* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Distribution of Heart Potentials on the Thoracic Surface of Normal
Heart failure wikipedia , lookup
Cardiac contractility modulation wikipedia , lookup
Cardiac surgery wikipedia , lookup
Quantium Medical Cardiac Output wikipedia , lookup
Myocardial infarction wikipedia , lookup
Heart arrhythmia wikipedia , lookup
Ventricular fibrillation wikipedia , lookup
Arrhythmogenic right ventricular dysplasia wikipedia , lookup
Distribution of Heart Potentials on the Thoracic Surface of Normal Human Subjects By Bruno Taccardi, M.D. Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 • Multiple electrical recordings from the thoracic surface of the dog have recently shown2 that during some portions of the QRS interval only one maximum and one minimum of potential are simultaneously present on the chest wall, as one would expect from the theory of the single equivalent dipole.3 During larger portions of the ventricular depolarization time, however, several simultaneous maxima and minima can be observed. Such a complex distribution of surface potentials cannot be reconciled with the above-mentioned theory. A multipolar equivalent generator should be considered,4"7 in order to account for the experimental data. The complexity of the surface patterns should be referred to the existence, within the heart, of multiple, separate groups of electrically active fibers,8'9 each group exerting a preponderant influence on certain regions of the chest surface (proximity potentials). It follows from the foregoing observations that, in dogs, some portions of the precordial electrocardiogram should be interpreted according to the dipolar theory, and no information about "local" activities may be expected during these periods; other parts of the same tracings, however, do contain proximity potentials and should be interpreted accordingly. The several points of transition from the "dipolar" to the "multipolar" portions of a given QRS complex are not detectable by inspecting or measuring the tracing and it is From the Department of Electrophysiology, Istituto cli Cardiologia Sperimentale Servizi Seientifici Simes, Milano, Italy. Supported by Professor G. E. Ghiradi, Founder of the Istituto di Cardiologia Sperimentale. A preliminary report was presented at the 13th Congress of the Italian Physiological Society.1 Received for publication November 8, 1962. Circulation Research, Volume XII, April 1963 therefore impossible to decide in this way which parts of the complex contain local potentials. This discrimination becomes possible by examining instantaneous isopotential maps of the chest surface. Similar difficulties are encountered when interpreting the human precordial electrocardiogram. Basic work of Wilson and his associates,10' " Rijlant,12"14 Nelson8 and others demonstrate that proximity potentials must exist on the surface of the human thorax, but their location and time course are still imperfectly known. In particular, it has not been established whether in man proximity potentials are present during the whole depolarization time or during some parts of it; nor is it certain whether they are exclusively located in the regions explored by routine chest leads or whether they are also present elsewhere. On the other side, several authors3- 13 consider that the precordial electrocardiogram does not contain significant information about "local" activities and assert that all the precordial tracings can be predicted from distant leads. In this study an attempt is made to determine the location and time course of proximity and dipolar components in the thoracic potential distribution of normal human subjects. Methods Electrocardiographic exploration of the thoracic surface was performed in 15 healthy, male human subjects aged 15 to 43. In each individual 200 to 400 points, regularly distributed on the surface of the trunk, were marked by means of a rubber .stamp. The subjects were photographed before and after the marking. The distance between explored points was 1.5 cm in the precordial region; 3 cm in the other regions of the anterior and left thoracic wall; 6 cm on the posterior chest wall (fig. 1). The chest electrodes were small silver or steel plates, 5 mm in diameter. No conducting jelly was used, to avoid distortion of the electric field. 341 TACCARDI 342 Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 6 ooooooooooooo o ooooocooooooo o o 0300090000000 o o o o o aoooo 0 cc O O O O OO0<* FIGURE 1 Anterior and posterior thoracic surface of subject no. 1. The points to be explored v.ere marked by means of a rubber stamp. Below, left: QRS complex in lead 2. The vertical lines indicate 16 instants of time corresponding to the 16 isopotential maps which were constructed for subject no. 1. BelotG, right: Q7iS complex in lead 2; the vertical lines indicate 9 instants corresponding to the maps which were selected to be reproduced in figures 3a to 5a. As in these conditions the skin-electrode resistance may become very high, a cathode follower was interposed between the chest electrode and the amplifying chain in order to prevent amplitude loss and distortion of the tracings. By means of two to five Tektronix 122 preamplifiers (modified time constant: three seconds) connected to a multi -channel Rycom or Tektronix cathode ray oscilloscope, two to five tracings were simultaneously recorded (fig. 2a) : a reference electrocardiogram (usually standard lead 1 or 2 ; occasionally