction of anterior brachial, which causes backward rotation of arm in scapulo-humeral articulation. (O. Fischer.) B, Extensor move- ments of forearm produced by triceps, and associated with forward rotation of arm in scapulo-humeral articulation. (O. Fischer.) The two diajn'ams represent an experiment made on a mechanical model. To demonstrate the mobility of the points of insertion of the muscle, Fischer (1895) employed a wooden model to represent the humerus and ulna articulating together, flexed by contrac- tion of the anterior brachial muscles, and extended by the con- traction of the triceps. He found that the movement of flexion is associated with the backward displacement of the humerus, and the movement of extension with its forward displacement (Fig. 65, A, B). The relation between the movements of the shoulder and of the elbow joints which occur in consequence of the contraction of the flexor or extensor muscles of the elbow varies when the mass of the limb is increased. If, for instance, a weight is held in the hand, and the elbow is flexed, the movement at the shoulder is increased. II MECHANICS OF LOCOMOTOE APPAEATUS 105 These statements refer not merely to the flexor and extensor muscles of the forearm, but have a general value. When the knee is bent, not only does the leg move backward, but the thigh bends simultaneously forward. Generally speaking, it may be stated that a uni-articular muscle produces a movement in the neighbouring articulation in the opposite direction to that which occurs in the articulation lying between its points of insertion. The whole of the force on the muscles is not utilised in the movements of the ^ skeleton. This occurs only in the case when the insertion of the muscles is approximately at right angles to the bone, as in the masseters which are able to em- ploy their full strength in bringing the jaws together. But the great majority of the muscles are inserted more or less obliquely, the direction of their fibres forming a more or less acute angle with the principal axis of the bone. In all these cases a great part of the traction force of the muscle is lost in the move- ment. This disadvantage is frequently diminished by the fact that many bones have prominences at the point of attach- ment of the muscles over which the tendons of the muscles pass as over a pulley, and become attached to the bone at a favour- able angle. In every case, whatever the form and size of the angle of insertion of a muscle upon the bone, it is possible by resolving the total traction force into its components, according to the law of the parallelogram of forces, to estimate how much is utilised T i . , , , Fio. t>6. Diagram of the resolu- m displacing the moving bone, Supposing tion ofi muscular force into the other bone to be rigid. Let it be supposed that AC and AB in Fig. 66 represent the long axes of two bones, which are movable round the axis A perpendicular to the plane of the figure ; that MM' are the points of insertion of a muscle, M being fixed, M' movable ; lastly, that the line M'D represents the total traction force of which the muscle is capable. If we resolve the line M'D into its two components M'E and M'F, which are vertical to each other, then M'E represents the force utilised by the muscle in moving the joint A, called by mechanicians the moment of force, while M'F is the amount of force that is spent in pressing the two articular surfaces at A against one another, so as to render the its components. Explanation in text. 106 PHYSIOLOGY CHAP. articulation more solid. The more obtuse the angle BAG formed by the two bones, the smaller will be the components M'E, i.e. the force utilised in the movement. The smaller this angle becomes, the greater will be the proportion of the force employed in the movement. Since movable bones may be regarded as levers, the laws which govern the action of levers can be applied to them. When the object is to attain considerable speed rather than have great force, the force is applied to the shorter arm of the lever ; when, on the con- trary, a high resistance has to be overcome, and less speed of movement is required, the force is applied to the longer arm. In the animal body the arm of the lever to which the force is applied is shorter than that which causes resistance, i.e. the majority of the muscles are inserted nearer the articu- lations than is the centre of gravity of the movable part. This arrangement is advan- tageous for the speed of the movement,butdisadvantageous owing to loss of force. The loss is, however, compensated by the fact that a less amount of muscular shortening is re- quired to effect a given range of movement (Fig. 67). It is important to note that during movement the length of the arm to which the force applied, and that which FIG. C7. Diagram showing the various degrees of muscular shortening required for a given move- ment, according as the lever arm varies for Eower and for the load. (Luciani.) When the iver AC rotating on the axis A reaches AC", the muscle MM only shortens slightly (Mm'), because the lever arm AM i.s shorter than that of the load MC ; the muscle MM', on the contrary, has to shorten much more (to Mm") to execute the same movement, because the arm AM' is much longer than that of the load M'l '. IS carries the weight, often vary in proportion with the range of the movement, so that the load diminishes during work. When, for instance, the body is raised from the bent knee, this movement is accompanied by the unloading of the muscles which actively extend the knee. In this position the arm that carries the load is represented by the horizontal distance of the axis of the knee- joint from the line of gravity of the body, i.e. from the perpen- dicular taken from its centre of gravity. During the rise this ii MECHANICS OF LOCOMOTOK APPARATUS 107 distance becomes gradually less, and iu the erect posture is almost negligible. On the other hand, the working line of the quadriceps muscle which extends the knee remains at approximately the same distance from the axis of the knee-joint during the movement. III. Leaving the study of the various positions that may be assumed and the different movements that may be performed by each part of the skeleton, we must here confine ourselves to studying the different postures and movements of the body as a whole in progression. In both standing and walking the position and the displace- ment of the centre of gravity and of the line of action of gravity of the whole body are of great importance. Every part of the body gravitates according to the vertical line that falls from it to the earth. This infinite number of perpendiculars which only meet at the centre of the earth, and niay therefore be regarded as parallels, may be replaced by one single perpendicular line representing the sum of the component forces ; this is known as the line of gravity. Whatever position is assumed by the body, so long as it preserves the same form, the lines of gravity corresponding with each posture intersect at the same point which is known as the centre of gravity. In all bodies which are not geometrical in form and consist of a heterogeneous mass, the centre of gravity can only be deter- mined by experiment. This is done by suspending the body by a cord successively in two different positions ; the directions of the cord prolonged through the body give two lines of gravity, and the point at which they intersect is the centre of gravity. The exact determination of the centre of gravity of the human body is much more difficult, since it is not a rigid body, and undergoes changes of form. Borelli (1679) and the Webers, starting from the assumption that in well-formed individuals the line of gravity must lie in the median sagittal plane, or the plane of symmetry of the body, attempted merely to ascertain the height of the centre of gravity, that is, its distance from the sole of the foot and apex of the head, without defining its position on the transverse vertical plane. For this purpose they laid a man on his back upon a board supported on a metal wedge, and placed the whole in equilibrium like the arms of a balance. The vertical plane perpendicular to the length of the body through the wedge that supports the board must pass through the centre of gravity. They found that this plane was nearer the crown of the head than the sole of the foot. If the total height of a man be taken as 1000, the centre of gravity would be found at 570 from the sole and at 430 below the crown. These observations were controlled by Harless and by Meyer, who found values that did not vary more than 3 per cent from those of the earlier observers. Harless found that in woman the 108 PHYSIOLOGY CHAP. centre of gravity is placed lower than in man ; in children, on the contrary, it is higher, owing to the relatively greater or less development of the pelvis. In order to ascertain the centre of gravity in the antero- posterior plane of the body, Meyer placed a naked subject in the erect and rigid posture, and then made him bend forward on the front of his feet and his heels as far as possible without falling. By means of a plumb line he determined the lines of gravity in the two most extreme postures, and the points of intersection of Fin. 68. Normal position. (Braune ami Fischer.) In this position the centres of rotation of the principal articulations fall in the same vertical plain- indicated by the line. FIG. 60. Military position or "stand at ease." (Braune and Fischer.) In this position the centres of rotation for the lower limbs lie behind the vertical line that passes through the centre of gravity. these lines in the body represent its centre of gravity in the given erect and rigid posture. More recently Braune and Fischer have applied the same method to the dead body frozen and extended on its back upon a board. The rigid and invariable form of the body enabled them to determine exactly the point of intersection of three perpen- dicular lines of gravity obtained by successively suspending the body in three different positions. According to Weber the centre of gravity of the whole body in the erect position is at about the level of the sacral promontory ; according to Meyer it lies at about the upper border of the second sacral vertebra inside the spinal canal ; according to Braune and Fischer it is considerably farther forward, at the level of the upper border of the third sacral vertebra. ii MECHANICS OF LOCOMOTOE APPAEATUS 109 The centre of gravity of the trunk may lie determined on the dead subject in the same manner after exarticulating all the limbs. It lies in the plane between the lower extremity of the sternum or the ensiform cartilage and the tenth dorsal vertebra, and in a vertical transverse plane that passes somewhat behind the axes of rotation of the heads of the femurs. We shall presently see the importance of this fact. The position of the centre of gravity for the whole body is important in determining the positions of more or less stable equilibrium of the body. Braune and Fischer denned the normal erect posture (Normdl-Stdlung} as that in which the axes of rotation of the principal articulations fall in the same vertical transverse plane as the line of gravity (Fig. 68). From this they distinguish the military or " stand-at-ease " position (Bequeme Hal tuny} in which the line of gravity falls 4 cm. in front of FIG. 70. The base of support and the line of gravity in different postures. At A tin 1 base of support is represented by the area <>''<'/, and , movements of right foot ; 5, of left foot ; II, vertical oscillations. which consists in suppressing the images of the left side of the body, photographing only the right half of the walker. For this purpose the left half is clothed in black, the right in white (Fig. 76). The figures of each step can similarly be multiplied in walking or run- ning by increased simplification of the images. For this the subject is clothed entirely in black, six brilliant metal buttons being placed on the head and over the articulations of the shoulder, elbow, thigh, knee, and foot, as well as five shining bands over the bone of the arm, forearm, thigh, leg, and edge of the foot (Fig. 77). By photographing the subject as he walks forward strongly illuminated by the sun, the chronophotogram is obtained, as shown in Fig. 78, where, for the sake of simplification, the tracing of the Fiii. 76. Photographs of right half of body of a subject walking slowly iiasl the camera. (Marey.) head is omitted, since it shows only vertical oscillations which are perfectly comparable at every step with those of the dots on the shoulder and thigh, as shown on the figure. A later improvement on Marey's method was introduced by Braune and Fischer, who substituted for the dots and metal bands on the black coat of the subject, upright Geissler's tubes, connected with the conducting wires of a circuit which included a big Ruhmkorf induction apparatus. The circuit was interrupted at equal intervals, which lasted O0383 parts of a second. By photographing the subject as he w r alked not only along a plane parallel with the sensitive plate but also along other planes, Fischer was II MECHANICS OF LOCOMOTOK APPARATUS 117 able to construct a curve of the movements of various joints and of the head, as also of the, movements of the trunk, etc. Fig. 80 is a diagram of the cycle of walking constructed by Zimmerman from tlie dmmophotographs of Fischer. The tracing (Fig. 79) obtained by Carlet with his exploring shoes shows that in the usual mode of walking the heel is first applied to the ground, then the whole sole of the foot, and lastly the ball of the toes only ; that the time during which both feet are on the ground is less than half the period that each alone rests on it ; that the time of the rise and swing of one leg is always shorter than that of the opposite limb. Carlet demonstrated by the same method that the pressure exer- cised by the foot upon the ground during a step is not equal to the weight of the body, but that in the last stage of the step an additional pressure dependent on the muscular forces, which raises the body and propels it forward, is added. According to Carlet the additional incre- ment of pressure varies with the length of the steps and never exceeds 20 kgrms. The length of the step depends on the length of the lower limbs and the degree in which the knee of the limb which bears the weight of the body at the commencement of the step is flexed. Fig. 73, which shows diagrammatically the position of the lower limbs at the commencement of the step, makes it plain that the length of step can only increase when the length of the hypo- tenuse (i.e. the length of the extended limb) is increased, or when the flexion of the knee of the limb on which the weight of the body falls is increased. People who have long legs and long feet naturally take longer steps than short people ; and if they walk together the latter are obliged to quicken their step by a voluntary effort ; this is done by increasing the flexion of the knee and dropping the centre of gravity. If the knee is kept rigid and extended, only very short steps are possible, and a greater expendi- ture of energy than usual is required. It is also possible to vary the rate of the step, which depends on the duration of the application of one or both feet to the ground, that is, on the forward swing of the inactive limb. The duration of the double application depends on the will ; the more hurried the ing. ChronophotograpMc method. (Marey.) 118 PHYSIOLOGY CHAP. gait, the shorter it becomes, and according to the Webers in very rapid walking its duration is reduced to zero, i.e. one leg is raised as soon as the other touches the ground. This, however, is contra- dicted by Carlet, who found a brief period in which both feet were on the ground, even in the most rapid gait. The rate of swing of the relatively passive limb depends on the stature or the length of limb. The shorter the limb, the more rapid the swing. The speed of walking depends upon the length and duration of the steps, i.e. the distance traversed in the time unit. Numerous FIG. 78. Chronophotograph of walking ; shows the successive positions taken up by the joints "and bones of the limbs in the step. (Marey.) experiments of the "Webers show that as an individual increases the length of his steps their duration diminishes, so that when walking at full speed the duration of the steps is minimal and their length maximal. This can be verified from the figures given by the Webers in the following table : Duration of Step in Seconds. Length of Step in Millimetres. Speed of Walking in Metres per Sec. 0-335 851 2-397 0-417 804 1-928 0-480 790 1-646 0-562 724 1-288 0-604 668 1-106 0-668 629 0-942 0-846 530 0-627 0-966 448 0-464 1-050 398 0-379 This law of the inverse ratio between length and duration of steps only holds, according to Marey, up to a certain point. When II MECHANICS OF LOCOMOTOE APPARATUS 119 the number of steps exceeds 150 per minute, i.e. when the duration of the step becomes less than 0'4 second, the speed of walking does not increase because the length of step diminishes. The force of walking depends on the extensor muscles of the thigh, leg, and foot. Fig. 80 gives an exact idea of the position of the principal articulations not only of the lower limbs, but also of the upper limbs and the head at the different moments of the step cycle. 123 4 567 g- 91011 T23 4 567 Fi<:. 79. Tracings of the pressure applied to the ground in walking. (Carlet.) I'd, right foot; P*. left foot; Or, vertical oscillations; On, horizontal oscillations. 1, 2, 3 = period of double application; 3, 4, 5 = period of single application; l-7 = period of application of left foot; 5-11 = period of application of right lout ; 1-3 and 5-7 = application of heel of left or right foot ; 4-5 and 8-'.i = application of point of left or liuht foot. The cycle begins at the instant in which the left leg is raised from the ground and swings forward, while the heel of the right leg rests upon the ground. Each step is divided into 10 successive phases of equal duration, and at every 10th phase the right leg is in the position originally occupied by the left, and vice versa. From the 1st to the 5th phase, which include the first half of the step, the left knee becomes flexed, while the right becomes extended, so that the thigh and shoulder joints (represented by the junctions of the black and red lines) and the vertex of the head (represented by the big dots marked on the upper part of the figure) are somewhat raised. From the 6th to the 10th phase, which include the second half of i 1 120 PHYSIOLOGY CHAP. the step, the left leg is extended forward till the heel touches the o ~~. to 5 30 a o S 00 ground, while the right leg first rests upon the ground with the ii MECHANICS OF LOCOMOTOE APPARATUS 121 whole sole of the foot, but later, as the heel rises, on the point of the foot only. In the first half of the step owing to the extension of the right knee there is an upward vertical oscillation of the hip, shoulder, and head ; while in the second half of the step there is a downward movement owing to forward flexion of the right ankle, and parti} 7 also of the knee on the same side. So that at each step there is a douhle vertical oscillation of the hip, shoulder, and head, as clearly shown by the figure. According to the Webers these vertical oscillations attain a height of 32 mm., according to Carlet of 37 mm., in persons of average height, during fairly rapid walking; they increase in proportion to the length of the steps. Besides these vertical oscillations, the top of the head and the shoulders and hips show lateral horizontal oscillations during walking, which are very apparent on looking down from a height, for instance from a window, upon a person walking in the street. While the vertical oscillations coincide with the length of a step, the horizontal oscillations correspond to the double steps or a whole step cycle. These lateral horizontal oscillations reach their maximum at the same moment as the vertical oscillations. In the diagram of Fitj. 80 the maximal lateral oscillation therefore falls to the O right at the 5th phase, and the maximum of lateral oscillation to the left at the 15th phase. The further apart the limbs are in walking, the more pronounced are these lateral oscillations, which evidently depend upon the degree of abduction at which the feet are planted upon the ground. The oscillations of the shoulders and hips round a vertical axis should also be noted ; these accompany the lateral oscillations of the trunk. At each step the leg that is moving forward is accom- panied by a forward movement of the hips and a backward move- ment of the shoulders, i.e. a slight twist of the trunk round a vertical axis. This torsion may be so exaggerated as to become very apparent, but it is present to a slight extent even in normal walking, especially in women with a large pelvis. The forward movement of the hips is also due to the swing forward of the lower limb of the corresponding side and the active contraction of the lumbar muscles ; the backward inclination of the shoulders is produced by the swing forward of the upper limb of the opposite side, which, according to Duchenne, is not purely passive, as it depends partly on contraction of the deltoid muscle. Fig. 80 shows plainly that while the left leg swings forwards, the right arm becomes more and more flexed at the elbow, and is raised and advanced. This torsion of the trunk and active oscillation of the upper limbs, which balance the body, increase in rapid walking. These simultaneous and opposite movements of the upper and lower limbs in the ordinary gait of man correspond with the alternate movement of the four limbs in the ordinary gait of the quadrupeds. 122 PHYSIOLOGY CHAP. Lastly, it should be noted that the torsion of the trunk is always accompanied (particularly in hurried walking and climbing) by a rhythmical forward movement of the trunk and head at each stride. This movement, which overcomes the resistance of the air and economises the power of the limbs by throwing the centre of gravity forward, is probably the effect of the activity of various muscles, especially of the ilio-psoas. VI. After this account of the complex mechanism of walking there is little to add in regard to running. As we have already pointed out, the two feet are never on the ground at the same moment in running, and one foot never comes in contact with the ground till the other has been raised from it ; the entire body is consequently suspended for a moment in the air. This is shown by the tracing taken with the exploring shoes (Fig. 81). It can also be seen with instantaneous photographs upon a fixed plate, FIG. 81. Curves nf luiiniim, traced with m-onliim shoes. (Matey.) D, movements of rijjlit font : S, movements of left tout : n. \n t iciil oscillations. The ai'plieation of the foot to the ground lie-ins at. the moment at which tin- cuive tises; its removal, at. the moment at wliich tin- curve drops. when the exposures occur at a rhythm corresponding with that of the two phases of the step in running (Fig. 82). This essential difference between walking and running depends upon the fact that in running the extension of the limb upon the ground and of forward displacement of the body is more marked, so that the body is thrown forward and raised from the ground. During the moment while the body is unsupported in the air the two legs swing forward. The leg which gives the forward impulse is a little behind during the swing, and a little forward while the other leg touches the ground. The contact of each foot on the ground is shorter in running than in walking, and its duration is inversely proportional to the force with which each foot is applied to the ground ; this increases with the rate of running. The frequency of contact increases with the pace, but only within certain limits, beyond which the space covered in a certain time depends more on the length of the steps than on their number. The absolute duration of the period in which neither foot is on the ground varies very little with the variations of the speed of running ; but its relative duration increases considerably, since, ii MECHANICS OF LOCOMOTOH APPARATUS 123 as was said above, the duration of the contact diminishes with increased speed. In order to form a true conception of the mechanism of running it is very instructive to ascertain the exact moment at which the vertical oscillations of the body reach their maximum upward excursion. The Webers held that this occurred as the body is projected upward and forward by the force of the impulse given by the rapid extension of the limb in contact with the ground. Marey's tracings show, on the contrary, that the body attains the maximum of its vertical ascents as one foot conies to FIG. 82. Instantaneous photograph of running on a fixed plate. (Marey.) the ground. As shown by curve 0, Fig. 81, the head begins to rise at the moment at which the foot touches the ground, and reaches its maximum height midway through the period of contact, after which it descends and reaches its minimum at the moment when the foot leaves the ground, and before the other foot comes into contact with it, i.e. during the phase of suspension. This proves that the suspension is due essentially not to the sudden extension of the leg but to its subsequent flexion, which suddenly withdraws it from the ground after giving the upward and forward thrust to the body. Both the leg on the ground and also the swinging leg are much more active in running than in walking. The muscles of the upper limbs also contribute to the forward thrust of the body, since they oscillate alternately with the homologous lower limbs. The torsion of the trunk round a vertical axis and inclination 124 PHYSIOLOGY CHAP. of the shoulders are less marked in running than in walking. On the other hand the inclination of the trunk forward in the first period of the contact, and backward in the second half, is much more pronounced in running. The speed of running, according to the statement of the Webers, may exceed 4'5 m. per second ; anything beyond these limits can only be kept up for a short distance. Galloping differs from walking and running, in which there is a regular alternation of the movements of the limbs on the two sides, which are placed on the ground at regular intervals. Galloping deserves a short mention, although it is not a normal form of locomotion in man. According as the gallop to the right or to the left is imitated, the right or left foot is put forward at each step, like a galloping horse. In Fig. 83, which represents Fio. 83. Tracing of galloping to the right. (After Marey.) D, movements of right foot; N, of left foot ; 0, vertical oscillations. a tracing obtained by Marey with recording shoes, four phases can be distinguished in the gallop. The left foot, the more posterior, firsb touches the ground with a firm and prolonged pressure ; while the left foot is still on the ground the right foot is placed in a more advanced position (double contact), but with less and shorter pressure ; the second contact is at once followed by elevation of the left foot (simple contact) ; and finally conies the rise of the right foot also (suspension), which lasts a perceptible time before the tap of the left foot begins the second cycle. Line of the figure shows that the two taps are followed by two slight elevations of the head, followed in turn by two depressions, most of which coincide with the phase in which the whole body is unsupported in the air. Jumping consists essentially in the rapid and energetic extension of one or both lower limbs, preceded by a pronounced flexion, by which means the body is thrown upward and forward. The mechanism of jumping varies considerably according to its purpose. Chronophotographs on a fixed plate of the successive positions of an individual who is jumping over a hedge or ditch (Fig. 84) show that during the spring and the upward and forward thrust ii MECHANICS OF LOCOMOTOK APPAEATUS 125 of the body, the movement is much more rapid than in coming down again. While rising, the arms are pushed forward in order to raise the centre of gravity and increase the impulse in the direction of the leap ; during the descent, on the contrary, they are thrown back to lessen the momentum of the body at the moment at which it touches the ground. As soon as the feet come in contact with the ground the knees are flexed to lessen the counter-blow and the shock. In order to understand the essential features of the different gaits which we have been discussing the diagram suggested by Marey is useful. In this the duration of the contacts of the right foot is shown by white lines, of the left foot by shaded lines, the duration of the elevation of either limb in the air by the iuter- FIG. 84. Instantaneous photographs of a long jump on fixed plate. (Mai^y.) veiling black area. It is a kind of simplified notation, less complete than that of the graphic method because it does not indicate the pressure exercised by the foot upon the ground and its variations ; but it is much clearer and shows at a glance the fundamental difference between the different gaits (Figs. 85, 86). This form of notation is almost indispensable in differentiating the various gaits of quadrupeds. VII. Swimming differs from terrestrial locomotion inasmuch as the body does not rest on the ground, but is immersed in water, which is a fluid medium. The body floating in water may be compared to a body resting upon a supporting plane, formed by the buoyancy of the fluid. This is due to a great number of parallel forces which act vertically from below upward on the lower surface of the swimming body. The resultant of these forces is called the centre of buoyancy, which corresponds to the centre of gravity of the liquid mass displaced. The floating body may thus be regarded as 126 PHYSIOLOGY CHAP. suspended by its centre of buoyancy, and to be in equilibrium it is necessary that the centre of gravity and the centre of buoyancy shall be on the same vertical plane. And for the equilibrium to be stable the centre of gravity of the floating body must be below the centre of buoyancy. Ships are all constructed on this Fio. S5. Diagram of four different gaits, from man. (After Marey.) 1, walking on Hat ground ; 2, walking uphill and upstairs ; 3, running ; 4, fast running. principle, i.e. so that their centre of gravity shall be as low as possible in comparison with the centre of buoyancy. The same principle has recently been applied to dirigible airships and aeroplanes. On an average the human body as a whole is heavier than fresh water (I/O 10), but its gravity differs little from, and is even some- what less than, that of salt water. While lying on his back, so Fio. 86. Diagram of galloping and jumping. (Marey.) 1, galloping to the left ; 2, to the right ; 3, series of rhythmical jumps on both feet ; hops on right foot alone. that only his mouth and nose are above the water, an adult man (especially if very fat) can easily float on the sea, if he keeps all his muscles relaxed. Thin people, however, whose average specific gravity is rather higher than that of salt water, are unable to float in the supine position without the help of slight impulsive movements of the feet, produced by rhythmical extension of the legs. In order to move in this position it is necessary to supple- ii MECHANICS OF LOCOMOTOK APPARATUS 127 ment the movements of the legs by slight rowing movements with the arms. Swimming with the abdomen downwards is more difficult, either because the centre of gravity is above the centre of dis- placement or because, as the head and neck are out of water, the weight of the body is consequently greater than that of the water displaced. The mechanism of swimming consists essentially in exercising pressure upon the water rhythmically from above downwards, and from before backwards with the surface of the hands and feet, so as to cause a reaction of the water displaced, which is able to raise the body, prevent it from sinking, and impel it forward in the required direction. The details of the mechanism of swimming have been little studied since graphic methods cannot be applied, and chrono- photography is difficult. Moreover, swimming is not natural to man, but is an art which he learns and perfects by practice. Accordingly there is no fixed and constant mode of swimming, and the movements of the upper and lower limbs adopted by different swimmers are not exactly alike. Generally speaking, there is an initial thrust forward on the surface of the water by a rapid extension and adduction of the legs, on which the water is displaced backwards and toward the bottom by the feet, producing a reaction which raises the body of the swimmer and jerks it forward. This movement of the lower limbs is accompanied with a forward thrust of the arms, which are brought together in front. The arms are then moved outwards, backwards, and slightly downwards, this being perhaps more efficacious in swimming than the initial movement of the lower limbs. This movement is associated with retraction and abduction of the legs, which completes the natatory cycle. If the swimming movements are too strong and rapid, they are fatiguing and of little use. Both hands and feet, which act as the blades of an oar, press on the water with the maximum available surface, and return to the starting position with a slower move- ment, and at the same time present the smallest possible surface to the water. BIBLIOGRAPHY BORELIJ. De motu animalium, etc. Rome, 1680. ED. and W. WEBER. Mechanik der menschlichen Gehwerkzeuge. Guttingen, 1836. DUCHENNK.. Phys. des mouvements, 1867. CARLET. fitude sur la locomotion humaiiie, 1872. MAREY. La machine animale, 1879. G. H. MEYER. Die Statik und Mechanik des menschlichen Knochengeriistes, 1873. PETTIGREW. La locomotion chez les animaux, 1874. A. FICK. Hermann's Handbuch der Physiol., I., 1879. W. BRAUNE and 0. FISCHER. Abhandlungen der rnath.-phys. Klasse der konig. sachs. Gesellsch. der Wissenschat'ten, 1885-1904. 128 PHYSIOLOGY CHAP, n MAREY. Developpement de la methode grafique par 1'emploi de la photographic. Paris, 1885. Le mouvement, 1894. 0. FISCHER. Arch. f. Anat. und PhysioL, Anat. Abt., 1S96. R. DU BOIS-REYMOND. Ergebnisse d. PhysioL, II., Part ii., 1903. (Contains many references. ) Spezielle Muskel physiologic oder Bewegungslehre. Berlin, 1903. Recent English Literature : SHERRINGTON. Remarks on the Reflex Mechanism of the Step. Brain, 1910, xxxiii. 1. GRAHAM BROWN. The Intrinsic Factors in the Act of Progression in the Mammal. Proc. Roy. Soc., London, 1911, B. Ixxxiv. 308. GRAHAM BROWN. Note on the Movements of Progression in Man. Journ. of PhysioL , 1912, xlv. p. xvii. GRAHAM BROWN. Dynamic Principles involved in Progression. Brit. Mt>d. Journ., 1912, ii. 285. CHAPTER III PHONATION AND ARTICULATION CONTENTS. 1. General observations on the fundamental characters of sounds, and their formation by different musical instruments. 2. Structure of larynx as a musical instrument ; functions of laryngeal muscles. 3. Nerves and centres of phonation. 4. Mechanical conditions for the production of laryngeal sounds ; function of different parts of the phonatory system. 5. Principal characteristics of the singing voice. 6. Difficulties and natural imperfections of singing. 7. The vowel system in phonetic language. 8. Theory of physical nature of vowel tones. 9. System of semivowels or sounding consonants, middle consonants and mute consonants. 10. Composition of syllables and words. 11. Writing, or graphic language. Bibliography. BOTH in animals and man movement may be regarded, broadly speaking, as the external, conscious or unconscious, manifestation of the mental state. But it is essential to discriminate between the movements which betray only instinct and feeling, and the expressional movements which are the means of intellectual communication. These expressional movements and attitudes taken as a whole constitute natural language, and are of special artistic and psychological interest. From the physiological point of view they present no difficulties ; they can be explained on simple anatomical principles, and by the general laws of mechanics, which were discussed in the last chapter. The natural language and the vocal expression of animals constitute our only objective basis for the construction of a comparative psychology. This language consists of gestures, ejaculatory sounds or noises, and physiognomic attitudes, which are partly imitative (onomatopoeic) and to a far larger extent instinctive, developed according to the laws of heredity and atavism. In this language there is nothing conventional ; it is intelligible to all, without instruction or effort. Without such a language animals would be unable to herd together, unite in families and societies, defend themselves from their enemies, migrate in flocks at certain seasons, etc. As a general rule it may be said that natural language is most complete in the more intelligent animals. In different VOL. Ill 129 K 130 PHYSIOLOGY CHAP. animals, again, different organs or parts have the task of expression. In the higher mammals it is the face which by the mobility of its muscles lie trays most expression, and in many mammals but not in man the ears contribute greatly to expression by their varied movements ; the nose, lips, and mouth play a considerable part in physiognomy. In some animals, again, the movements of the tail and feet are significant. Lastly, the different postures of the body as a whole play a great part in expression. Painters, sculptors, actors, all make special studies of the natural language, both in animals and man. They devote themselves to observing and minutely analysing postures and deciphering their psycho- logical significance, in order to reproduce them effectively in works of art or dramatic representations. I Hit the chief means by which the animal expresses its feelings, wants, and passions is the voice, i.e. the inarticulate or scarcely articulate sounds and noises which are characteristic of different species. In deaf mutes the language of gesture attains a high develop- ment, and is able to fulfil all the needs of social life. But under normal conditions the mimetic language of man is almost always accompanied by phonetic language, or speech, and merely serves to reinforce and elucidate expression. Voice production is not the direct effect of muscular activity, but is due to the vibrations produced in a particular apparatus, the larynx, which is a true musical instrument. Nevertheless, as it is muscular contraction which produces the degree of tension in the vocal cords that is essential to the formation of the different sounds, the study of phonation (speech) is closely connected with the study of movements. The formation of words, i.e. articulate speech, is a more complex process, which is not limited to the larynx, but also depends on the production of non-musical noises by the current of expired air as it passes through the pharynx, buccal cavity, and nasal fossae. Consequently, laryiigeal phonation is not in- dispensable to conversation, any more than verbal articulation is necessary to singing. It is possible to whisper without using the vocal cords, and to sing vocally without words. I. Since the voice is an acoustic phenomenon with musical characters, the organ which produces it may be considered as a musical instrument. In order to understand its function in speech, it is well to glance briefly at the fundamental principles of the production and characteristics of tones in general. All elastic, solid, fluid, or gaseous bodies are capable of vibrating so as to produce auditory sensations, that is, tones or noises. A tone, according to Helmholtz, is any auditory sensation produced by regular rhythmical vibrations ; a noise is a sensation due to irregular and non-rhythmical vibrations. in PHONATION AND ARTICULATION 131 Simple sounds or tones are composed of pendular vibrations, i.e. to-and-fro movements of the vibrating molecules which follow the same laws of motion as a pendulum. These vibrations only differ in amplitude and duration : the amplitude is directly pro- portional to the loudness of the sounds ; the duration is inversely proportional to the number of vibrations per second, on which the pitch of the sound depends. The form of the pendular vibrations is constant and invariable. They can be graphically recorded by making a tuning-fork trace its vibrations on a revolving cylinder. Helmholtz distinguishes "simple tones" or sounds (Ton) from " compound tones " (.Klang), which are an aggregate of the simple tones produced by simple, pendular vibrations. While, the form of vibration in simple tones is always the same, that of compound tones varies considerably, and depends on. the algebraic sum of the component tones. The deepest of these tones is called the prime tone, and the rest are the harmonics, or over-tones. The vibration frequency of the prime tone to that of the partial tones is in the ratio of 1 : 2 : 3, etc. The number of partials which make up a compound tone, and their relative strength, differs considerably for different musical instruments, even when the prime tone is the same. This difference gives rise to the quality (timbre, Klangfarbe] of a note, which depends on the particular form of the vibration of the tone, due to the relative number and strength of its harmonic overtones. A compound tone can be resolved into its partial tones by means of resonators. All sounding bodies have their own note ; when made to vibrate, they invariably give out a note of a certain pitch, which corresponds with a certain frequency of vibration per second. When the surrounding air transmits to the sounding body a number of vibrations corresponding to its proper note, it begins to vibrate in unison. When, on the contrary, the vibration frequency does not correspond with the frequency of its own note, it remains at rest, or vibrates very feebly. Given a series of hollow metal chambers (resonators) tuned to different notes of the musical scale, it is possible to analyse compound tones into their partials. When one ear is stopped, and the other is applied to the aperture of a resonator, each resonator reinforces its own note and cuts out all the rest (Helmholtz). Konig's manometric flame method, described in text-books of physics, renders visible the partials contained in a compound tone. Another mode of analysing complex sounds is based on the phonautographic curves traced by means of the thin membranes used in phonographs with a very light lever, or a small mirror that reflects a beam of light 011 to a travelling sensitive surface (Hermann's Musical instruments can be classified according to the 132 PHYSIOLOGY CHAP. way in which their sounds are produced ; the principal forms are stringed instruments, wind instruments, and reed pipes. In stringed instruments the notes produced by the vibrations of the strings are enormously reinforced by the resonance boxes. The pitch varies with the length, tension, density, and thickness of the stretched string. The frequency of vibration per second, on which the pitch depends, is inversely proportional to the length of the string. A string vibrating over its whole length gives out the deepest note ; if the length is halved, the frequency of vibration is doubled, and the pitch is raised an octave ; with a third of its length the frequency will be three times as great, i.e. a twelfth, and so on. The frequency of vibration varies directly as the square root of its stretching force. In order to raise by an octave the pitch of the note given by the string, the tension would require to be increased four times. The frequency of vibration varies inversely as the mass of unit- lengths of the string. Thicker and heavier strings vibrate less rapidly and therefore have a deeper tone. Wind instruments differ from stringed, since the air is here the resonant body, and the walls of the pipe in which the air vibrates affect only the timbre, i.e. the number and strength of the partials. The pitch of the fundamental tone depends on the dimensions of the pipe, and the strength of the blast of air passing through its aperture. The narrower and shorter the pipe, the higher is the pitch ; the greater the tension of the vibrating air molecules, the more rapid are the vibrations, and the higher the frequency per second. Eeed instruments (oboe, clarinet, bassoon) only differ from other wind instruments by the fact that their aperture is not fixed and constant, but is formed of two vibrating tongues, which rhythmically enlarge and reduce the opening by which the air penetrates into the tube. According to Helruholtz the vibrations of the tongues are pendular, and they can only give out simple tones. The compound tones of these instruments depend on the vibration of the air in the pipes ; the tongues merely regulate the entrance of the air blast by rhythmically alternating the diameter of the opening, which breaks up the column of air into a series of rapid blasts. Instruments with rigid tongues must be distinguished from those with soft or membranous tongues, which are represented in brass instruments (trumpets, horns, etc.) by the lips of the performer. In these instruments the number of the vibrations is inversely proportional to the length and diameter of the vibrating membrane, and directly proportional to its tension and elasticity and to the strength of the air-current thrown into vibration. The width of the aperture does not appear to influence the pitch of the note Ill PHONATION AND AKTICULATION 133 produced by membranous tongues, but its formation is easier in proportion as the slit is narrower. The extra tubes which form the body of these instruments have a great influence on pitch and timbre ; the tones become deeper as the body is longer, but never drop an octave as is the case in instruments with rigid lips. As a musical instrument the larynx has many points of resemblance with tongued instruments. The formation of laryn- geal sounds depends on the passage of air through a slit (opening of the glottis) which is rhythmically altered in width by the vibration of membranous tongues (the vocal cords) so as to break up the air blast that passes through it. The wind-pipe is formed by the bronchi and trachae, as in brass instruments ; the sounding -pipe or resonator by the cavities lying above the glottis, i.e. the larynx and pharynx, the mouth and the nose. On the other hand the vocal apparatus is dis- tinguished from all tongued musical instruments by the fact that the vocal cords which represent the tongues can change at any moment in length, breadth, diameter, and tension, even independ- ently of the pressure of the air blast which thrOWS them Fl - S7. Laryngeal cartilages, seen from behind. (Henle.) t, thyroid cartilage: Cs, i.'l, its superior and inferior horns; Pm, Pr, processus muscnlus and vocalis of arytenoid cartilage ; co, cartilage of Santorini ; <;, cricoid cartilage. cr into vibration. A clear idea of the con- struction of the larynx is essential in order to understand the complex mechanism of phonation. II. The larynx consists of a cartilaginous skeleton which is only partially ossified. The laryngeal cartilages are united by fibrous membranes, ligaments, small articular capsules, and by a series of small muscles, which constrict or dilate the glottis, stretch or relax the vocal cords, and regulate the thickness of their vibrating portions. The cricoid cartilage is shaped like a signet ring with its narrow part forward, and its face backward. Its lateral surface articulates with the inferior cornua of the thyroid cartilage. The two cartilages can rotate round the horizontal axis of these articular surfaces, the anterior surface of the thyroid may be displaced