lead VL) and one to four thoracic electrocardiograms, obtained by leading off from a common reference point (usually Wilson's central terminal, made with 50,000 ohm resistors) and one to four points on the thorax. The electrocardiograms were photographed from the screen of the cathode ray tube. The chest electrodes were subsequently moved to new points on the thoracic wall and new tracings recorded until all the marked points had been explored. A square wave generator, triggered by the heart beat, injected into the lead circuit a calibration signal after each systole. The electrocardiograms were always recorded after the end of a normal expiration and before the beginning of the following inspiration. The tracings were optically magnified. The timebase speed, when measured on the enlarged tracings, was 1.000 to 1.250 mm/sec and the calibration 2 to 16 cm/mv. The width of the enlarged QRS complexes was 8 to 10 em and the amplitude 4 to 8 cm. Ten to twenty instants of time were chosen in the QRS complex of the reference tracing and the amplitudes of the 200-400 thoracic electrocardiograms were measured at the selected instants; the measured values were converted into millivolts and plotted on maps of the explored region, each map corresponding to one instant. Continuous lines were drawn on the maps by joining points between which there was no potential difference at the instant considered (isopotential lines). Linear interpolation between experimental points was used when necessary. In some of the earlier experiments the right arm was taken as the reference point instead of the central terminal. In these cases the maps Circulation Research, Volume XII, April 19G3 343 HEART POTENTIALS ON THORACIC SURFACE Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 FIGURE 2 fa) A: Lead 2 of subject no. 1; this lead was recorded throughout the whole exploration and served as a time-reference tracing. B: Chest lead recorded from the pre-slernal region, midway beUveen the upper and lower end of the sternum. C: Chest lead recorded from the upper end of the pre-sternal region. Time marking: 5 msec. Calibration: 350 microvolt. The tracing was obtained by photographing the screen of a Tektronix cathode ray oscilloscope, (b) Standard and unipolar limb and chest leads of subject no. 1, obtained by ineams of a direct-writing multi-channel electrocardiograph. were subsequently transformed into those which would have been obtained with the central terminal by means of a simple calculation, as described in a previous paper. 1 This transformation does not alter the shape and distribution of isopotential lines: in fact it merely consists of adding a constant to all the potential values of a given map. (See also Nelson,8 page 1022). Immediately after the chest exploration, standard and unipolar limb and precordial leads were recorded in all the subjects by means of a multi-channel, direct writing electrocardiograph (Hellige or Battaglia-Rangoni) (fig. 2b). The exploration was generally completed in about three hours. In three cases the entire experiment was repeated after an interval of one month or more, in order to ascertain the reprodueibility of the results; there was a satisfactory agreement between the results of the first and second exploration. Results In the early stages of ventricular depolarization a precordial maximum and a dorsal minimum* of potential have been observed in Circulation Research, Volume XII, April 1963 all the subjects (fig. 3a). The maximum is generally located near the mid-sternal or left para-sternal line, at the level of the third to fifth intercostal space. The dorsal minimum is generally located near the posterior midline, at the same level; in rare eases, it can be observed in the vicinity of the left posterior axillary line or even more anteriorly. During the rise time of the R wave in lead 2 the following events generally occur: the precordial maximum moves slowly, pointing caudally and toward the left mammiUary line; the dorsal minimum migrates much more rapidly toward the right scapular and deltoid region, and appears then anteriorly in the *The expressions "potential maximum'' (and "minimum") indicate the region of the map where the potential is higher (or lower) than that existing in all the neighboring regions. The term ' ' saddle'' indicates a region such that an observer, staying in it, can see growing potentials before and behind himself, decreasing potentials at his right and left. 344 TACCARDI Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 right subclavicular fossa (fig. 3b and c) ; meanwhile another minimum, which will become, later on, the principal minimum, appears in the precordial region near the mid-sternal line, at the level of the fourth sterno-costal joint (figs. 3d and 4a). Thus, during 3 to 10 milliseconds, two potential minima, one maximum and one "saddle" are simultaneously present on the chest wall of normal human subjects, the "saddle" being interposed between the two minima. The time course of the above-described events varies considerably from one subject to another: in some cases the last described situation is observed in coincidence with the foot of R in lead 2; in other cases, it coincides with the rise of the R wave, or even with the peak of this wave (fig. 5b). In the subsequent stages of ventricular activation the upper minimum moves progressively from the right sub-clavicular region toward the area occupied by the mid-sternal minimum, whose voltage reaches one millivolt or more beneath the level of the central terminal (fig. 4a). The two minima finally merge together and the potential distribution becomes again "dipolar" (fig. 4b) ; at this stage the minimum of potential is located near the midline, at the level of the fourth sterno-costal joint and the maximum is located at the left of the minimum and more caudally (fig. 4b). This pattern is most frequently observed during the last part of the rise, the peak and the first part of the fall of the R wave in lead 2. In the subject whose potential distribution is illustrated in figures 2b to 5a, this "dipolar" stage had a duration of 15 msec (figs. 4c and 5b). In some cases, however, two simultaneous minima of potential are still present after the peak of the R wave in lead 2 (fig. 5b, case 3). During the last stages of ventricular activation a series of new events occurs in the majority of eases: the potential maximum migrates progressively toward the left axillary and dorsal region, covering a distance of 15 to 30 cm, while the minimum maintains its former position. Meanwhile, another maximum appears near the upper end of the sternum (figs. 4d and 5a). Thus, during this period, two separate potential maxima and one minimum are simultaneously present on the surface of the trunk. The two maxima are antipodally located with respect to the center of the heart (fig. 5a). The anterior maximum reaches a level of 0.15 to 0.40 mv above the central terminal; similar values are attained by the dorsal maximum. In many cases this situation remains unaltered up to the end of ventricular activation time (fig. 5b) ; in some instances, during the latest stages of ventricular depolarization the dorsal maximum disappears while the anterior one is still present; in other cases, the anterior minimum divides into two separate minima during the last milliseconds of the QRS interval. The above-described events have been observed in the great majority of the subjects examined. Occasionally the potential patterns were slightly different from those described above. In one subject, however, (no. 2), FIGURE 3 (a, b, c, d) Isopotential maps of the thoracic surface of subject no. 1 corresponding to the instant of time indicated at the lower right of the figures, (a>) At the beginning of ventricular activation the potential distribution is dipolar, with one precordial maximum and one dorsal minimum, (b) The dorsal minimum migrates toward the right shoulder, (c) The preeordial maximum migrates slowly towa/rd the left mamtnillary line; the minimum appears anteriorly in the right pectoral and sub-clavicular region. Isopotential lines 0.25 and 0.5 shoiv a double bending xvhen passing through the para-sternal region, at the level of the nipples. In this region, a new minimum will soon appear, (d) The new minimum has now appeared, in the pre-sternal region, at the level of the 4th intercostal space. In this phase of ventricular depolarization, two minima, one maximum and one saddle can be observed on the anterior thoracic surface. The potential values are in millivolts. Circulation Research, Volume XII, April 1SOS HEAET POTENTIALS ON THORACIC SURFACE Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 Circulation Research, Volume XII, April 1963 345 346 TACCARDI Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 only one maximum and one minimum were observed during the whole activation time, though it may be possible that the lacking details of the potential pattern would have appeared, had the number of instants studied or the accuracy of the measurements been increased. In rare cases on the contrary, additional maxima or minima have been observed. In case 13, for instance, two precordial maxima were present during the fall of the E wave in lead 2 (fig. 5c). A similar pattern is often observed in dogs, at an earlier stage of ventricular depolarization. In other cases, an additional minimum of potential was observed in the left axillai^ region at the beginning of the QES interval. Discussion The above-described results show that in man, as in dogs, the distribution of heart potentials on the body-surface is either dipolar or multipolar, depending on the instant which is considered. During the dipolar periods the potential pattern is similar to that which would be observed if a single equivalent dipole were substituted for the heart. The only information obtainable from surface measurementduring these intervals concerns the magnitude and orientation of the dipolar moment, and possibly the location of the equivalent dipole. Consequently, nothing can be deduced about the multiple depolarization waves traveling simultaneously through the heart. The "intrinsicoid" deflections observed during these periods are correlated to rotation or shifting of the equivalent dipole and do not necessarily indicate activation of the myoeardial regions facing the exploring electrode. During the "multipolar" phases, however, chest leads do yield information about local electrical events. Thus, for instance, the positive wave appearing at the end of the QRS interval in leads exploring the upper end of the sterna] region (fig. 2a) is typically a local phenomenon, being only present over an area covering a few square cm. Unfortunately, all the local details contained in the precordial electrocardiograms are not as evident as the above-mentioned wave and, generally speaking, it is impossible to detect the points of traiisition from the dipolar to the local