forwards and downwards, or the front part of the cricoid cartilage may be pushed up towards the thyroid. The triangular bases of the two arytenoid cartilages articulate at the upper margin of the K 1 134 PHYSIOLOGY CHAP. cricoid plate on both sides of the median line by oval saddle-shaped joints, which allow of their rotation on their base, and the dis- placement of the base inward or outward. The stout crico- arytenoid ligament controls the back to front movement of the arytenoids. At the summit of the latter comes the articulation of the two little cartilages of Santorini (Figs. 87, 88, 89). The thyroid cartilage is attached to the hyoid bone, which lies above it, by a fibrous membrane, the thyro-hyoid (known in its middle portion as the ligamentuni thyreo-hyoideum lateralis), and by the lateral thyro-hyoid ligament, which runs from the superior cornua of the thyroid to the great cornua of the hyoid. By means -Cs Pi 3 FIG. 88. (Left.) t, thyroid, and cc, cricoid cartilages, from the side. (Henle.) FIG. 89. (Right.) Laryngeal cartilages divided through the median -sagittal plane, and viewed from within. (Henle.) /, thyroid cartilage ; Cs, its upper horn ; Pi', processus vocalis of arytenoid ; co, cartilage of Santorini ; er, cricoid cartilage. of these membranes and ligaments the whole larynx can be drawn upwards. Behind the thyro-hyoid membrane is the epiglottis, which is attached below the thyro-epiglottidean ligament to the median notch of the thyroid, and projects into the pharyngeal cavity in the form of a tongue which is folded back in swallowing and forms a lid for the upper opening of the larynx (Figs. 90, 91, 92). On both sides of the free portion of the epiglottis the mucous membrane forms a fold that unites the upper margin of this cartilage with the cartilages of Sautorini. In the depth of this aryteiio-epiglottidean fold there is a group of mucous glands and a nodule known as the cuneiform cartilage, or cartilage of Wrisberg. The aryteno-epiglottidean fold limits the upper opening of the larynx ; it is oval in form and is inclined backwards and downwards. The laryngeal cavity narrows into the glottis or rima glottidis. Ill PROBATION AND AKTICULATION 135 Here the mucous membrane forms on each side two thick trans- verse ridges which extend from the base of the epiglottis backwards to the vocal processes of the arytenoids. The two upper ridges are known as the false, and the two lower as the true vocal cords. The former project less towards the median line of the glottis than the latter. Between the true and false vocal cords are two recesses, known as the ventricle of Morgagni (Fig. 94). The elastic fibres of the submucosa are highly developed in the fas tat J. f - FIG. 90. Laryngeal cartilage with fascia, ligaments, and insertions of certain muscles. (Henle.) Oli, hyoid bone; e, epiglottis; Cs, superior horn of thyroid cartilage; he, hyo-epiglottic ligament ; Jitl, lateral hyo-thyroid ligament ; tr, cartilage tritica ; tc, thyro-epiglottie cartilage ; ca, crico - arytenoid cartilage: tas, tai, superior and inferior thyro - arytenoid ligaments; Cap', Cap", insertions of posterior crico-arytenoid muscle ; Lp, insertion of laryngo-pharyngeal muscle. true vocal cords, and form compact bands which run through their whole length ; they are wedge-shaped in cross-section, and covered by a layer of non-ciliated pavement epithelium. In the false vocal cords the elastic connective tissue is much less abundant, and the mucous membrane that covers it is rich in adenoid tissue, which is even more plentiful in the laryngeal ventricles and on the posterior- inferior surface of the epiglottis. The mucous membrane of these parts soon becomes oedematous from accumulation of lymph in the lymph-spaces, which may obstruct respiration and cause suffocation by closure of the glottis. Owing to their elasticity the true vocal cords extend and con- tract without falling into folds, and their delicate free edges, 136 PHYSIOLOGY CHAP. which are thrown into vibration by the expiratory blast, remain regular. The two true vocal cords which extend from their anterior insertion on the thyroid to the vocal processes of the arytenoids, into which they are inserted posteriorly, form the pars vocalis of the glottis, the average length of which in the adult male is 18 '2 mm. according to Miiller, 17'5 mm. according to Harless, in the female 12'6 mm. according to Miiller, 13 - 5 mm. according to Harless. The posterior part of the glottis, which is 7 -8 mm. long, and FK;. 91. Larynx from behind, after removing a portion of the aryepiglottidean fold and upper posterior portion of left thyroid cartilage. (Henle.) Taep, thyro-ary-epiglottidean muscle ; Cap, posterior crico - ary tenoid muscle; A, arytenoid muscle; x, kerato - cricoid muscle; kcps, posterior, superior, kerato-crieoid ligament ; co, cartilage of Santorini ; *, mucous glands iu tlie aryepiglottic fold. extends from the posterior ends of the vocal cords to the intra- arytenoid fold, is bounded by the arytenoids, and is known as the rirna glottidis respiratoria or intercartilaginea. The laryngeal muscles dilate and constrict the glottis, and extend and relax the vocal cords. These effects for the most, part depend not on the action of a single muscle, but on the co-ordinated play of several, which makes it harder to obtain any exact know- ledge of the function of each separate muscle when they are working together. The two posterior crico-aryteuoid muscles are the chief, if not the only dilators of the glottis ; owing to their attachments and the oblique course of their fibres they rotate the bases of the Ill PHONATION AND AKTICULATK >X 137 arytenoids round their vertical axis, and, therefore, draw the two muscular processes of the arytenoids down and back, and con- sequently further from the median line, and at the same time raise the two vocal processes. Isolated contraction of these muscles must therefore abduct the vocal cords and dilate the rima glottidis ; their paralysis must, on the other hand, produce in- spiratory dyspnoea owing to abnormal constriction of the rima, but it does not cause appreciable disturbance of phonation. The constriction of the glottis is produced chiefly by the Oh .} tr cl FIG. M. Larynx and hyoid bone, from the front. (Henle.) Oh, hyoid bone; litl, lateral hyo- thyroid ligament ; if, cartilage tritica ; htm, median hyo-thyroid ligament ; ct, crieo-thyroid ligament; Pp, inferior extremity of palato-pharyngeal muscle; Th, thyro-hyoid muscle; Cir, erico-thyroid muscle divided into three bundles ; the vertical bundle on the left side has been removed to show the crico-thyroid ligament i:t. transverse arytenoid muscle, which runs between the outer posterior borders of the arytenoids, and by contracting draws the two bases of these cartilages towards the middle line, and their mesial surfaces together, so that the intercartilaginous glottis is closed. When this muscle is divided in any animal, the posterior portion of the glottis remains fully open. Other muscles also are concerned in the active closure of the glottis ; they co-operate with the transverse arytenoids to form a kind of laryngeal sphincter. Among these are the thyro- aryepiglottidean, and the thyro-arytenoid muscles. The two first run from their point of attachment on the inner surface of the thyroid obliquely backwards over the two posterior surfaces of 138 PHYSIOLOGY CHAP. the arytenoids, where they cross in the median line, and then run along in the aryteno-epiglottidean fold to be inserted in the base of the epiglottis. The two latter start from the lower part of the internal angle of the thyroid, and turn backwards and upwards to the muscular processes of the arytenoid. The chief function of these muscles is to constrict the glottis, and reinforce the transverse arytenoid muscle. The lateral crico-arytenoid muscle also aids in the abduction of the vocal cords. This muscle runs obliquely from behind and CO M cap Fin. 93. Side view of larynx, utter exarticula- tion and removal of left plate of thyroid cartilage. (Henle.) Sat, articular surface of thyroid with cricoid ; (jap and ( 'al, crico- arytenoid muscles, posterior and lateral ; co, cartilage of Santorini, below which the arytenoid and thyro-epiglottidean muscles (Fig. 91) are seen in profile. ct Fie. 94. Frontal section of larynx, the anterior half viewed from behind. (Henle.) t, thyroid; cr, cricoid ; a, plica ary-epiglottica ; Taep, thyro-ary-epiglottidean muscle ; Toe and Tai, thyro-aryitenoid muscles, external and internal : 1, tubercle of epiglottis ; 2, 3, ven- tricle ; 4, plica thyreo-arytaenoidea superior or false vocal cord; 5, plica thyreo-ary- taenoidea inferior, or true vocal cord. above, forward and downward, viz. in the opposite direction to the posterior crico-arytenoid or abductor of the glottis. The tension of the vocal cords is especially due to the crico- thyroid muscles, which in contracting raise the front part of the cricoid towards the thyroid, and depress the posterior part of the cricoid and consequently of the two arytenoids which rest upon it (Longet). The effect of this rotation of the cricoid on its transverse horizontal axis is to increase the distance between the points of insertion of the vocal cords and thus to stretch them. In order that the vocal cords may be stretched, it is necessary that the two arytenoid cartilages should be firmly fixed, so that Ill PHONATION AND AETICULATION 139 Tae Tan they cannot be drawn forward. This is effected by the combined action of the dilatators and constrictors of the glottis, viz. the posterior crico-arytenoids (dilatators), the transverse and oblique arytenoids, the external thyro-arytenoids, and the lateral crico- arytenoids (constrictors). If the posterior crico-arytenoids alone contracted with the crico-thyroids, the vocal cords would be stretched and abducted and the glottis dilated. But it is essential for the formation of sounds that the cords shall be not only tense, but also approximated to each other, so that they can be thrown into vibration by the expiratory air-current. These two conditions are realised when the constrictors of the glottis are thrown into action simultaneously with the dilatators. According to C. Meyer and Griitzner, the genio-hyoid and thyro-hyoid muscles con- tribute to the tension of the vocal cords, as they raise the thyroid upwards and forwards in the direc- tion of the chin, and sup- plement the action of the crico- thyroid muscles by which the rotation of the crico- thyroid articulations round the transverse hori- zontal axis is effected. The relaxation of the vocal cords is due to simple elastic reaction when the extensor muscles cease to act. Active re- laxation of the cords can, however, be produced by the internal thyro-arytenoids, which are perhaps the most important muscles for phonation. They are triangular muscles, which extend with the vocal cords from the inner angle of the thyroid to the vocal processes of the arytenoids, but some of their bundles are inserted in the elastic substance of the cords. When these muscles contract they pro- duce an opposite effect to the crico-thyroids, and bring the vocal processes of the arytenoid nearer to the thyroid, which relaxes the cords. But it is conceivable that contraction of the isolated bundles inserted into the elastic tissue of the cords may produce tension of some parts and relaxation of others. It is very probable that the true function of the internal thyro-arytenoids in phonation is to regulate the tension and thickness of the vibrating portion of the vocal cords, by which a rapid succession of tones of different pitch is made possible. The internal thyro-arytenoids almost always co-operate in Km. '.15. Transverse section of larynx through bone of arytenoid cartilages. (Henle.) t, thyroid ; PC, pro- cessus vocalis of arytenoid ; .?//, sinus pyriformis ; Th, section through thyro-hyoid muscle; A, ary- tenoid muscle; Toe, Tai, thyro - arytenoid muscles, internal and external ; Taep, thyro-ary-epiglottidean muscle ; *, anterior cord of glottis. 140 PHYSIOLOGY CHAP. phonation with other laryngeal muscles. If we assume that during contractions of the muscles which stretch the vocal cords, the internal thyro-arytenoids which tend to relax them are also contracting, it is easy to understand the functions of the latter, which regulate the delicate changes in position of the larynx and vocal cords necessary in a gradual succession of tones that differ little in strength and pitch from each other. The feeling of tension in the larynx in singing with the chest register fully open shows that in singing all the laryngeal muscles may be more or less active, and that the formation of different musical notes, gradations of their pitch, and rise and fall in the scale, depend on the delicate co-ordina- tions of their activity, and par- ticularly on the internal thyro- arytenoids, which are in direct and intimate relation with the vibrating vocal cords, and have justly been named the " vocal muscles." III. The nerves to the larynx are the two laryngeal branches of the vagus (Fig. 96). The superior laryngeal certainly con- tains more sensory than .motor fibres ; the former are distributed by the rainus internus to the mucous membrane of the larynx FIG. 96. Laryngeal nerves from behind, and to the laryngeal muscles as (Sappey.)l, Superior laryngeal nerve; 2, its flU vp( , n f mnqmilflv cprmp rhp external branch ; 3, 4, 5, twigs to mucous HDrCS UlUSCUJdl SenbC , tilt membrane of larynx ; 6 filaments that con- mo tor fibres paSS through the nect lett superior and interior laryngeal nerves; 7, same nn the right: 8, 8, inferior ramUS externUS to innervate the laryngeal nerves; !>, branches to posterior ,1 -j -i ,1 i cricp-arytenoid muscles; 10, branch to Cl'lCO-thyrOld mUSClCS, partly alSO arytenoid muscle ; 11, 12, branches to crico- t-U c q r -irfemnirl rnnenlp aryteiioid and thyro-arytenoid muscles. B dry ten O. SOie. The inferior laryngeal, or nervus recurrens, is a purely motor branch which supplies all the muscles of the larynx except the crico-thyroid. As Claude Bernard observed complete aphonia in cats after extirpation of the spinal accessory, it was generally held that the motor fibres of the larynx came from the ramus interims (accessorius vagi) of this nerve, although they ran in the vagus. But the later work of Grabower (1890) showed that the motor branches to the larynx originate in the vagus, and more particularly from its lower roots. Section of both laryngeal nerves produces relaxation of all in PHONATION AND ARTICULATION 141 the muscles of the larynx, so that the vocal cords assume the position of elastic equilibrium as in the dead body. Under these conditions the glottis is moderately open, in the form of mi isosceles triangle, with the angle of the apex towards the attachments of the vocal cords on the inner surface of the thyroid. Contraction of the laryngeal muscles is therefore not required to hold the glottis open, as it must be in respiration. Laryngo- scopic observations show, however, that during quiet respiration when no voluntary influence is exerted upon the laryngeal muscles the glottis is more widely open than after death. In quiet respiration the glottis has an average width of 14 mm. in the adult man, and about 11 mm. in a woman, while on the dead subject it is about 5 mm. and 4 mm. respectively. This striking difference shows that in life the posterior crico-arytenoid muscle is kept continuously in a state of semi-contraction by the reflex or automatic tonic activity of a centre, which acts exclusively or predominatingly upon those fibres of the recurrens which innervate the abductors of the vocal cords. In many animals this tonic contraction of the abductors of the glottis varies with the rhythm of the respiratory muscles ; at each inspiration the glottis dilates, and at each expiration it is slightly constricted. In man, however, laryngoscopical observation shows that during quiet breathing these respiratory oscillations of the glottis do not occur in the great majority of cases (Sernon), and only appear during forced or dyspnoeic respiration (see Vol. I. p. 421). After section of the recurrent laryngeal nerve this respiratory rhythm ceases, and the cords take up the paralytic position of moderate separation which is seen after death. Section of one recurrent nerve alone deforms the glottis owing to disappearance of the tone of the muscles on the paralysed side, which brings the vocal cord of that side nearer the median line. This deformation or asymmetry of the glottis increases during forced respiration. The most important effect of section of the recurrent nerves is the aphonia first described by Galen. Total loss of the voice is not, however, constant. Haller, J. Miiller, Magendie, and others noted that many dogs continue to bark after section of the recurrent nerves, while others are still capable of emitting high notes, especially when suffering acute pain. Longet confirmed this fact, and found that the power of uttering high sounds was ob- served only in dogs a few months old, in which the tension of the vocal cords produced by the action of the crico-thyroid muscles, which are not paralysed by section of the recurrent nerves, suffices for the formation of high sounds, the inter-cartilaginous O t O portion of the glottis not being fully developed, owing to the almost total absence of the vocal processes, so that the cords are kept 142 PHYSIOLOGY CHAP. sufficiently close together, even when the arytenoid muscles are paralysed. Stimulation of the peripheral branch of a recurrent nerve brings the cord of the same side nearer the median line than does simple section of this nerve, while stimulation of both recurrent nerves causes the cords to come together and the glottis to close. So that normally the effect of the recurrent nerves which contain fibres for both the abductors and the adductors of the glottis is domiiiantly on the dilatators ; when, on the other hand, they are stimulated artificially the effect on the adductors of the glottis pre- dominates. The explanation of these phenomena seems to be as follows : Normally, only those fibres of the recurrent nerves which are connected with a centre intimatelv related with the bulbar b respiratory centre exert a constant tonic influence which maintains the inspiratory dilatation of the glottis ; when, on the contrary, the two recurrent nerves are artificially excited, all the laryngeal muscles concerned in voluntary phonatioii (except the anterior crico-thyroids) contract, and the contraction of the adductors consequently predominates. Section of the superior laryngeal nerve on one or both sides does not appreciably affect the glottis, but it makes the voice raucous and prevents the formation of high notes owing to the loss of function of the crico-thyroid muscles which keep the cords in tension. Longet demonstrated that the peculiar harshness which ensues on paralysis of the superior laryngeal nerve depends wholly on its external branch, which gives fibres to the crico- thyroid. Isolated section of this nerve produces the same effect as section of the whole nerve. He found, too, that the hoarseness of the voice can be made to disappear by bringing the cricoid artificially nearer the thyroid ; it is therefore obviously due solely to relaxation of the vocal cords. After cutting the internal branch of the inferior laryngeal, Longet could detect no appreci- able change in the animal's voice, and electrical stimulation of this branch produced no effect on the laryngeal muscles, though Magendie held that the ramus interims contains motor fibres for the arytenoid muscle. The centres of the laryngeal fibres, both those which maintain the laryngeal respiratory rhythm and those which control phona- tion, lie in the bulb or medulla oblongata. The centre for respiratory rhythm is closely connected with the respiratory centre, but is distinct and independent of it. We saw that the glottis, during quiet respiration, is kept constantly dilated by the tonic action of the recurrent nerves. Semon and Horsley, experimenting on cats, further showed that stimulation of the upper portion of the floor of the fourth ventricle produces marked widening of the glottis, but the thoracic respiratory move- ments continue ; the bulbar centre for the laryngeal respiratory in PHONATION AND ARTICULATION 143 movements can therefore be excited independently of the centre for the thoracic respiratory movements. Unilateral stimulation of this centre invariably produces bilateral effects, i.e. abduction of both vocal cords and widening of the glottis. The movements of phonation have also a separate centre in the bull). After separating the brain from the bulb, Vulpian was able renexly to elicit cries, as though the animal still reacted to the painful effects of stimulation. Semon and Horsley on stimulating the ala cinerea and upper margin of the calamus scriptorius, obtained energetic closure of the glottis, or adduction of both vocal cords, when the animal was not too profoundly narcotised. Since phonation is a voluntary act, perfected by practice, it is regulated by special cortico- cerebral centres which control the action of the bulbar laryngeal centres. The cortical centres in the Macacus monkey lie in the lowest part of the pre-central or ascending frontal convolution ; and in doo-s, in the lowest part of the pre-crucial part of the sigmoid gyrus. Electrical stimulation of this area, in either hemisphere, produces adduction of both vocal cords which lasts as long as the stimulation (Semon and Horsley). But if this is unduly pro- tracted the need of breathing causes a pronounced dilatation of the glottis, which momentarily interrupts its closure. In man the area of phonation and articulate language is far more developed ; it lies at the foot of the third frontal convolution, and acquires a much higher functional significance in the left hemisphere than in the right. This important subject will be discussed more fully in Chapter IX. Extirpation of both cortical speech centres does not paralyse the glottis in animals. After unilateral extirpation stimulation of the centre in the other hemisphere produces the same effect- closure of the glottis as was previously obtained. Unduly strong or protracted stimulation of the cortical centre of phonation may induce an epileptic attack which begins in the vocal cords, and then spreads to the muscles of the face, neck, and limbs. The scream with which ordinary epileptic attacks begin probably depends on the initial excitation of this centre in the cortex. IV. Ferrein (1741) was the first who attempted acoustic experiments on the excised larynx of recently killed dogs, by bringing the walls of the glottis artificially together, and blowing forcibly through the trachea. Johannes Miiller (1839) successfully resumed the study of the formation of sounds in the larynx of dead bodies. He fixed threads to the two arytenoid cartilages so that he could alter the width of the glottis by bringing them more or less closely together, and produced different degrees of tension in the vocal cords by pulling the thyroid cartilage forward by weights. 144 PHYSIOLOGY CHAP. The trachea was connected to a bellows, and the different pressures at which the air traversed the glottis were measured by a manometer. With this method Miiller carried out a long series of experi- ments which, though less valuable to-day owing to the laryngo- scopical observations now made on the living subject, were of epoch-making importance in the history of physiology. When the cords were brought together, their tension being unchanged, the laryngeal sounds became higher ; on moving the cords apart, the sounds were deeper. With increased tension of the cords, the note could be raised two octaves. With increased air pressure, the tension of the cords being unchanged, the strength and pitch of the laryngeal note could be raised a fifth. Lastly, he found that everything above the true vocal cords could be removed without altering the pitch of the sounds, and that the office of the accessory tube, the pharyngo-buccal and nasal cavities, was limited to altering the pitch. J. Miiller first constructed an artificial larynx with one or two membranous tongues of elastic material or arterial wall stretched across the mouth of a wooden pipe, 011 which he studied the mechanical conditions for the production of sound and of variations in pitch, strength, and timbre. But in his conclusions he fell into the same error as Ferrein, who first compared the vocal cords to the strings of a violin, and regarded their vibrations as the primary source of the sounds, the air blast as the bow which threw them into vibration, and the thorax and lungs as the hand that moves the bow. Miiller supported this theory, even after W. Weber had demonstrated by his classical experiments that the sounds of tongued instruments are essentially due to explosions of air, viz. to the periodic increments and decrements of pressure as it passes through the slit that lies between the vibrating tongues. Direct observation on the living subject of the position of the glottis during the formation of sounds was an immense advance in the study of the mechanism of the laryngeal sounds. Magendie (1816) was the pioneer in this research. He recognised that it is necessary for the emission of vocal sounds that the arytenoids and vocal cords be brought together, while the opening of the inter-cartilaginous glottis does not prevent the formation of sounds. His method consisted in exposing the glottis in dogs by an incision between the hyoid bone and thyroid cartilage. The same method was adopted by the surgeon Malgaigne (1831), who corrected certain errors in Magendie's observations, and showed that only the pars niena- branacea of the glottis is concerned in voice formation. The human glottis has also been directly observed in persons who have attempted suicide by cutting the throat above the vocal cords (Mayo, 1883, and others). Such observations confirm the Ill PHONATION AND AKTICULAT ION 145 fact that there is adduction of the vocal cords in the formation of sounds, so that the glottis assumes the form of a slit. The discovery of the laryngoscope by the famous singing- master Manuel Garcia (1854) made it possible to observe the human glottis directly under normal conditions, during the emission of laryngeal sounds of different pitch. The original laryngoscope used by Garcia was a simple metal mirror fixed to a handle at a suitable angle. After warming it gently over a spirit lamp to prevent the deposition of moisture, it was introduced into the isthmus of the fauces, so that a beam of light could be thrown on to the glottis, which thus becomes visible to the observer, who is looking into the mirror. The F I0 . 07. Examination of larynx by laryngoscope, u, b, two metal mirrors ; illuminated by a lamp, which is reflected from a mirror with a central aperture which is fixed in front of the observer's eye. latter may be directly illuminated by sunlight, which was Garcia's original method, or by a lamp at the side of the observer in front of which a large lens is placed to increase the strength of the illumination ; or by a lamp placed behind the shoulder of the person observed, which illuminates a concave mirror, and reflects a beam of light upon the mirror of the laryngo- scope. The observer watches the latter through a central aperture in the concave mirror (Fig. 97). Oertel employed a rapidly intermittent illumination by placing a Mach's stroboscopic disc in front of the lamp. It is then possible to follow the vibration of the vocal cords by direct vision. Szimanowsky obtained instantaneous photographs of the glottis during the production of the different tones by substituting a photographic apparatus for the eye of the observer. The whole of the laryngeal vestibule cannot be seen simultaneously on the laryngoscopic mirror, but by moving the mirror it is possible to see the different parts in succession (Fig. 98). Laryngoscopical observation shows that voice production is VOL. in L 146 PHYSIOLOGY CHAP. preceded by closure of the whole glottis, or of the pars mem- branacea (Fig. 98). 1 Now the emission of tones coincides with the rapid opening and vibration of the vocal cords by the blast of air forced through the glottis by the expiratory muscles. The vibrations of the cords are not limited to their narrow margins, but extend more or less through their entire mass. At the same moment the epiglottis is somewhat raised, particularly in high notes ; the aryteno-epiglottidean folds are stretched ; and the false vocal cords are drawn slightly nearer together and stretched, but they do not vibrate. At the same moment the whole larynx becomes more or less firmly fixed by the action of the extrinsic muscles (thyro-hyoid, sterno-thyroid, pharyngeal, etc.), and rises with the emission of the high notes, and falls with the low notes. During the production of high notes the tongue contracts energetically, the tip being drawn back, and the base lifted. The soft palate is raised towards the posterior wall of the pharynx, FIG. '.is. Positions of glottis previous to production of the voice. and the pillars of the fauces approximate and narrow its opening. In deep notes, on the contrary, the tongue contracts slightly and remains flat ; the soft palate is raised, and the pillars of the fauces move apart. But the most important of all these changes in the voice-producing apparatus are the vibration of the vocal cords and the form of the membranous glottis, which varies considerably with the pitch, intensity, and register of the voice. In order that the vocal cords should vibrate, it is necessary for the air- current passing through them to be at a certain pressure, sufficient to displace them from their position of equilibrium. In a case of tracheal fistula in a woman, Cagnard- Latour, by fitting a manometer into the mouth of the fistula, was able to measure the pressure of the blast of air during the production of sounds of different pitch. He found a pressure of 160 mm. H 2 necessary for sounds of medium pitch, of 200 mm. for high, and of 945 mm. for the highest notes. Griitzner obtained approximately the same figures in a young man on whom tracheotomy had been performed. Adduction of the vocal cords and narrowing of the glottis 1 This is not in agreement with some later observations. F. A. W. in PHONATION AND ARTICULATION 147 obstructs the passage of air, and increases the pressure in the trachea necessary for throwing the vocal cords into vibration. The loss of voice when the trachea is opened depends on the fall of the pressure of the expiratory air below the minimum necessary for the vibration of the vocal cords. But the pressure of the expiratory air would in itself produce no musical effect if the vocal cords were not thrown into a proper degree of tension by their tensor muscles. As we have seen, paralysis of the anterior crico-thyroid muscles makes the voice hoarse, and hinders the formation of high tones. The following general laws of the mechanism of the production of laryngeal sounds may be deduced from experiments on animals and observations on man : (a) The membranous glottis is the exclusive seat of voice production. Lesions of the vocal cords render voice production impossible. (b) The vocal cords acting as membranous tongues are thrown into vibration by the pressure of the expiratory blast, and vibrate synchronously with the air-current. The vibrations of the vocal cords certainly produce a note, but its intensity is very low, hardly to be compared with that of the tones arising from the larynx. The true sounding body is the air, but the vibrations of the air are determined by the vibrations of the vocal cords. (c) The vibrations of the air which are started in the glottis are transmitted to the mass of air lying below as well as above the vocal cords. The vibrations of air in the windpipe, bronchi, and lungs are communicated to the thoracic wall, and can easily be detected by applying the hand to the chest. This resonance of the chest must certainly produce increased intensity of the laryngeal notes, though it is difficult to appreciate its importance. (d) The resonator proper consists of the parts lying above the vocal cords, the laryngeal vestibule, and upper portions of the pharynx, mouth, and nose. It is on the vibrations of the air in this tube that the special qualities which characterise the human voice depend. The necessary coincidence between the vibration of the vocal cords and that of the air in the resonator is obtained by the varying tension of the walls, and the alterations in length, breadth, and shape of the cavity, by upward and downward move- ments of the larynx, and alterations of the tongue, soft palate, pillars of fauces, cheeks, and lips. (e) Moro-agni's ventricles are of little importance as resonators, but they give space for the free vibration of the vocal cords, and produce a secretion by which the laryngeal mucous membrane is kept moist. (/) The false vocal cords can alter the form of the laryngeal vestibule by their approximation towards the middle line, and thus change the character of the tone produced by the vibrations 148 PHYSIOLOGY CHAP. of the true vocal cords. It is doubtful whether they can act as dampers by dropping to the level of the true vocal cords. (g) The function of the epiglottis in voice production is also uncertain. But the positions it takes up must certainly contribute to altering the character and quality of the voice. (A) Abundant proof of the great influence on the character of the voice of the different forms which may be assumed by the pharyngo-buccal cavity owing to the various positions of the soft palate, tongue, and lips, will be shown when we come to discuss language and particularly the formation of the vowels. V. The sounds produced by the human voice are all comprised in the interval of three and a half octaves, or a little more, but no one individual possesses such an extensive vocal range. Few indeed, and only after long practice, succeed in acquiring a range of even three octaves, and in these rare cases the end-notes of the scale are deficient in strength and clearness. The average compass of a well-developed singer seldom exceeds two octaves. The range of voice within the limits of the two octaves depends principally upon the dimensions of the larynx, which differs considerably in the sexes. In either sex musicians dis- tinguish three different varities soprano, mezzo-soprano, and contralto, for the female voice ; tenor, baritone, and bass, for the male voice. The soprano voice is about an octave higher than the tenor ; the contralto about an octave above the bass. A few notes between G and F of the third octave of the piano are common to baritone and soprano. The table, p. 149, shows the range of voice usually met with in different singers. Opposite each note is the number of simple vibrations which correspond to it according to the international concert pitch a 1 = 435 (see Chap. V. of Vol. IV.). At puberty there is a rapid development of the larynx which alters the range of the voice. Owing to the elongation of the cords the voice generally falls an octave in the male and about two notes in girls. A boy's soprano voice usually changes to a tenor, an alto to a baritone. While changing, the voice becomes harsh, uneven, and guttural ; this is due to a transitory hyperaernia and swelling of the vocal cords which accompanies the growth of the whole organ. In eunuchs the voice of childhood is usually retained, but it becomes stronger and fuller. The upper limit of the vocal tones is reached at about the age of eleven years. Children's voices may reach the highest notes of the fifth octave, which are very seldom attained by the highest sopranos. The range of a child's voice varies, according to Engel, from three whole toues to two full octaves. Paulsen (1895) found on examining a large number of children that the compass of the III PHONATION AND ARTICULATION 149 voice in the sixth year was about an octave, by eleven it was twice as great, by fourteen still more extended. Girls' voices reach their widest range at the thirteenth, boys' voices at the fourteenth year. In advanced life the upper tones gradually weaken, and ultimately disappear. A soprano voice nearly always turns into a mezzo-soprano, and a tenor often becomes a baritone. These changes, unlike those of puberty, come on gradually, and are due to loss of elasticity, caused by calcification of the laryngeal a 1 > F' e 1 TENOR O H d 1 b a g f ; 03 03 e po c B s A G F v 1:1 u- b 2 lUO^ 976 5 o Q*" (\ j a" O t \J "^ g 2 775 f' 2 690 ~^y J^r^ e 2 d 2 651 580 '5 "5 g S3 CB "d c 2 517 CS! N > ,j 488 O 9 fej a 1 T:OO 435 387 5 tej H W Gfi o ^d &o f" 1 Qir KT^, l> e 1 d 1 O^t^ 325 290 5 F) x' K* s !2) O L b 244 ^^ a 217 5 g 193 r iV '^^ f 172 5 e 162 5 i 1 AK c 1-1O 129 122 103 96'5 86 81 cartilages, which begins about middle age, and increases with old age. The thyroid ossifies first ; then the cricoid ; much later the arytenoids. In old age the compass of the voice shrinks, and its resonance diminishes and becomes tremulous, owing to retrogressive changes in the neuro-muscular apparatus of the larynx and the expiratory muscles. Voices differ not only in their relative position in the scale, but also in quality or timbre. Just as it is easy to distinguish the tone of a basso concerto from a violoncello, and that of a clarinet from an oboe, so a practised ear can distinguish a bass from a baritone or tenor, and a contralto from a soprano, even when they are singing the same notes. Generally speaking, " bright " voices can be distinguished from 150 PHYSIOLOGY CHAP. " dull " voices, while others are " full," i.e. of medium, normal timbre. With bright timbre the larynx is raised, the resonance cavity is short, the mouth wide open, the glottis constricted ; with dull timbre the larynx is lowered, the resonance tube long, the oral opening constricted, the glottis rather wider. The difference in quality is most distinct if the same note is sung with the two vowels A and U. It is an important fact that the voice can be varied in the same individual by altering the position of the vocal organ. When the scale is sung from the lowest to the highest note the voice retains the same quality between certain limits, the pitch only being altered. But in rising gradually to higher notes the voice is not only raised hut also changes in quality. The voice is usually divided into three registers, in analogy with the registers of an organ : these are the chest register, the middle register, and the head register, or falsetto. A B Fie. 9; i. Aperture of glottis during emission of low notes (A), and liigh notes (B), with chest register. Laryngoscopical observations show that each register corre- sponds to a particular position of the larynx, which is constant for all notes comprised in that register, the tension of the cords alone being altered according to the height of the notes. In passing from one register to another the position of the larynx changes abruptly. The exact positions of the larynx in correspondence with the different vocal registers is a subject of discussion among the laryngologists. It is generally admitted that in the chest register the vocal cords vibrate over their whole length ; the aperture of the glottis is elliptical and wide or narrow, according to the pitch of the sounds ; the intercartilaginous portion of the glottis is also more or less widely open ; and, lastly, the vibrations of the cords, which can be clearly seen by the laryngoscope, are transmitted to the chest walls, hence the name of " chest " register (Fig. 99). In singing with a head register, or falsetto, the vocal cords are shorter and narrower; the intercartilaginous portion of the glottis is completely closed ; the membranous glottis, on the contrary, is Ill PHONATION AND AETICULATION 151 open, Itut only in the middle part, where it forms a comparatively wide space through which the expired air can readily escape (Garcia) ; this produces greater resonance in the pharyngo-huccal cavity, and vibrations of the cranial bones (hence "head" voice); the false vocal cords are tensely stretched, and approach the true cords, or, according to some authors, actually come into contact with them; the vibrations of the cords are only visible in the most forward part of their free edges (Fig. 99)- Other observers., on the contrary, state that in the head register the glottis is open in its entire length, although it is reduced to a linear slit (French). Possibly all singers do not employ the same laryngeal mechanism in the different registers. Among the contradictory interpretations of the fundamental differences between the chest register and the head register, that of Lehfeldt (1835) found wide acceptance, and was adopted by Fit;. 99a. Aperture of glottis during emission of lii.^h notes (C), with chest register ; and of highest notes (D), with head register. (Mandl.) Job. Miiller and many other physiologists. He assumed that in the falsetto voice only the free edges of the vocal cords are thrown into vibration, while in the chest voice the whole of the cords vibrate. Bonders held that in the chest register the musculus vocalis (internal thyro-aryteuoid), being contracted and tense, participates in the vibrations of the cords, and that its weight drags down the pitch. In the falsetto register, on the other hand, as the musculus vocalis is relaxed, the vibratory movement is con- fined to the edges of the cords; the pitch consequently becomes higher owing to the reduction of the vibrating mass. The relaxa- tion of the musculus vocalis accounts for the comparative breadth of the glottis and the more rapid absorption of the reserve air, as well as the more marked fatigue and greater vibration of the head. After Oertel's laryngoscopical observations (1882) by Mach's stroboscope method (intermittent illumination of the glottis) this theory lost ground, and was gradually replaced by another, according to which, when the falsetto voice is produced, nodal lines are formed in the vocal cords parallel to their free borders. The increased height of the falsetto notes is therefore due, not to 152 PHYSIOLOGY CHAP. decreased depth and breadth of the vibrating portion but to the subdivision of the vocal cords into two vibrating sections, by a nodal line which runs parallel with their edges. When the musculus vocalis is tense and contracted like the edge of the cord in which it is embedded, it vibrates with them, and this prevents the formation of nodal points, and the chest voice consequently results. The change from the chest register to falsetto is on this new theory due principally to the relaxation of the musculus vocalis. This change is usually easier and less apparent in women than in men. The singer's art is largely directed to equalising the resonance and timbre of the voice in different notes of the scale, so as to pass smoothly from one register to another. Many important exercises, again, aim at facility in altering the strength of a tone without changing its pitch i.e. at singing crescendo and decrescendo. The strength of the laryngeal notes depends on the amplitude of the vibrations of the vocal cords, due in its turn to the pressure of the expiratory current. But when the position of the glottis and the tension of the vocal cords remain unchanged it is possible by increasing the pressure of the air-blast to raise the height of a tone a fifth ; consequently, to produce a crescendo on the same note there must be a compensatory alteration of the vocal cords in order to preserve the same number of vibrations. Compensation in the opposite direction is necessary to produce a decrescendo. These compensations are obtained by decrease or increase of the tension in the vocal cords (relaxation or contraction of the crico-thyroid muscles), or by increase or decrease in the mass of the vibrating parts (contraction or relaxation of the musculus vocalis). Laryngo- scopical observation confirms sometimes the one, sometimes the other interpretation. Both are difficult adjustments, which are easily executed even by experienced singers, and are only learned by long practice. " Expression " depends on these modulations of the strength of a note without altering its pitch. No musical instrument is better adapted than the larynx to give expression in singing, for the larynx is a living instrument, brought into direct relation with the emotional and motor centres of the performer by means of its sensory and motor nerves. VI. The power of utilising the larynx as a musical instrument is not common as a natural endowment, not only because few people possess the range, volume, and quality of voice that is indispensable for singing, but also because many people do not understand the right use of the larynx as a musical organ, though every one is more or less capable of using it as an organ of speech. In former days, particularly towards the end of the eighteenth century, the difference between the singing voice and the speaking ni PHONATION AND ARTICULATION 153 voice was much discussed. The voice used for speaking is commonly held to be different from that used in singing. But this is a mistake. In compass the only difference is that the tones used in speaking are generally comprised within half an octave, while those employed in singing extend over two octaves. A more important difference lies in the fact that in speaking many sounds (consonants) are used, so that the tones and the intervals between the tones are not so plain as in singing. There are not therefore two different voices but rather two modes of using the same voice ; dramatic recitation and lyrical declamation stand midway between speaking and singing. Owing to these differences between the singing voice and the speaking voice, mistakes in the correct pronunciation of words, and in the true intonation, modulation, and accentuation of phrases and periods, are often tolerated in speaking because they are less offensive ; in singing, on the contrary, false intonation and wrong notes produce a sense of discomfort which is unbearable to the trained ear. Longet distinguishes three different causes for the very common failure to sing in tune, which amounts, in some cases, to a total incapacity : 1. The individual " has no ear," i.e. his sense of hearing is not acute enough to enable him to distinguish between the different tones. No one with this defect can sing. In fact, auditory sensations are at least as necessary to the adequate function of the organ of phonation as are visual and tactile sensations in the movements of the body and limbs. The actual development of the voice is dependent on the functioning of the organ of hearing ; dumbness is associated with congenital deafness, and is almost always due to lack of auditory sensations and not to defects in the voice-producing apparatus. 2. The individual does not sing well because his tone-memory is defective, i.e. notes do not leave clear and distinct traces in his memory, from which he can easily revive the corresponding tones. He is quite capable of singing in tune to an instrument, or with other true singers, but when left to himself he cannot hit or keep up the correct note, and is aware that he sings out of tune. In these cases the musical memory can be developed gradually by careful training, so that the faults in singing are reduced or disappear. 3. The individual cannot sing correctly because his larynx cannot produce true notes in response to volitional impulses. l A his not uncommon peculiarity is due not to anomalous conformation of the larynx, but to some imperfection of the nervous mechanism by which the tactile and muscular sensations are transmitted centripetally to the centre, or the motor impulses centrifugally to the laryngeal muscles. 