components of a given human electrocardiogram by merely inspecting or measuring it. As previously observed for the dog, this discrimination can be done by examining isopotential maps. In normal human subjects the thoracic potential distribution is dipolar during a large part of the QRS interval; however, a multipolar distribution can be observed in most cases during a total time attaining 20 to 35 msec (fig. 5b). In cardiac patients the timerelationships between bipolar and multipolar phases, as well as the number, location and time course of potential maxima and minima are often quite different from those observed in normal subjects. The results of thoracic explorations performed in heart patients will be described in a subsequent paper. The data yielded by isopotential maps of the chest surface do not by themselves permit establishing a close relationship between surface and intracardiac electrical events. NeA'ertheless, a tentative explanation of the observed phenomena might be suggested on the basis of the most generally accepted descriptions of the ventricular activation processes (Lepeseh- FIGURE 4 (a, b, c, d) Isopotential maps of the thoracic surface of subject no. 1 corresponding to the instant of time indicated at the lotuer right of the figures, (a) The upper minimum moves toivard the region occupied by the new minimum, (b) The two minima merge together. The shape of isopotential line —1, lioivever, reveals that the fusion of the two minima is not yet complete, (c) The fusion of the two minima is now complete and the potential distribution is once again of the dipolar kind, (d) The precordial maximum moves to the left; meanwhile, another maximum appears in the upper pre-sternal region. (The region surrounded by isopotential line —.1 is a maximum, its potential being higher than that of the neighboring regions.) Circulation Research, Volume XII, April 196S HEART POTENTIALS ON THORACIC SURFACE Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 Circulation Research, Volume XII, April 1S6S 347 348 TACOAEDI 16 Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 kin). The precordial maximum and the dorsal minimum appearing at the beginning of QRS are probably due to septal activation and to early depolarization of the right ventricular wall. In the following stages the main wavefronts are oriented in a base-apex direction and this fact explains the migration of the potential minimum toward the right deltoid and clavicular region and the shift of the maximum toward the left mammillary line. Thereafter, an activation wave reaches the surface of the right ventricular wall; the minimum appearing at this instant near the sternal midline may possibly be related to this event. It is particularly interesting to remark that in subjects with right bundlebranch block the sternal minimum appears very late, up to 80 msec after the beginning of ventricular depolarization. In most normal cases the sternal minimum excavates, so to speak, a "niche" in the region previously occupied by isopotential lines surrounding the maximum (figs. 3d and 4a). This behavior could be expected if a part of the electromotive forces directed toward the right precordium suddenly disappeared because of complete activation of a circumscribed zone of the right ventricular wall, while similar forces are still present all around. This may well be the external manifestation of Sehaefer's epicardial " Quellpunkt, " 1 7 the region of the right ventricular wall where the earliest epicardial negativity can be observed. However, this is only a tentative explanation of the events observed ; an experimental confirmation of this view is still lacking. The maximum of potential observed in the left and inferior portion of the precordium in the phases of ventricular activation illustrated by figures 3d and 4a may be ascribed to the main wavefronts traveling toward the apex while the "saddle" is probably due to another wavefront traveling in the upper parts of the right ventricular myocardium. After the fusion of the two minima, a dipolar situation occurs, during which no conclusion about local intracardiae events can be drawn. However, during this period, the methods suggested by Gabor and Nelson18 or Bayley19 would be helpful in determining the intra-thoracic location of the equivalent dipole. The disappearance of the saddle at this stage (fig. 4b) does not necessarily imply that the wavefront originating it has extinguished, but only that it does not generate enough current to distort in a measurable way the dipolar equipotential lines. It is generally admitted that during the last FIGURE 5 (a) Isopotential maps of the thoracic surface of subject no. 1 corresponding to the instant of time indicated at the lower right of the figure. One maximum of potential is noiu located in the dorsal region; the sternal maximum has attained a level of 0.4 mv above the central terminal. Two maxima are antipodally located with respect to the center of the heart, (b) The reference lead (QB.S complex of standard lead 2, when not otherwise indicated) of the 15 subjects examined. The hatched rectangles indicate the phases of ventricular activation during which a multipolar potential distribution was observed on the thoracic surface. In each tracing the left rectangle generally indicates the presence of two simultaneous minima; the right rectangle indicates the presence of two maxima. In case 2 a dipolar pattern was observed during the whole QRS interval, (c) Distribution