154 PHYSIOLOGY CHAP. The ability to sing depends not on the construction of the larynx, but on the possession of the proper nervous mechanism, by which both the auditory sensations and the tactile and muscular sensations are capable of guiding the volitional impulses in such a way that these are promptly and accurately transmitted to the corresponding muscles. Congenital delects in these nervous mechanisms can also, to some extent at least, be overcome by long and steady practice, just as a violin player is able in a wonderful way to cultivate the nervous mechanisms which move the muscles of his hands. A perfect singer is not born, but trained, as a concert player is developed after long practice ; but of course in either case a favourable congenital predisposition is indispensable to the mastery of the art. It is possible by minute and careful analysis of the voice to detect comparative correctness or faults of its formation, as well as of the different notes of the musical scale which it is able to produce. A voice is " true " when the vibration numbers of its notes correspond exactly to their place on the scale ; it is " false " when the vibration numbers are greater or less than those of the notes. Rising (crescenti) voices are the more usual ; falling (calandi) voices less common, except in a singer whose voice is worn out. It is often the case that certain notes are false, while others are in tune. Minor keys are more difficult to sing correctly than major keys. Hen sen by Konig's manometric flames, Kliinder by the phonautographic method which records the vibrations of the original tone and the note sung in unison with it, made interest- ing researches on the accuracy of the voice. They discovered that it is very difficult to hold a note with a constant number of vibrations for a given time. Owing to positive or negative variations in the tension of the vocal cords, the truest voices fluctuate in vibration frequency above and below the normal mean. The mean error for any particular note is not more than 0'35 per cent ; but in holding on a note, or in singing crescendo or diminuendo it may amount to 1*54 per cent, owing to the difficulty of compensation, even in the larynx of a professional singer with long practice, in forming and holding on the notes. This slight natural imperfection of the voice in keeping on the notes is due not to want of ear, but to the larynx and its vocal muscles (thyro-arytenoid muscles), which are incapable no matter how much they are exercised of keeping up the exact, degree of tension required for the several notes of the scale, without slight periodic variations. The slight imperfections in the formation and emission of tones, perceptible even in expert singers, depend more on the ear than on the larynx, and are due to defective sharpness in the memory traces of the respective tones. VII. Articulate language is limited to man, and is one of the in PHONATION AND AETICULATION 155 highest faculties by which he is distinguished from the rest of the animal kingdom. From the physical point of view it consists in a series of special expiratory and sometimes inspiratory sounds produced in the resonance cavity of the pharynx, mouth, and nose, which may be, but need not be, combined with the laryngeal tones. In talking aloud the laryngeal tones are combined with the pharyugo-buccal sounds into articulate speech, but in whisper- ing, i.e. speech without voice, there are no laryngeal tones. It is even possible to speak sotto voce without a glottis, as after loss of the larynx by surgical operation. The resonator is therefore of fundamental importance to the formation of words, while in singing it is of secondary importance. The vocal apparatus has rigid parts, such as the hard palate and nostrils, and mobile parts, such as the lips, tongue, and soft palate. It is the changes in form of the resonating cavity due to the movements of these soft parts which give rise to the different articulate sounds. Sometimes these changes do not interrupt the continuity of the vocal instrument ; at other times they constrict or close it, rendering the escape of the expired air difficult or impossible. This constriction or occlusion may occur in certain regions, as in the glottis, in the isthmus of the fauces, between the soft palate and dorsum of the tongue, between the hard palate or alveolar arches and the tip of the tongue, or at the lips. These are known as the regions of articulation. The number of elementary sounds which in different combina- tions build up a language or dialect is limited, but it varies considerably in different languages and dialects. The sounds are distinguished as vowels and consonants in the grammar of every language. The value of this distinction has been much discussed, and many erroneous definitions have been made, showing that there cannot be any absolute difference between vowels and consonants, by which they can invariably be recognised. One group of consonants, in fact, has the character of vowels, and these sounds are frequently referred to as the semi- vowels. Speaking generally, it may be said that the vowels are laryn- geal sounds, which assume their specific character in the resonating cavity owing to the predominance there of one or two tones of a given pitch. The consonants, on the contrary, are sounds which are almost invariably formed in the resonating cavity, and may or may not be combined with laryngeal tones. The vowel a (ah) is often regarded as the foundation from which all the other vowels may theoretically be derived. It does in fact represent a laryngeal sound as little modified as may be by the resonating cavity, which remains as widely open as possible. C. Hellvvag in his Deformatione loquelae (1781) distinguishes three typical vowels, which produce the maximal difference to the ear. These three are the only vowels found in hieroglyphs, and in 156 PHYSIOLOGY CHAP. Indian, Gothic, and Arabic writing. They are i (ee\ a (ah), u (00). All other vowels used in modern languages and dialects are inter- mediate, and are derived from these three typical vowels. The system of distinct vowels used in different languages and dialects is represented in the following diagram of Briicke (after Hellwag) : A A e A E a A oe O E E O I I u U 1 U The angles of the triangle are occupied by three typical vowels ; at the sides and within the triangle are the intermediate vowels, many of which are not represented in written language by special signs. The mouth takes up a definite position for each vowel according as it is pronounced aloud or whispered. These positions of course differ most for the three typical vowels. As shown by Fig. 100 the larynx is most raised at i (ee), the lips are drawn back and the oral aperture is widened transversely, the teeth are brought close together, and the tongue is raised from the floor of the mouth and brought near the palate so as to leave only a narrow opening for the air. With u (oo), on >the contrary, the larynx is lowered as far 'as possible, the oral aperture is brought forward and constricted, the lips forming an almost circular opening, owing to contraction of the orbicularis, and the tongue is dropped towards the floor of the mouth and raised behind towards the soft palate. Lastly, with a (ah) the vocal tube has a length intermediate between i (ee) and u (oo), the larynx is least displaced, the mouth is wide open and rounded, and the whole tongue is drawn back towards the floor of the mouth so as to form a funnel-shaped cavity. Certain authors distinguish a (ah,) as pharyngeal, i (ee) as palatal, u (oo) as velar (Fig. 100), but these terms have little physiological value. The phonic characters of the different vowels depend essentially on the position and special form of the whole resonance cavity, and not merely on the different regions in which it becomes constricted. In the intermediate vowels the different movable parts of the resonator take up intermediate positions : e (eh), e a (e = let), a e (a = hat) are formed between i (ie) and a (ah) ; o (oh), o a ( = or), a (6 = shot) between u (oo) and a (ah). The pure vowels are pronounced with the soft palate raised, and the nasal cavities more or less completely closed (Fig. 100). When the soft palate is not raised the vowel has a nasal sound, and if the nostrils are closed this is intensified, because the air in the nasal cavity is better able to vibrate in unison with the air of the pharyngo-buccal cavity. Ill THONATION AND AETICULA.TION 157 In pronouncing the fundamental vowel a (ah), where the oral aperture is maximal, the soft palate is least raised (Czermak) ; 011 dropping from a to the end-vowels u and i the soft palate is raised and the nasal cavity more perfectly closed in proportion as the oral cavity is constricted. This agrees with the fact that a, o, e are easily rendered nasal, which is difficult for i and u. The complete series u (oo) . . . a (oh) ... i (re) corresponds to FIG. 100. Shape of oral cavity in the production of the three fundamental vowels (Grutzner.) the progressive rise in pitch when the vowels are pronounced with the ordinary breath. Although the several vowels can be pro- nounced on different musical notes it is very difficult to enunciate u clearly in the highest soprano, and i in the deepest bass. U... i really represent the vowel -limits. In uttering these the canal is most constricted ; at u the opening of the lips is narrowest, at i the oral cavity is smallest, owing to the rise of the tongue which divides it into two. Beyond these limits the character of the vowel sounds is obscured, and approximates to that of the consonants. 158 PHYSIOLOGY CHAP. The fact that the vowel limits are reached when the resonating cavity is most restricted, and blocks the passage of the air, agrees with the fact that it is impossible to sing u and i very long and loud like the other vowels. According to Wolf u can only be heard distinctly at 280 paces, i at 300, while a is quite audible 360 paces distant. On the other hand the vibrations of the walls of the resonance cavity produced by the vibration of the air is maximal with the vowels u and i, minimal with a. On stopping the ears, u and i sound very loud to the ear, a much less so. On applying the palm of the hand to the head, the cranial bones are felt to be vibrating at u, still more strongly at i, and not at all at a, e, o. This fact has been utilised in teaching deaf mutes to pronounce i, which they find the most difficult. The diplitliongs should not be confused with the intermediate vowels. Grunmaeh erroneously regards a, u, o as diphthongs ; in our opinion it is more correct to define them with Goidanich, as organic alterations of the normal vowels. All the intermediates represent special vowel sounds due to special positions of the phona- tory apparatus. In diphthongs, on the contrary, as Brticke noted, there is a rapid passage from the position of one vowel to that of the next, the first being almost always accentuated. In the diphthongs au ( = how), ai ( = high'), etc., the first vowel functions as the sonant, the second as a consonant. VIII. The formation of the different vowels is thus funda- mentally due to the special positions assumed by the pharyugo- buccal cavity acting as a resonator, and we next have to determine the physical nature of the vowels, i.e. the partial tones of which they are composed, and the relations of intensity on which their timbre or quality depends. This problem is more complicated than appears at first sight. Generally speaking, the sound of any musical instrument is a compound, in which one fundamental tone, the deepest and strongest, and several harmonic over-tones, weaker in proportion as their pitch is higher, can be distinguished. But this theory is not applicable to the human voice, especially not to the complex sounds in which we can distinguish the specific characters of the different vowels. This is evident from the following facts : (a) The different vowels can be recognised even when they are whispered, that is, uttered without any laryngeal voice. (&) The different vowels can be uttered either in speaking or singing to the same musical note. (c) Any vowel may be sung to different notes of the scale, and recognised for each note. These three points suggest that the complicated laryngeal sounds acquire their special vowel character from the pharyngo- buccal cavity, which acts as a resonator, and reinforces certain in PHONATTON AND AETICULATION 159 partials, while others are excluded, according as it assumes the position for saying or singing one or other of the vowels. The earliest experiments on the physical nature of vowel tones were made by Willis (1829), and Wheatstone (1837), who con- structed a theory of vowel tones which remained unnoticed for twenty years. Douders (1857) first showed clearly that the cavity of the mouth for different vowels is tuned to different pitches. It forms a resonator which can be tuned to the different sounds characteristic of different vowels. In order to ascertain the tones which characterise the several vowels, Donders cut out the laryngeal sounds which usually accompany them, by whispering them one after the other ; under these conditions sounds are produced in which the ear can re- cognise a definite pitch in the dominating tone, which varies for the different vowels, but is approximately constant in all persons of the same sex and age. These sounds are caused by the air-blast in the oral cavity, where the tones are reinforced so that it is possible to recognise the different vowels, although they are w r eaker than the normal voice. In speaking or singing the sounds given out by the resonator are associated with the laryngeal sounds, and the specific partials of the different vowels are greatly reinforced, and give the laryngeal sounds their characteristic timbre. In his classical work Die Lehre von den Tonempfindungen Helmholtz placed his theory of vowel-tones on a strict scientific basis, and extended Bonders' hypothesis. According to Helmholtz " the vowels of speech are in reality tones produced by membranous tongues (the vocal cords) with a resonance chamber (the mouth) capable of altering in length, width, and resonant pitch, and hence capable also of reinforcing at different times different partials of the compound tone to which it is applied." J In order to determine what partial tones of the mouth cavity give their vowel character to the laryngeal tones Helmholtz employed a more accurate method than that of Donders. He struck tuning-forks of different pitch, and held them before the open mouth arranged for the pronunciation of each vowel in turn. The pitch of the fork which then sounded loudest gave the proper tone to which the mouth was tuned. Helmholtz found that the pitch of the vowels rises progressively from u (oo) to a (ah) and from a (nil} to i (ee). In u, o, a he only distinguished a single note ; in a e , e, i, o c , u' two different notes, because the mouth cavity is divided in the pronunciation of these vowels by the rise of the tongue (Fig. 101). He maintained that the vowel notes are the same in men, women, and children. The least change in the position of the oral cavity modifies the quality of the tone, and thus gives rise to the intermediate vowels which are so common 1 Sensations of Tone, Helmholtz, tr. Ellis from 3rd ed., p. 153, 1875. 160 PHYSIOLOGY CHAP. in the Franco-Italian and Anglo-Saxon languages. This fact, according to Helmholtz, explains why the vowel tones as fixed by Bonders and also by Merkel, Auerbach, Krinig, and other n f : 9- r > *- f- v, VL * rrr\r i f vy 1 f 9 y d A A * E r < i '. [) T ri FIG. 101. Pitch of vowels according to Helmholtz. later observers differ in certain respects from those which he obtained. He finally concluded that " vowel qualities of tone consequently are essentially distinguished from the tones of most other musical instruments by the fact that the loudness of their partial tones FIG. 102. Kcinig's apparatus for illustrating the quality of vowel tones by a manometric flame. Above, the figure shows a section of Konig's manometric capsule and the rubber membrane which divides the stream of gas from the air of the tube that is sung into. does not depend upon the numerical order, but upon the absolute pitch of those partials." l Helmholt/ attempted to demonstrate the correctness of his view by synthetically combining the tones of certain tuning-forks 1 Page 172, Ellis' tr., q.v. Ill PHONATION AND ARTICULATION 1G1 in his well-known vowel apparatus. He obtained the sound of u (oo) by combining the fundamental tone I 1 \vith/& 2 ; the sound of u (oh) by combining the same fundamental tone with & 3 ; the sound of a (ah) by combining b l with I 4 . He was, however, unable to repro- duce the highest tones of e (ch) and i (re) by the tuning-forks. The vowel tones were also studied by Ko'nig with the aid of his mauometric flame apparatus (Fig. 102). This method is very useful in analysing the complex nature of the vowel tones, since it shows the difference in the form of sound-wave not only for the IT Fio. 103. Flame pictures of the vowels a (ah), o (oh), u (oo), in three different keys. separate vowels, but for the same vowel at a different pitch. The duration of the wave-periods is, however, the same for the different vowels sung to the same note (Fig. 103). The alteration of the form of the wave while the period is constant must be due to the superposition of tones developed in the mouth, characteristic of the vowels upon the tones emitted by the larynx. But it is not possible from the simple wave-form shown by the flames to determine the number, pitch, and strength of the partial tones from which the different sung vowels result. Hallock (1896) employed a method founded on that of Ko'nig. He connected eight resonators in harmonic series with as many Konig's man om etric capsules, sang a vowel in front of them, and then photographed the reflection of the flames in a mirror. From VOL. Ill M 162 PHYSIOLOGY CHAP. these photographs the partials present in any vowel tone within the range of the resonators could be detected. Edison's invention of the phonograph (1877), and its perfection by himself, by Graham Bell and others, reopened the whole question of vowel tones, to which Fleeming-Jenkm, Ewing, Hermann, Hensen, Pipping, Boeke, Lloyd, M'Kendrick, and others, have contributed in the controversy. The chief question has been whether each word has an absolute or a relative pitch, and whether on changing the prime tone to which a vowel is sung, its principal over-tones change too, as is the case with ordinary musical instru- ments ; or whether the height of the partial tones which give the vowel its character always remains the same, independent of the pitch of the prime tone to which it is sung. The method employed for solving this difficult problem con- sisted in taking graphic tracings of the vowel sounds, or vowel phonograms, and then analysing the complex curves of these sounds into the simple curves of the component tones by means of Fourier's theorem. Bonders (1870) first applied the phonautograpli of Leon Scott to the investigation of vocal phonograms. In 1878 Fleeming- Jenkin and Ewing employed Edison's tin-foil phonograph for this purpose, although it was too imperfect to produce the sounds of all the vowels clearly. These authors came to the conclusion that both relative and absolute factors entered into the composition of the vowels an intermediate theory already accepted by Auerbach and by Helmholtz in later editions of his book. Hermann took up the subject about 1890, by the improved wax-cylinder phonograph, and photographed the curves by a beam of light, reflected from a small mirror attached to the vibrating disc of the phonograph. The curves thus obtained, representing the wave forms of the vowel tones, were then analysed by Fourier's method. Hermann found that the phonograph only reproduces the sung vowels accurately when the cylinder rotates at the same rate as that at which they were recorded, and that the quality of a vowel varies considerably with the rate of the cylinder. He maintains the fixed-pitch theory, and states that there is for each vowel a characteristic tone which he terms the formant. He further assumes (and in this his theory differs from all others) that the formant need not necessarily be a partial tone of the fundamental. The pitch of the formant may vary considerably ; with the same prime it may vary in certain cases as much as several semitones. Fig. 104 shows in musical notation the pitch of the vowel according to Hermann. Pipping's results in the main agree with those of Hermann. He collected and analysed the vowel curves by means of Hensen's gramograph. Ill PHONATION AND AKTICULATION 163 Sauberschwartx with Griitzner (1895) investigated the subject by an ingenious application of the laws of the interference of sounds. The vowels were sung into the mouthpiece of a long tube, to which other short tubes of definite length were attached. By closing the outer end of certain of these tubes various partials could be extinguished by interference, and the listener at the other end of the tube observed an alteration in the quality of the vowel. Sauberschwartz, generally speaking, supports Hermann. Later researches by Boeke, M'Kendrick and others added new facts to the analysis of vowel sounds. At the Fifth International Physiological Congress at Turin, Hensen stated that the resonance tones of the oral cavity arranged for the pronunciation of different vowels are variable within certain limits, as had been established by Pipping. But he also showed that the pitch of the laryngeal tones produces a rise in the oral resonance tones. At a they may rise from 940 to 1175 ; at o 1 ! 1 j j L J i i -# ff j j ~]r * i J 5^ ^ ln\ i v Is * t -A- f u o FIG. 104. Pitch of the vowels according to Hermann. from 498 to 552 double vibrations. The problem of vowel sounds is therefore more complicated than was supposed, and still awaits its final solution. In conclusion, Bonders' theory, which assumes that the oral cavity is tuned for each vowel to a tone of fixed and unalterable pitch, whatever the fundamental laryngeal note to which it is sung, is certainly too restricted. Each vowel, however, undoubtedly has one or more predominating partial tones, formed by the oral cavity, on which the specific character of that vowel depends. Since the form of the mouth varies with the individual and the race, and the positions it assumes in different dialects and even in different individuals in the pronunciation of the several vowels are not and cannot be identical, it is easy to see why the formants of any vowel are not identical in all cases. They approximate, however, in certain common characters, by which it is possible to identify a vowel, however differently it may be formed by different individuals. It is also certain that the resonating cavity varies very little when a musical scale is sung to a single vowel. The ear is always able to recognise the vowel sung, whatever its pitch ; each vowel, however, has a special register in which its quality is best ; the soprano is best adapted to the 164 PHYSIOLOGY CHAP. end- vowel i, the bass to the end-vowel u. Finally, the clearness and purity of vowel-formation varies considerably in different languages. It is generally admitted that the sung or spoken vowels are purest in the Italian tongue, and least so in English. Italians, moreover, prefer the fundamental vowel sounds a, i, u, which He at the extremes of the natural system ; they also admit the middle vowels e and 6, b and 6 (open and closed), but reject all other intermediate vowels. The English, on the other hand, not only prefer these, but have further developed a whole series of vowels characterised by imperfect formation, which makes them very difficult to recognise and classify. IX. 1 It is difficult to draw up any rational classification of consonants. The most satisfactory would be based on their objective, physical nature, but we have no means for the physical analysis of elementary consonant sounds, such as enables us to determine the physical nature of musical tones. Hermann found himself at a loss after some introductory experiments. We can only fall back on the physiological classification, which is founded on the mode of producing the consonant sounds and their subjective acoustic character. Hermann made a primary division of consonants into two groups, voiced and voiceless, according as the sounds formed are accompanied by laryngeal tones or not. Voiced consonants are much more numerous than voiceless consonants ; they are sub- divided into semivowels, or liquids (which can function either as consonants or vowels, and can be pronounced alone, independent of other vowel sounds), and sounding consonants. It is indispensable to the perfect formation of vowel sounds that the pharyngeal cavity should be closed off from the nasal fossae. When this does not take place, the quality of the vowels alters and they become nasal, since the expiratory current passes through the nose as well as the mouth. On closing the nostrils the nasal character is intensified and may be more prolonged. This nasal quality characterises the French language, but is also present in Italian, Spanish, and all other languages. The nasal vowels an, en, 6n represent the transition between the vowels and the liquids or semivowels. The semivowels are in, n, ng, I, and r. They have the character of vowels because they are always uttered with the voice, i.e. they are accompanied by vibrations of the glottis (except when whispered), and sometimes carry the accent, when they function as pure vowels. They approximate to consonants because they are pronounced with the mouth partly or entirely closed, and in the majority of cases the accent does not fall on them, so that they mostly play the part of consonants. 1 This section has been considerably abridged from the Italian text, which contains more detail than is required by the physiological student. ED. Ill PHONATION AND ARTICULATION 165 The sounds in, n, ni". (Luciani and Baglioni.) FIG. 106. Articulation of gna. (Luciani and Baglioni.) Impression left by the tongue stained by cocoa powder previous to articulation. mation of the dorsum of the tongue to the soft palate, either more to the front (when preceded by e and i as in Engel, thing} or more to the back (if preceded by a and o, as in Wange, long]. The semivowels / and r are distinguished from these nasal sounds by the fact that their resonance comes from the mouth, and not from the nasal cavities which are closed by elevation of the soft palate. Several kinds of I can be distinguished according to the seat of articulation, the most usual being formed by bringing the tip and lateral edges of the tongue into contact with the alveolar and dental arches, while the air escapes through two lateral openings between the premolars (Fig. 107). M i 166 PHYSIOLOGY CHAP. This is the so-called alveolar I used in most European languages. Besides this there is also an apical I, which is easily formed by applying the tip of the tongue to the hard palate, above the alveolar border. This is the / of the English will, well, hall, etc. It is also found in Norwegian and Polish. r differs from / because the tip of the tongue is rapidly and intermittently applied to the palate, which gives a vibratory character to the laryngeal tone. The labial r (brr) is not in written language, but is often formed by children, and is also an interjection e.g. to express cold. In Germany coachmen use FIG. 107. Articulation of Za. (Luciani and Baglioni.) FIG. 108. Articulation of glia. (Luciani and Baglioni.) it to stop their horses. Gael states that it occurs in the language of the savages on an island near New Guinea. The most common forms of the anterior and alveolar-palatal are formed by vibrating the tip of the tongue against the dental and alveolar arches, and by applying it in the apical position to the hard palate. The velar or uvular r, formed by applying the dorsum of the tongue to the uvular portion of the soft palate, is less vibrant, and is known as the French r because it is characteristic of that language. Lastly, there is a laryngeal r caused by the tremulous closure of the glottis, with a deep, soft tone as in the English girl, bird, or the higher and harsher gli of Arabic. The physical nature of the semivowels has not been determined, owing to the difficulties which their study presents. According to Hermann and Matthias there are formants in the sounds Ill PHONATION AND AKTICULATION 1G7 m, n, I, which can be recognised in phonautographic curves. The phonograms of r, according to Hensen and Winckler, exhibit a rhythmical crescendo and decrescendo like the modemto beats of a musical tempo. Consonants proper are distinguished from semivowels in being invariably composed of sounds, while the accent never falls on them, i.e. they never act as syllabic sonants. They form two subgroups, according as they are accompanied by distinct laryngeal tones, or not ; the first are called sounding (or median) consonants, FIG. 109. Articulation of da and gia. (Luciani and Baglioni.) Km. 110. Articulation of co and ga. (Luciani and Baglioni.) the second mutes. Both may be subdivided into occlusives or explosives, and fricatives or spirants. Explosive consonants are produced by the sudden opening of the oral cavity, owing to the pressure of the expiratory air. Their formation accordingly involves the closure of the pharyngo- buccal cavity at a certain point, in which sense only they are occlusive or dosing sounds. Some authors maintain that they should be called explosive when followed by a vowel or semivowel (as in ba, pi, de, te, bra,^>la, dro, knu), and occlusive when preceded by a vowel or semivowel (ab, ip, ed, ot, arb, alp, ord, onk). But this a fallacy. Every one can demonstrate that even when preceded by vowels or semivowels, the characteristic sound of an explosive consonant is heard, not at the closure, but at the reopening, of the cavity which has been momentarily closed. 168 PHYSIOLOGY CHAP. Fricative consonants are produced by sounds of friction as the expiratory current passes through the constricted oral cavity, and are consequently continuous or liquid sounds like the semi- vowels, unlike the explosives which are instantaneous. The explosive consonants b, d, g ; , g", are formed with the glottis open, and may be preceded and accompanied by a laryngeal tone ; in p, t, c', k, the glottis is fully closed, and the expulsion of the air is not accompanied by vibrations of the vocal cords. The labials & and p are always formed by the opening of both lips. In the alveolars, plasmie processes from the nerve processes or axis-cylinders, SllOr b aXIS - Cylinders, the former are printed in black, the latter with their rami- ,,7 V, i r - l-i v o T> o o f a A 1 \T tications in red. 11V divide and subdivide, and soon lose their individuality (Fig. 117). It is, however, very doubtful whether the presumably different functions of these various forms of neurones are connected with the morphological differences indicated by the appearance of their axis-cylinders. The neurone theory, which regards the elementary components of the nervous system as morphologically distinct, is not based on any conclusive evidence. Even after the observations of Ramon y Cajal and his numerous adherents, Golgi and his pupils still insisted on the theory of a diffuse; nervous network, formed of the collateral rami given off from the axons in the vicinity of the ganglion cells. Golgi demonstrated this diffuse nervous iv GENEEAL PHYSIOLOGY OF NEEVOUS SYSTEM 181 network more particularly in certain parts of the central nervous system, e.g. the fascia dentata of the hippocampus (Fig. 118) and the cerebellar cortex (Fig. 119). The neurone theory, on the other hand, harmonises perfectly with the embryological observations of His (1887), who believed Fin. IIS. Fascia dentata of pes hippocampi major. (Golgi.) Between the processes coming from the upper layer of nerve-cells and the lower of nerve-fibres there is an intervening zona reticulari.s composed of nerve-libres which interlace repeatedly, so that they lose their individuality and constitute what Golgi calls the diffuse nerve network. that he had demonstrated the genesis of the nerve elements from the special germinal cells of ectodermal origin, which are inter- posed between the epithelial cells of which the walls of the primitive neural tube are composed. A-polar and rounded in an early stage, they subsequently become piriform ; next they send out a nerve process and become uni-polar ; finally the dendrites appear also (Fig. 116, a, b, c, d, e]. During their growth N 2 182 PHYSIOLOGY CHAP. the neuroblasts gradually move away from the wall of the neural canal towards the exterior. Many of them remain in the central grey matter ; others wander out to form the cerebrospinal ganglia, sympathetic ganglia, etc. But this theory of His, in so far as it conceives the nerves to be only appendages of the ganglion cells, is contradicted by the observations of Balfour, Beard, Dohrn, Kupfer, and Eaffaele FIG. IIP. Cerebellar cortex showing relations between the small cells of the molecular layer and the body of Pnrkinje's cells. (Golgi.) The nerve-fibres descending from the small cells of the molecular layer partially embrace the large body of the Purkinje cells, partially pass between these, and then subdivide repeatedly belowjthem to form another diffuse network on fishes, and the more recent work of Bethe, Paladiuo, Fragnito, and Capobianco on chick embryos. According to these observers the axis - cylinders of the peripheral nerves and of the white matter of the central organs are not (from the histogenetical point of view) composed of prolongations of the axons and dendrites of the ganglion cells, but are derived from the fusion of many cells arranged in series, and only contract relations with the ganglion cells at a later time. The problem is still unsolved, since some authors (Harrison in the first place) confirm the view of His, while others take the polygenetic theory as proven. iv GENERAL PHYSIOLOGY OF NEEVOUS SYSTEM 183 Whatever the value of these conflicting statements, and how- ever certain it is that during their histogenetic development the constituent elements of the nervous system are morphologi- cally distinct and independent, it is far from proved that in fully developed tissues the so-called " neurone " represents a true morphological unit, and is not a fusion of many elements, or syncytiutn ; nor that these neurones do not enter into close relation by direct continuity of their protoplasmic substance ; nor, lastly, is the idea of a diffuse fibrillary network which, both in the central grey matter and at the periphery, knits the several neurones into a single unitary system, comparable with the vascular system, by any means excluded. This modern view of the minute structure of the nervous system is founded on the work of Apathy,- Bethe, Nissl, and others, who, by new methods of staining, have brought out new facts which are in more or less open contradiction with the neurone theory. We must confine ourselves to a brief survey of the principal data supplied by these researches. While the method used by Golgi and his numerous followers in the study of the minute structure of the nervous system has added greatly to our positive knowledge in this difficult subject, it is by no means the best adapted to show up the microscopic structure of the nerve-cells and processes. With too intense impregnation with silver, both cells and processes are stained uniformly black. In order that this method may bring out the fine structure of the body of the nerve -cell, as in the figures obtained by Golgi, it is necessary to make repeated experiments, for which no general rules can be given. Again, there is grave reason to suspect, on the strength of the facts established by Apathy for the nervous system of the leech, that the silver method which only shows up certain elements of the system, leaving the rest unstained and therefore undifferentiated, is inadequate for the demonstration of the finest ramifications of the dendrites and axis-cylinders. We have seen that Golgi himself pointed out that the free endings discovered by Ramon y Cajal, upon which the whole neurone theory is based, are not indisput- able, but result from an inherent defect in the method of staining. In 1871, in describing the ganglion cells of the spinal cord, Max Schultze recognised the fibrillary nature of their protoplasm and of the protoplasmic and nerve processes. Both in fresh preparations and in those treated with osmic acid, he observed distinct fibrils which run in various directions through the cell body, giving it the appearance of a network or reticulum, and are in direct connection with the elementary fibrils of which both the axons and the dendrites are composed. He further assumed the existence of a finely granular substance, which fills the inter fibrillary spaces. 184 PHYSIOLOGY CHAP. This point of view was adopted by Erik Miiller, Boll, Schwalbe, and Eanvier, and was subsequently carried further by Flemming (1895), who on staining with hamiatoxylin described independent fibrils in the dendrites which were continued into the cell body, though he could not trace them distinctly into the centre of the cell, where they seemed to anastomose to form a network. The theory of the fibrillary nature of the protoplasm of the nerve-cells was disputed by v. Lenhossek, but it was adopted and defended by Dogiel, Donaggio, Becker, Marinesco, Held, and Lugaro. In 1896, Donaggio, with a special method of elective FIG. 120. Peripheral network of nerve-cells from flop's spinal conl. (Dona.ugio.) staining, observed and described a fibrillary network that per- vades both the interior and the periphery of the nerve-cells, and in which the fibrils from the surrounding tissue terminate (Fig- 120). Lugaro (1897) convinced himself, with the same haeniatoxylin method as Flemniing employed, of the fibrillary structure of the spinal ganglion cells of dogs poisoned with arsenic, which totally destroyed the chromatic substance at the periphery of the cell body. The fibrils, according to Lugaro, anastomose among them- selves, forming a very delicate reticulum in certain types of cells, a coarser network in others. He made analogous observations upon the cells of the nerve-centres of animals subjected to ex- perimental hyperthermia. iv GENERAL PHYSIOLOGY OF NERVOUS SYSTEM 185 Levi, Luo-aro's collaborator, obtained similar results from the O ganglion cells of frogs during hibernation, in which state the chromatic subtance is very scanty, so that the achromatic fibrillary part is more conspicuous. The existence of fibrils in the nerve-cell and its processes may be regarded as fully established by Apathy's work on the nervous system of the Anellidac (1897). He demonstrated definite fibrils by a special method of staining the ganglion cells with gold chloride. As shown by Fig. 121, these fibrils penetrate from the dendrites into the cell body, where they form a wide -meshed network, and then collect into a single bundle, and leave by the axis-cylinder. The fibrillary network (Apathy) assumes different FIG. 121. n cell of ventral cord of Lmnliriciit, showing an endoeellular fibrillary network, which is continuous with the afferent fibrils of the dendrites, and with one larger, effVii-nt fibre of the axon. (Apathy.) forms according to the nature of the ganglion cells. The small fibres brought out by the gold stain are shown to be bundles of very delicate elementary fibrils, which escape observation owing to their size and the inadequacy of the staining methods. These are the conducting elements proper of the nervous system. Any one who has studied the preparations obtained with Apathy's method must admit that they exhibit astonishingly clear details of structure, which may be of fundamental import- ance to physiology. At the same time it must be remembered that Apathy's positive results relate solely to the nerve-cells of the lower animals (Hirudo and Lumbricus), and that in spite of prolonged experiments, nothing exactly corresponding has so far been obtained in vertebrates. Bethe, in a series of interesting observations (1897-1890), endeavoured by other special methods of elective staining of the 186 PHYSIOLOGY CHAP. fibrils to extend to vertebrates the morphological facts and con ceptions which Apathy developed for Anellidae. According to Bethe the fibrils in the ganglion cells remain independent, without anastomosing among themselves to form a network, except in the cells of the spinal ganglia, in which he found the network to consist of coarser fibrils, with larger meshes, than had been observed by other methods. Bethe's fibrils pass in every direction from one process to another, and between different branches of the dendrites. Golgi also investigated the minute structure of the nerve-cell JSlPii Jim ^ ~ Fie. 1:22. Kibrillary ut-twoik of a fell of the do^'s spinal curd, obtained by Dona.u.uio with his spi'dal mi-thud uf fli-cth>- staining. after his classical work on the general structure of the nervous system referred to above. His own publications and those of his pupil Veratti (1898-1900) demonstrated for almost every form of nerve-cell : () an endocellular reticulum ; (&) a fibrillary structure of the peripheral zone of the cell; (c) a kind of peri- cellular network. The nature and function of the endocellular reticulum are still undetermined. As between the two hypotheses now in the field, according to which it is either a nervous network (Apathy) or a system of nutritive canaliculi (Holmgren), Golgi does not attempt to decide. The nervous character of the fibrils which constitute the fibrillary structure of the peripheral zone of the ganglion cell iv GENERAL PHYSIOLOGY OF NERYOUS SYSTEM 187 :i 3 o p is proved by their continuity with the axis-cylinder process. Golgi has hitherto failed to discover any relation between these peripheral fibrils and the endocellular reticulum, which appears to be an argument in favour of Holmgren's hypothesis, although Golgi's reluctance to accept this inter- pretation is easily understood. The pericellular network described by Golgi for different cells of the cerebellum, cerebrum, and spinal cord consists, in his opinion, of neuro-keratiu, and he believes its function to be one of insulation, as he considers it entirely different to and distinct from the diffuse nervous network described above. This fibrillary network on the surface of the nerve -cells is admirably shown up by Bethe's method, and probably corresponds with the peri- pheral network observed by Donaggio and by Cajal in 1896. Donaggio obtained excellent preparations of vertebrate nerve-cells by his special method. As seen in Fig. 122, the cells are not only penetrated at the periphery by longitudinal fibrils which pre- serve their individuality without anastomosing, as stated by Bethe, but in addition a great number of fibrils can be seen which are directed to the centre of the cell, and there divide minutely to form a dense network which is not stained by Bethe's and Golgi's methods. The fibrillary network nected on the one side with the fibrils that penetrate from the dendrites, on the other with the fibrils that form the axis- cylinder. Donaggio's more recent pre- parations (1904) show still more plainly that the fibrils of which the axis - cylinder is composed are derived directly from the endocellular fibrillary network (Fig. 123). The mode of origin varies according to two cellular types, indicated by Donaggio. On tracing out the course of a sensory fibre, Apathy found that it breaks up within the central nervous system into an elementary fibrillary network (JElementargitter), which suggests is con- I!*'"'' 188 PHYSIOLOGY CHAP. the diffuse nervous network of Gerlach and Golgi, inasmuch as it is continuous with the fibrils that enter from the periphery, and those which leave in the axis of the single process of the nerve-cells of Hirudo. The filaments of this network are therefore in direct continuity with the sensory or motor fibrils that enter and leave the ganglion cells, and which form the intracellular fibrillary network referred to above. All the ganglion cells are thus directly connected among themselves by the continuity of the fibrils, which, according to Apathy, are the essential* elements of nerve con- ductivity. At the periphery of the system again, both in the epithelial cells and in the sensory cells and muscles, the fibres never exhibit free endings but anastomose among themselves to form a network, in the same way as the arteries and veins form a single continuous system by means of the capillary network. Bethe confirmed Apathy's results in the most essential points, for vertebrates as well as for invertebrates, by another method, viz. elective staining of the fibrils. He finds that very different re- lations prevail in different classes of animals between the ganglion cells and the fibrils. In Arthropoda the extracellular fibrillary network is well developed, while comparatively few h'brils enter or leave the ganglion cells to form an intracellular network. In vertebrates, on the other hand, most of the fibrils pass through the cell, without forming a network within it ; on the contrary an extracellular network is formed by the anastomosing of the fibrils that surround the cell. This last statement of Bethe's is contradicted, as we have seen, by the most recent work of Golgi, Donaggio, and Semi Meyer, which shows that the methods employed by Bethe bring out only the coarser fibrils, leaving the more delicate intra- and peri- cellular fibrils unstained. Bethe, on the strength of his own observations, and of an experimental argument which we shall examine below, reduces the importance of the ganglion cells, and holds them to be mere stations for the passage and reinforcement of the nerve current, while the central activity of the system is developed outside the cell in the intercellular elementary network of the grey matter ; Donaggio, on the contrary, holds that the cell probably represents the true centre for the reception of the excitatory impulse and for its synthesis and transformation. As regards the theory of the unitary structure of the nervous system of vertebrates, Held supports Bethe in essentials, on the strength of his own observations ; Golgi, Veratti, Donaggio main- tain an absolute reserve ; Semi Meyer and Lugaro, while they admit the importance of Bethe's observations, deny that these prove the applicability to vertebrates of Apathy's results for inverte- brates, so as to overthrow the neurone theory, according to which the relation of the separate elements of the system is merely one of contact. Lugaro admits as a possibility, in regard to the question iv GENERAL PHYSIOLOGY OF NERVOUS SYSTEM 189 of inter-neuronal anastomosis, that the nature of the connection between the elements of the system may have developed in two opposite directions in the course of phylogenetic evolution. He accepts the theory of Apathy for invertebrates, but maintains that of Ramon y Cajal for vertebrates, so long as the continuity of the fibrils which compose the central and peripheral elementary net- work is not positively demonstrated. The most emphatic and certainly one of the most reliable supporters of the theory of Apathy and Bethe, for both in- FIG. 124. Two cells from ventral horn of human spinal cord. (Nissl's method.) The chromatic sul .stance is collected into small masses, which give a speckled appearance to the cytoplasm. Each cell, besides the nucleus and nucleolus, contains a distinct mass of stainable granules. vertebrates and vertebrates, is Nissl, although his own work does not refer specially to the fibrillary structure of the nervous system. In 1893 he discovered the existence in many ganglion cells of peculiar granules which stain with basic aniline dyes, particularly with rnethylene blue and toluidine blue. These which are now generally referred to as Nissl's granules or chromato- phile granules are present in small masses throughout the body of the cell and in the larger dendrites (Fig. 124). Nissl holds that since the fibrillary nature of the achromatic part of the ganglion cell has been established, the theory of the nerve unit (neurone*) is no longer tenable. He concludes, on the strength of the researches of Apathy, Bethe, and Held, which 190 PHYSIOLOGY CHAP. demonstrated the fusion of the axis -cylinder fibrils into an intracellular elementary network, that the nervous system is constructed of ganglion cells and of a fibrillary nerve substance, the latter being a specifically differentiated cell protoplasm, present in the cells as fibrils, and outside them as grey matter, which last apparently consists of a close and very delicate network of elementary fibrils. So that Nissl, like Bethe, considers the grey matter to be the most important constituent of the nervous system. Another method, which brings out the fibrillary character of the nerve-cells, is that discovered by Ramon y Cajal ; it depends on the reduction of silver nitrate, and is known as the photo- graphic method. According to Golgi the results obtained by it are of the utmost importance and are easy of demonstration. FIG. 125. Tin cr nri \v-cells and processes showing presence and course of neuro-tibrils. Rtimon y Cajal's photographic method. Cajal's method (Fig. 125) shows up every detail, so that the course of the fibrils can be followed both within the cell body and in the processes. Among its other advantages is the fact that, unlike any that preceded it, it brings out the fibrillary structure of the nerve elements during their earliest development. Jaederholm, nevertheless, remarks with regard to the signifi- cance and theoretical value of these histological observations : " In my opinion the reticular formations within the cells must be regarded as artificial products due to agglutination. Such a reticular formation may be simulated, because the cytoplasm, coagulated in the form of a network, stains along with the fibrils ; this happens most frequently with Donaggio's method ; iv GENERAL PHYSIOLOGY OF NERVOUS SYSTEM 191 less often with that of Cajal, more rarely still with those of Bethe and of Bielschowsky." It is curious and instructive to note that while for Ramon y Cajal (1908) the results obtained by his method and its modifications afford a positive proof of the neurone theory since he has never been able to convince himself of the existence of anastomosing intercellular fibrils for Golgi (1910) none of the data adduced in regard to the anatomical structure of the nervous system offer a definite proof either of the theory of independent cell-units (neurones), or of the unitary fibrillary theory. Nevertheless, from the present state of our knowledge, Golgi rejects the view according to which the nerve-cell is deposed, and the chief functional value attributed to the fibrils. " I should feel as though I were breaking faith if I faltered in my firm conviction that the nerve-cells are the central organs of the specific psychical and sensory activities which we ascribe to the nervous system, provided we admit that they too come under the concept that is valid for the whole of the cell theory, viz. that the nerve-cells, while endowed with a certain autonomy, are more or less dependent on their anatomical and functional inter-relations. It is hardly necessary to point out that this statement does not entirely exclude the participation in psychical and sensory actions of all the other factors that enter into the complex organisation of the nervous system. " In regard to the functional mechanism of the nerve elements, far from being able to accept the idea of the independence implied in the concept of the neurone, I can but once more state my conviction that the nerve-cells exhibit collective activity, in the sense that larger or smaller groups of them exert a collective action upon the peripheral organs, through bundles of fibres and through the diffuse nervous network. This concept of course includes that of the analogous opposite action in regard to sensory functions. " However much my position may conflict with the view of separate anatomical units, I cannot renounce the idea of a unitary action of the nervous system, nor feel disturbed if this brings me back to the earlier conception of the mode in which the nervous system functions." Golgi's views on the functional activity of the central nervous system, which are based on anatomical investigations, and parti- cularly on the existence of a diffuse nervous network, are, how- ever, opposed to the best-established facts of the physiology of the sense organs. They are more particularly at variance with the authentic and easily demonstrated observations of isolated con- duction and perception of tactile sensations at various points of the skin, and of elementary retinal sensations, which we shall discuss in treating of the physiology of these sense organs. 192 PHYSIOLOGY CHAP. In 1885 Golgi wrote at the beginning of his celebrated mono- graph : " As regards the central organs of the nervous system, the main task of modern anatomy must be to answer the most pressing of the problems propounded by physiology." The neurone theory, while it harmonises with the cell theory, un- doubtedly corresponds best with the postulates of physiology, although it is far from solving them all adequately. Whatever the final solution of this important controversy as to the structure and mode of activity of the central and peripheral nervous systems, it must be admitted that the wealth of physiological facts that have accumulated in this important field have developed quite independently of the prevailing theories of their exact constitution. If the contents of the present chapter are considered without prejudice and we recommend them more particularly to the attention of histologists, it must be admitted that the physiology of the nervous system is far in advance of its anatomy. II. In discussing the general physiology of the skeletal muscles we saw that they are normally thrown into activity by the agency of their nerves alone ; when these are cut, all movement instantly ceases. Nerves are no less excitable than muscles ; but while in muscle active reaction to stimuli, i.e. "excitation," is apparent as contraction or relaxation, the active response of the nerve is not visible, but consists in the simple transmission or conduction of the excitation from the point stimulated to the end-organ. The excitability of nerve is therefore manifested in its conductivity, i.e. its capacity for transmitting the effect of local stimulation at one point along its entire length. The excitatory impulse in muscle is also, as we know, propagated along the muscle fibres by physiological conduction, but conductivity assumes a special development in the nerve, and may be considered as its specific function, depending on the particular differentiation and constitution of its protoplasm. Nerve conduction consists not in the propagation of fluid or gaseous materials, as was formerly supposed, but in the transmission of excitation, that is, of the active state of the nerve substance, the conditions, laws, and characteristics of which we must now investigate. The fundamental condition of conductivity in a nerve-fibre is its anatomical continuity and integrity. If after dividing a mixed nerve the two ends are brought into perfect contact, we obtain physical continuity, but not the anatomical continuity which is imperative for conduction ; stimuli applied above the section are not transmitted in an efferent direction to the muscles, nor those sent in below in an afferent direction to the centres. An effect identical with that of section is produced by crushing, cauterisation, scalding, and by the action of certain poisons, iv GENERAL PHYSIOLOGY OF NERVOUS SYSTEM 193 n I localised to one point of the nerve. Lastly, as was known to the ancients, the simple tying of a nerve prevents physiological conduction along its fibres. Fontana (1797) was the first who observed that the gradual compression of a nerve may abolish its conductivity without any concomitant excitatory phenomena. But the subsequent experi- ments of E. H. Weber, Schiff, and others, threw doubt upon his conclusions. They found that the paralysis due to compression of the nerve is preceded by a state of increased excita- bility of the nerve and motor phenomena in the muscle. The subject, which is important to clinical medicine, was methodically investigated by Liideritz (1881), Zederbaum (1883), and Efron (1886), who con- firmed the observations of Schiff. They saw that when the compression of the nerve has not been too severe, nor too prolonged, its conduc- tivity may be gradually re- established. According to Liideritz, gradual compres- sion abolishes conductivity first in motor and later in sensory fibres ; but this observation was contra- dicted by Zederbaum and Efron. In their experi- ments on the nerves of amphibia and of mammals, these authors noted that a pressure of some hundred grammes is always required before conductivity is abolished. These experiments were resumed by Ducceschi (1900) in Ewald's laboratory by another method, i.e. compression of a very limited area of the nerve by means of a silk thread (about 0'3 mm. thick) ; this is passed round the nerve as it lies upon a metal plate through two small holes made in the latter, so that it can be gradually drawn down by a weight (Fig. 126). By means of this little apparatus Ducceschi succeeded in diminishing or abolishing conduction in the frog's sciatic by the compression caused by a weight of a few grammes, without any preceding signs of excitation, as already observed by Fontana. VOL. in FIG. 12G. Apparatus for measurable compression of frog's nerve by a silk thread. (Uucceschi.) 1, metal plate pierced with two small holes ; , sciatic nerve ; /, silk thread ; b, balance to carry weights ; , support moved by screw v to allow the weight to be applied gradually. 194 PHYSIOLOGY CHAP. He saw that conductivity returned a few seconds after the pressure was removed, provided it had not been excessive nor unduly pro- Fni. 127. Myograms of frog's gastrocnemius (1) with electrical stimulation ; (2) with break shocks at an interval of 4 sees. (Ducceschi.) In both tracings a weight was applied at ^ the value being marked in grammes ; at -^- the compression ceased. longed (Fig. 127). If, while the frog's gastrocnemius was being tetanised by an interrupted current applied to the sciatic, the nerve was compressed below the point of excitation, the trans- mission of the impulses was partially inhibited, and the almost FIG. 128. The marks on these tracings correspond to those of the preceding figure. At b and c the nerve was tetanised. tonic contraction of the muscle was transformed into a clonic contraction (Fig. 128). The effects of graduated compression on conductivity differed according as chemical, mechanical, or electrical iv GENEKAL PHYSIOLOGY OF NEEVOUS SYSTEM 195 stimuli were employed, owing probably to their different intensity. When excitation from chemical stimuli (glycerol or hypertonic salt solution) was no longer able to pass the compressed point, excitation from mechanical stimuli was able to get through ; when the latter was blocked by the compression, electrical stimuli were still effective (Fig. 129). It is an interfering fact that reflex spinal excitation is arrested by a minimal degree of compression such as blocks the transmission of chemipal stimuli. A frog's nerve ceases to conduct when its diameter is reduced to one-third or one-fourth of the normal ; it then becomes trans- parent, as the fluid contained in the myelin sheath is pushed back above and below the point of compression. Histological inspection of the nerve compressed by a silk thread shows that there is no blackening of the myelin sheath by osinic acid near the point of compression, but the axis-cylinder (the conducting element) is reduced in size. After D ucceschi, Signorina Calugareanu (1901) experi- mented iu Dastre's laboratory, by a somewhat different method, on the effects of mechanical compression of the nerve of the electrical Organ Of Torpedo, the frog's Fio. 129. The very rapid contractions at the begin- , -i ,1 11 ,> ning of the tracing were due to chemical stimula- SCiatlC, and the rabbit S VagUS. tion with glycerol, applied to the upper part of She also obtained diminution the nerve - At ^ the nerve was compressed by P i , ., .I 25 grms. At on the medullary sheath is further proved by the fact established by Ducceschi, that when the frog's sciatic is so compressed as to rupture the sheath without blocking the conductivity of the nerve, isolated contraction of the separate muscles of the foot can be obtained by stimulating single branches of the lumbro-sacral plexus. The new theory of the minute structure of the nervous system, according to which the axis-cylinder and the dendrites are con- sidered not as elementary nerve-fibres but as bundles of separate fibrils forming an elementary network, naturally raises the question whether the law of insulated conduction is applicable to the pro- cesses (dendrites and axons) of the ganglion cells as a whole, or to the individual fibrillary elements of which these seem to consist. It must be confessed that science is not yet ready to solve this problem, which needs a more complete knowledge of their anatomical relations. We can only say that many ramifica- tions of nerve-fibres are merely dissociations of distinct fibrils iv GENERAL PHYSIOLOGY OF NERVOUS SYSTEM 197 united into bundles, and that the true ramifications of the con- ducting elements probably exist only in the terminal and peripheral organs, where distinction and localisation of the physiological effects of the excitation transmitted along the conducting filaments is no longer necessary. Another fundamental fact of nerve conduction is what William James, the psychologist, termed the forward direction. Conduction is normally centripetal, i.e. from the periphery to the centre in sensory fibres and afferent fibres in general, and centrifugal, from centre to periphery, in the motor fibres and efferent fibres in general. Again, when the nerves are artificially stimulated along their course, the effect is expressed in movement for motor nerves, in sensation for the sensory. We shall see, in fact, in discussing the physiology of the special nerve roots, that on stimulating the central stump of a root that contains motor fibres only all sensory reaction fails, and on stimulating the peripheral stump of a root containing only sensory fibres no motor reactions are obtained. This fact at first sight justifies the conjecture that sensory nerves can only conduct the excitation in an afferent direction when excited along their course, and motor nerves only in an efferent direction, as though there were some valvular mechanism which allows the transmission of the impulse in one direction and blocks it in the other. Certain experimental facts, however, show this hypothesis to be untenable, and indicate that nerves in general, when artificially excited at any point of their course, are capable of conducting in both directions, but the effect is manifested only at the centre for sensory nerves, and at the periphery for motor nerves. The best argument for double conduction appears from the study of the electrical phenomena that accompany the excitation of nerve. This will be discussed in a separate section. When a nerve is stimulated midway, while the two ends are joined up to two galvanometers, the so-called negative variation is seen on both. This occurs not only with a mixed nerve, which contains both sensory and motor fibres, but also, as Du Bois Reymond pointed out, with a nerve which contains only motor (efferent) fibres, e.g., the ventral spinal roots. Gotch and Horsley repeated and varied this experiment, both with efferent and afferent nerves. They divided a ventral root of the sciatic plexus in the cat ; connected it with a highly sensitive galvanometer, and then excited the trunk of the sciatic. A double reaction followed -of the muscles of the limb, which proved centrifugal conduction in the motor fibres, and of the galvano- meter, which showed centripetal conduction in the same motor fibres. Similar effects were obtained with sensory nerves. On exciting a dorsal root and connecting the central end of the divided sciatic with the galvanometer, the negative variation 198 PHYSIOLOGY CHAP. appeared, which is a proof of centrifugal conduction in the sensory fibres. Many other attempts have been made to demonstrate the possibility of reversal of the normal passage of excitation along a nerve. Schwann divided the sciatic of a frog, and allowed the two ends to unite. He then stimulated the sensory roots of the nerve, and saw that its excitation produced no contraction in the muscles of the limb. From this he concluded against the theory of conduction in a double direction, since it seemed to him im- probable that each afferent or efferent fibre of the two stumps should be able to unite with a fibre of its own kind. But the fact that normal sensibility and motility is recovered after nerve section shows that what Schwann thought so impossible really does take place. His experiments, which Steinbriick confirmed in 1838, do not therefore overthrow the theory of conduction in both directions. Bidder (1841) attempted to connect the peripheral end of the hypoglossal (motor nerve) with the central end of the lingual (sensory nerve), but he only managed to unite trunks of the same kind, as in Schwann's experiments. Union of heterouomous stumps was, however, obtained by the subsequent experiments of Gluge and Thiernesse (1859), Philipeaux and Vulpian (1860), Roseuthal (1864), and Bidder himself (1865). It was found that when the two nerves above mentioned had united, stimulation of the lingual produced movements of the tongue, and stimulation of the hypoglossal (united to the central end of the lingual) elicited signs of pain. These results seemed to be positive evidence for conduction in I both directions ; subsequent researches, however, proved them capable of a different interpretation. The symptoms of pain when the hypoglossal was stimulated can, according to Arloing and Tripier, be interpreted as a phenomenon of recurrent sensibility in the stump of the hypoglossal, and the movements of the tongue on stimulating the lingual may, according to Vulpian's last work, depend on excitation of the fibres of the chorda tympani, which is an efferent nerve. If, on the other hand, the hypoglossal on one side be cut so that it degenerates completely, and the peripheral stump of the freshly divided lingual nerve is then excited, a slow contraction of the tongue follows, which is due to the chorda tympani and is accompanied by vascular dilatation. The mechanism of this phenomenon is very obscure, since the chorda tympani has no direct anatomical connection with the tongue muscles, and produces no motor effect under normal conditions, i.e. when the hypoglossal is uninjured. So that none of these experiments are of any account for the question of double conductivity in nerve. Nor can any greater value be assigned to the experiments which Paul Bert carried out on rats by suturing the tip of the tail to the iv GENERAL PHYSIOLOGY OF NEEVOUS SYSTEM 199 skin of the back, and dividing it when healed close to the root. As he elicited signs of pain on exciting this inverted tail, he concluded that conduction in the nerve had been reversed. But till we know what phenomena of degeneration and regeneration take place in the nerve, after transplanting the tail, it is impossible to give any positive explanation of the results of this experiment, and it cannot be invoked in favour of the law of double conduction. Kiihne (1859) attempted by another method to prove con- duction in both directions. He divided the broad end of a freshly dissected frog's sartorius into two strips with scissors, and found that mechanical stimulation of one of the strips produced h'brillary contractions which were not confined to the segment of muscle that was directly excited, but spread also to the strip that had not been excited. According to Klihne this phenomenon can only be explained on the assumption that the excited and non-excited segments of muscle contain nerve-fibres which come from the bifurcation of the axis-cylinders of the principal nerve. The excitation is transmitted centripetally in the nerves of the first strip, and then spreads centrifugally to the nerves of the second strip. Babuchin repeated this experiment on the electrical organ of Malapterwrus which has a single gigantic many-branching nerve- fibre. He found that excitation of a single twig of this fibre suffices to produce a discharge of the whole electrical organ. Hermann attached great importance to these experiments of Ktihne and Babuchin as evidence for the law of conduction in both directions. Other authorities, on the contrary, make strong objections, for which we have not space, particularly as Kiihne, in a memoir of 1886, published a long series of new experiments on the pectoral and gracilis muscles of the frog which lend them- selves better to the solution of the problem. If the pectoral muscle of the frog is divided as shown in Fig. 130, by leaving a bridge (Z~] which carries the nerve and a few muscle fibres, mechanical, chemical, or electrical stimulation of this bit of tissue will cause the whole of the remainder of the preparation (J/) to contract. This contraction is not fibrillary as in the sartorius, but diffuse and simultaneous in all the fibres of the muscle, so that it can be graphically recorded and shown to exhibit the characteristics of a single twitch. The experiment of Fig. 131 is still more decisive. It shows that retrograde con- duction of the nerve impulse along the motor fibres may also occur between two parts of the same muscle (K and L], united only by the nerve (&), on stimulating one portion of the nerve (Z), so that any direct intervention of the muscle fibres in causing the phenomenon is excluded. Kiihne ascertained by a minute histological examination of the nerves of the frog's pectoral and gracilis muscles that the 200 PHYSIOLOGY CHAP. dichotomous branchings of the nerve-fibres occur principally at the points at which the nerve enters the muscle, and in the extramuscular part of the same nerve. This dichotomous division of the nerve-fibres is brought about by the separation of the fibrils of which, according to Schultze, the axis-cylinders are composed. Hence the experiments of Kiihne not only yield a direct proof of double conductivity, but they also imply that the isolated con- duction which Johannes Miiller showed to be a property of the axis-cylinder does not hold as between the fibrils of which each axis-cylinder is composed. Kiihne employed the same method to demonstrate unequivocally that the paralysing action of curare is localised in the end-plates of the muscular nerves, and does not spread to the motor fibres Z ... 1'lUv rTXiF I ft I ^ p" ' f ! i ' L N FIG. 130. Killing's experiment on frog's pectoral muscle. -Y, iirrvt- which supplies the right half (in) of the muscle ; the left half is cut away leaving only the bridge Z, which con- tains the part of the nerve that is mechanic- ally stimulated. PIG. 131. Kiihne's experiment on the gracilis muscle. N, nerve that gives off branches to the two separate parts of the muscle A' and L and to the bridge of muscle Z, which is mechanically excited. (see Chapter I.). He employed the gracilis muscle of the frog, which can be divided by a ligature into two portions, in only one of which the poisoned blood circulates. The muscle thus treated can be cut so that the nerve forms the only connection between the curarised and non-curarised portions (Fig. 132). Under normal conditions the mechanical stimulus applied at N, Z, or K pro- duces a contraction of the entire muscle according to the law of the backward conduction of excitation ; but in the curarised muscle mechanical stimulation of the nerve at N and at k will only cause contraction of the part K, i.e. the non-curarised portion of the muscle, the same effect being produced by exciting the branches / and I' of the curarised portion. This proves that the nerve-fibres have not been paralysed by the curare, since con- duction in a centripetal direction takes place in them, as under normal conditions. It may be argued logically from the law of double conduction that the motor and sensory nerves do not differ fundamentally in iv GENERAL PHYSIOLOGY OF NERVOUS SYSTEM 201 their internal constitution. That under normal conditions the former conduct centrifugally and the latter centripetally depends not ou any intrinsic difference, but on the specific nature of the organ with which they are related at the centre or the periphery, and to which they transmit the excitation. If experimental efferent excitation of sensory nerves and afferent excitation of motor nerves produces no perceptible motor or sensory effects, there must at the peripheral end of the former and central end of the latter be some apparatus, as to the nature of which we are entirely ignorant, which hinders the excitation from being propagated, as a system of valves determines the direction of flow of a current. There is thus no intrinsic contradiction between the law " of the forward direc- tion of normal excitations " and that " of the double direction of experimental Vexcitation," i.e. such as is artificially produced along the course of the nerve. Intimately connected with this law is the other which Hermann (1879) termed "law of the constant effect of nervous excitation." Whether a nerve be excited at its end or at any point along its course, the effect on the organ of reaction is invariably the same, viz. I muscular movement for motor nerves, sensation for sensory nerves. The local- F io. 132. -Kuime's experiment isation and character of the muscular movement are determined not by the site of stimulation, but by the number of fibres excited and their peripheral distribution to the muscle. So, too, the location and specific quality of the sensation, e.g. pressure, heat, and pain, which occurs on stimulating a sensory cutaneous nerve at any point, is identical with that produced by the action of natural stimuli upon the end-organ in the skin. The most striking example that can be adduced in proof of this law is that observed when a limb has been amputated. " When the member to which a nerve trunk is distributed," says Johannes Miiller, " is removed by amputation, the stump of the nerve which contains the whole of the shortened nerve-fibres is capable of the same \sensations as if the amputated limb were still present. This persists all through life." If the stump becomes inflamed, such persons complain of sharp pains in the entire lost limb. Upon recovery they have the same sensations that normal people feel in a healthy limb, and there is often a persistent sensation of itching, or discomfort, which appears to be localised in the limb that no frog's graeilis muscle, halt' of which had been poisoned with curare and then severed, so that only the nerve was left as a connecting bridge. N, nerve that gi\es branches to the poisoned L and non - poisoned K, halves of the muscle ; k, connecting bridge ; Z, nerve -muscle biidgr that is mechanically excited. 202 PHYSIOLOGY CHAP. longer exists. Many persons eventually become accustomed to these sensations, and cease to notice them ; but they surge up again when attention is focussed upon them, and are often felt distinctly in the fingers, sole of the foot, or hand. The sensation is more acute when pressure is exerted on the stump. The symptoms of anaesthesia dolorosa are no less important to the demonstration of the peripheral projection of sensations. Traumatic paralysis from compression or section of a nerve trunk, in which more or less extensive cutaneous areas become totally in- sensitive to the strongest stimuli, though the patient still complains of intense pain in them owing to the irritable state of the nerve trunk, is not infrequent. In surgery, division of the nerve may fail to cure neuralgia, as it merely interrupts the conduction of external peripheral excitations to the centre, but cannot suppress the conduction of central irritation in the nerve, which gives origin to sensations projected to the periphery similar to those produced by extrinsic local stimulation. The phenomenon of the peripheral projection of sensations can easily be demonstrated under normal conditions by mechanical excitation of one's own ulnar nerve in the groove of the internal condyle at the elbow, where it is accessible ; this produces a prick- ing in the palm and back of the hand, and in the third and fourth fingers. Pressure on the infraorbital nerve, where it issues from its foramen, produces pricking at many points of the cheek and upper lip. III. Johannes Miiller in 1844 declared the problem of the velocity of nerve conduction to be insoluble, and compared it with that of light. " The time," he writes, " in which a sensation passes from the exterior to the brain and spinal cord, and thence back to the muscle so as to produce a contraction, is infinitely small and immeasurable." Only six years later, in 1850, Helmholtz was able by exact physical methods to determine the rate of propagation in a frog's nerve, and to demonstrate that it is infinitely slow in comparison with the propagation of physical energy. Electricity traverses a space of 464 million metres in a second, light 300 million, sound 332 metres; the excitatory impulse in nerve, on the contrary, is transmitted at a rate so much lower that it may be compared with the speed of a loco- motive or the flight of an eagle. The first exact measurement of the velocity of conduction in nerve was made by Helmholtz on a frog's nerve-muscle preparation (Fig. 3). If the time-interval between the stimulation of the nerve and the contraction of the muscle (latent period) is measured, it is found to be greater when the motor nerve is stimulated at a point remote from the muscle than when it is stimulated near the muscle. The difference in the time-interval is also, carteris paribus, proportional to the length of nerve between the two points excited. iv GENEEAL PHYSIOLOGY OF NEEVOUS SYSTEM 203 From the difference in time and the length of the nerve as measured the rate of conductivity is easily calculated. Helmholtz employed two methods for determining the time that elapses between the (electrical) stimulation of the nerve and the reaction of the muscle. The first method, invented by Pouillet, consists in measuring the duration of an electrical current, sent through a galvanometer at the moment of excit- ing the nerve, and interrupted at the moment at which the muscle contracts (for details of the application of this method see Biedermann). 1 The second method, employed after Helmholtz by all physiologists, is a special applica- tion of the graphic method. The times of nerve excitation and muscle con- traction are recorded by a myograph on the smoked paper of a drum or plate, which is moving very rapidly, the time being marked on the same surface by means of a tuning-fork. The difference in time can thus be measured exactly between the first stimulation of the nerve close to the muscle and the commencement of the muscular contraction, and the second stimulation farther from the muscle and commencement of the second: contraction. When the times of the two successive stimulations are recorded at the same point of the revolving drum (as in Fig. 133), the distance between the initial Fir.. 133. Velocity of nerve conduction, as measured by Marey on himself. 1, myogram traced on exciting the nerve close to the muscle ; 2, myogram on exciting the nerve 30 cms. from the muscle ; D, time tracing from a tuning-fork at 250 double vibrations per second. The interval between the two contractions occupies about 2-5 vibrations, corresponding to O'Ol sec. in which the impulse traverses 30 cms. = 30 m. per second. point of the two contractions is all that is required to calculate the rate of conductivity, when the length of nerve between the two points of excitation is known. From an average of the experiments made by Helmholtz on the frog's nerves the velocity of nerve conduction was found to be 27'25 metres per second, which is much less than the velocity of the propagation of sound in air, but greater than the propagation of the contraction wave in the muscle of the same animal, this being, as we have seen, about 1 metre per second. Helmholtz and Baxt also determined the rate of conductivity in the motor nerves of man. They recorded the myograms of the thumb-muscle upon a rotating cylinder by placing a sensitive lever on the thenar eminence, and exciting the median nerve either in the axilla or near the wrist joint, through the previously moistened skin. The rate obtained was somewhat higher than for frog nerves, i.e. 30-35 in. per second. Helmholtz and many other investigators have also attempted to determine the rate at which the impulse is propagated in the 1 Electro-Physiology, English translation by F. A. Welby, 1896, ii. 59. 204 PHYSIOLOGY CHAP. sensory nerves of man, but the resulting data are discordant and unconvincing. The method consists in determining the reaction- time to tactile sensations sent in at two points on the skin of the arm, at different distances from the centres. As soon as the subject perceived the sensation he pressed a button which marks the moment of reaction upon a revolving cylinder. It was formerly assumed that the reaction-time for two approximately identical sensations, evoked at two points of the skin at different distances from the centres, differed only in proportion to the different length of nerve through which the impulse has to pass before reaching the centres. The discrepancy of results obtained by various experimenters, which ranges from 26 to more than 100 m. per second, however, shows that the lost time at the centres, where the afferent excitation is transformed into a motor impulse passing down the efferent nerve, must vary con- siderably, according to the site of stimulation, the state of fatigue and degree of attention of the subject, with other less appreciable conditions. It is probable, judging from other experiments to be described later, that the rate of conductivity is the same in sensory nerves as in motor. Considerable differences in rate of conductivity are found in the lower animals, and even in different kinds of nerve in the same animal. Fredericq and van de Velde found for the nerves of the claw of the sea-crab a velocity varying from 6 to 12 metres per second when the temperature varied between 19 and 20 C. v. Uexkiill found variations of O'4-l m. per second for the nerves of the mantle of Cephalopoda ; Chauveau found in the vagus fibres that innervate the smooth muscle cells of the oesophagus of large mammals a velocity averaging 8'2 rn. per second, while in the vagus fibres that innervate the striated muscles of the larynx it averaged 66'7 m. per second. According to Chauveau -this rate is not uniform for all parts of the nerve, but falls in the parts nearest the muscle. From some of Gotch's work, again, it seems highly probable that the rate of transmission of the motor impulse is much lower in the terminal branches of the nerve than it is in the principal trunks. In experiments on the electrical organ of Malapterurus, in which a gigantic nerve-fibre terminates in a very free arborisa- tion, he measured the difference of latent period obtained on exciting the organ -directly or through the nerve, and found that a non-negligible fraction of time (0'003-0'005 per second) was lost in the transmission of the impulse along the twigs of the nerve. On repeating the experiments of Babuchin on the same nerve (see p. 199) to see if the retrograde centripetal conduction of the impulse proceeded at the same rate as the centrifugal, his results led him to conclude that the velocity of conduction did not alter with the ascending or descending direction of the impulse. iv GENERAL PHYSIOLOGY OF NERVOUS SYSTEM 205 The influence of temperature on rate of conduction in nerve is very apparent. Helmholtz, experimenting with the motor nerves I of frog, found that their conductivity diminished considerably on cooling, and increased on warming to 25 C. Gotch and Macdonald made a careful research, exciting the same nerve at regular intervals with minimal or nearly minimal stimuli. They found that on cooling the nerve to 5 C. the muscular response diminished or disappeared, while on warming it to 35 C. it was increased and became maximal. So that cooling diminishes not only the velocity of conduction, but the intensity of the effect trans- mitted by the nerve as well ; heating produces the opposite effect. Helmholtz and Baxt further observed that both the rate of conduction and the intensity of the effect transmitted vary with alterations in the strength of the stimulus. This result, obtained on the brachial nerve of man, was confirmed by Vintschgau for the motor nerves of frog, and by Fick for the non- medullated nerves of Anodonta. It was, however, always disputed by Rosenthal and Lautenbach, and it is in any case doubtful whether it applies to mechanical and chemical excitation as well as to electrical stimuli. It should further be noted that the shortened latent period obtained on stimulating the nerve with a stronger induction current may be apparent only, which is due to the fact that in this case the current spreads further and stimulates points of the nerve which lie nearer to the muscle. We shall later discuss the alterations in the conductivity of the nerve caused by electrotonus. Fr. W. Frohlich (1904), in studying the oxygen demand, and the effects of narcosis on the frog's sciatic (infra], showed by the myographic method that the rate of transmission of the nervous impulse undergoes a local diminution during asphyxia and narcosis in the part of the nerve affected, and that this became more marked in proportion to the length of nerve involved. This delay in conduction is perceptible even in a state of narcosis or asphyxia in which conductivity seems by other methods to be unaltered. According to Ch. Richet the experimental results arrived at by the various authors as to the velocity of transmission of the excitation or active state of the nerve may be summarised as follows : (r/,) In the frog the mean velocity of the nervous vibration (as he terms the active or excited state of the nerve) is from 20 to 26 m. per second. (&) In warm-blooded animals this velocity is 30-34 m. per second. (c) It varies with a number of factors, particularly with the temperature. It is not identical in every part of the nerve. 206 PHYSIOLOGY CHAP. From these facts we derive the important conclusion that fthe internal excitatory process, or active state of the nerve, Us transmitted at a rate that is, comparatively speaking, so low that it must undoubtedly consist in a physico-chemical change of the living substance of the axis cylinder, propagated by contiguity from one part to the next. The conduction of excitation in the nerve is analogous to the transmission of excitation in the muscle, although it occurs much more rapidly. We may assume with Pfliiger that potential energy is liberated during activity in nerve as in muscle, this chemical process being propagated from segment to segment till it reaches the muscle, where it excites the mechanical process of contraction just as the spark of a match produces an explosion when it reaches the powder in a mine. As in muscle so in nerve, it can be proved that excitation is a diphasic cyclic process, whatever concept be formed of the hitherto unknown chemical changes aroused by the stimulus. Just as in muscle the phase of relaxation follows the phase of contraction, and the whole cycle of muscular excitation results from these two factors, so in nerve the active state results, as can be demonstrated, from a physico-chemical, presumably katabolic, change, followed after a brief interval by the opposite (anabolic) change, which represents the return of the protoplasm of the nerve to the molecular equilibrium proper to the resting state. Our physiological analysis of the phenomena of excitation will yield constant confirmation of this law. IV. We have seen that the excitation or active state of a muscle is expressed in three orders of effects ; in mechanical, chemical, and electrical phenomena. The active state of a nerve induced by various stimuli is, on the contrary, so far as we know, expressed solely by alteration of its electrical potential. The chemical composition of the axis-cylinder (the only really and specifically active part of a nerve) is totally unknown to us. Under the microscope it gives the xanthroproteic reaction and other indications of a protoplasmic character. From this single fact we may conclude, with Foster, that there is a generic analogy between the chemical composition of the active sub- stance of muscle and that of nerve, and conjecture that the transmission of excitation along the nerve-fibre is accompanied by chemical changes similar to those which take place in the muscle fibre. It is, however, certain that the nutritive exchanges and metabolic phenomena which are theoretically probable in nerve must be extremely small, since it has so far been impossible to obtain any direct demonstration of them. A. D. Waller, starting from the observation (which we shall discuss below) that there is a relation between the functional capacity of the nerve and the variations produced experimentally in the CO., content of the surrounding atmosphere, concludes that iv GENERAL PHYSIOLOGY OF NERVOUS SYSTEM 207 the nerve produces carbonic acid during its activity ; but there is so far no direct demonstration of this fact. It has, indeed, as we shall see, been demonstrated of late years by the school of Verworn (H. v. Baeyer, Fr. W. Frohlich) that the nerve requires a supply of oxygen to keep up its vitality. Thunberg succeeded in measuring the quantity of oxygen absorbed and of carbonic acid given off. But no one has yet proved that this respiratory gas exchange depends directly upon the state of rest or activity of the nerve. Funke found that the normally alkaline reaction was converted into an acid reaction in a nerve treated with strychnine, owing to its exaggerated activity, but this observation has not been confirmed by other workers. Rohmann, who experimented on the nerves of the electrical organ of Torpedo, using acid fuchsin as his reagent, failed to obtain any positive result. The exceedingly slow character of nerve metal lolisrn can also , be detected in the fact that, unlike the grey matter, which is irrigated by a rich network of blood capillaries, the vascularisa- tion of nerve is very little developed. But the best argument, of which we shall give experimental proof later on, is the fact that nerve, unlike the nerve-centres, is practically inexhaustible, i.e. it shows no visible signs of fatigue, even when thrown into a state I of activity for several hours. Thermal phenomena, again, such as are due to katabolic processes, are very small and insignificant in the active nerve. Schiff found a slight increase in heat development when he applied the thermo-electric pile to nerve. But the same method yielded negative results in the hands of other expert observers (Helmholtz, Heidenhain). Nor did Rolleston arrive at any positive result with Callender's extremely sensitive method. It seems impossible to doubt that metabolism is very low in nerve-fibre, even after strong and persistent stimulation, which evidently means that the work the nerve has to perform is inconsiderable. Both when the excitation is propagated from the periphery to the centre (afferent nerves) and when it travels from the centre to the periphery (efferent nerves), the nerve only needs to send a slight impulse, a tiny spark, to the end - organ with which it is connected in order to effect a vigorous process and marked explosion of energy, owing to the great irritability of that organ. Yet, however slight it may be, the process of excitation and conduction in the nerve-fibre must involve a certain consumption of energy. That the products of chemical dissociation and the correlative development of heat are not demonstrable even after strong and protracted stimulation, suggests that the chemical i dissociation is rapidly compensated by a process of restitution. ' Gad, in formulating this notion more precisely, assumes that the restitution of the substance that has been altered by excitation 208 PHYSIOLOGY CHAP. in any part of a nerve is accomplished instantaneously at the expense of the next part, and that upon this the propagation of the excitatory impulse depends. An indirect proof of this theory is afforded by the study of the electrical phenomena exhibited by nerve in the state of rest and of activity, which need only a brief description, since they are almost exactly identical with those already discussed for muscle (vide Chapter L, sec. XL, p. 68). The discovery of the so-called current of rest in nerve was made by du Bois-Beymond (1845). Any bit of nerve cut out of the body presents approximately the same electromotive phenomena as muscle, and these may be summed up as follows : (a) Two symmetrical points on the longitudinal surface and of the two cross-sections of a nerve are as a rule iso-electric, i.e. equipotential. (6) Two points at different distances from the sections show a FIG. 134. Diagram <>f demarcation currents in a length of mixed nerve excised from the animal. Direction ni currents indicated by arrows; e, physiological equator at the centre of the bit of nerve. difference in potential, in the sense that the point nearest the cross -section is electrically negative, on the galvanometer, as compared with the other point. (c) Generally speaking, the surface of a transverse section is negative to the natural or longitudinal surface, and the greatest difference in potential, i.e. the maximum deflection of the galvano- meter needle, is obtained on placing one unpolarisable electrode on the cut surface and the other on the middle of the longitudinal surface. The diagram in Fig. 134 is a representation of these pheno- mena. They are all comprised under the general law that in i excised nerve the longitudinal surface represents the positive pole ' or anode, and the transverse surface the negative pole or kathode. The currents that can be led off to a galvanometer from an artificial cross-section and from any given point of the natural longitudinal surface of a nerve, decline rapidly, especially in warm-blooded animals. In the frog's sciatic the value of the current may fall by one-half in two to four hours, especially in summer. But the difference of potential may increase again, and the current may regain its original force, if a new section is made iv GENERAL PHYSIOLOGY OF NERVOUS SYSTEM 209 near the first. This fact seems to us important, because it corroborates Engelrnarm's theory that the strength of the current corresponds with the intensity of the lesion in the injured nerve, and that this process of injury is arrested at the next node of Ranvier. It also gives support to Hermann's theory that the uninjured cell elements are incapable of developing electromotive phenomena, and that the critical points of demarcation between the healthy tissue and that injured by the section are determined by these nodes. Nerves that are wholly dead are incapable of giving currents. Any lesion of a nerve along its course, by cauterising, crushing, compression, etc., renders it negative to the normal p