of heart potentials on the chest ivall of subject no. 13, during the fall of the R wave in lead 2. Tivo potential maxima, on the right and left side of the thorax, are simultaneously present. A similar distribution is sometimes observed on the dog's chest.1 (d) (From Hertault et al., Arch. Mai du Coeur, 55: 193, 1962) D 1 and .V 1: standard lead 1 and precordial lead V 1. E (left): Unipolar electrocardiogram obtained from cavity of pulmonary artery (to be compared with tracing C in figure 2a). E (right): Unipolar electrocardiogram with tip of recording catheter immediately below the pulmonary valve. The positive wave indicates activation of the "crista supraventricularis." Circulation Research, Volume XII, April 1S6S HEART POTENTIALS ON THORACIC SURFACE Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 ftTT Circulation Research, Volume XII, April 1S6S 349 350 Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 stages of ventricular depolarization the electrical activity is confined to the posterior wall of the left ventricle, to the "crista supraventricularis" and possibly to the upper and posterior portion of the inter ventricular septum. The dorsal maximum of potential observed at this stage (fig. 5a) is probably related to the left ventricular activation while the anterior maximum might be correlated to the activity of the "erista supraventricularis." Comparison of isopotential maps with a chest radiograph of subject no. 1, taken in the dorsal recumbent position, showed that the maximum of potential appearing anteriorly during the last third of QRS (figs. 4d and 5a) is located exactly before the main stem of the pulmonary artery. Electrocardiograms obtained by Kossmann et al.20 and, more recently, by Hertault and his associates21 from the cavity of the pulmonary artery and from the right ventricular cavity, with the tip of the catheter touching the "erista supraventricularis" show a positive wave occurring during the last third of the QRS interval (fig. 5d) which resembles those recorded by ourselves from the upper end of the sternal region (fig. 2a). These findings support our view ascribing to activation of the "erista supraventricularis" the maximum of potential appearing in the pre-sternal region during the last third of the QRS interval (figs. 4d and 5a). The descriptions of the instantaneous distribution of heart potentials which have been published in the past 3 ' 4 are rather dissimilar and lead to contradictory conclusions. It should be pointed out that the results of an exploration of the thoracic surface are dependent on the technique used. Whether one does or does not find proximity potentials is dependent on the spacing between electrodes, the size of the electrodes, the amount of amplification used, the individual being tested, and the instant of time during the cardiac cycle.s More details will be found in the future when the technical conditions are improved. In the present state of the technique the limiting factor is the necessity of measur- TACCABDI ing tracings obtained from different systoles. In a given subject the potential distribution corresponding to different systoles is not always quite identical, owing to respiratory changes and to variations of ventricular volume following slight changes of the heart rate. The choice of a correct base-line and the finding of isochronous points on the tracings also imply a certain amount of error. The influence of such errors can be minimized by accurate experimentation, but several controls are necessary to make sure of the exactness of the results. The best way to verify the results of an exploration is, probably, the repetition of the exploration in the same subject. Most of the errors described are randomly distributed and the probability of repeating identical errors in different experiments is small. The accuracy of the measurements, however, could be greatly increased if it were possible to record simultaneous electrocardiograms from all the explored points. Conclusions The problem of establishing how many electrocardiograph ic leads are necessary to collect the entirety of the information obtainable from body-surface measurements has not yet been solved satisfactorily. It has been considered for years that the three standard leads contain most of the essential data on the electrical activity of the heart; it appeared later that these leads explore mainly the frontal component of the cardiac electromotive forces, and new leads were introduced with the purpose either to explore the dipolar components of the cardiac electromotive forces lying outside the frontal plane, or to obtain "local" information or both. The double role of chest leads, that of exploring the non-frontal components of the resultant cardiac electromotive force, and that of exploring "local" or "proximity" potentials makes their interpretation rather difficult in some cases. The results of experiments reported in this and previous papers show that both interpretations of the precordial leads are justified, provided they are applied during the proper time-interval. However, the onty way presently available to Circulation Research, Volume XII. April 19C3 351 HEART POTENTIALS ON THORACIC SURFACE Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 determine the limits of the dipolar and multipolar intervals, as well as the location of proximity potentials, is the construction of isopotential maps, a method which is unfortunately not applicable to current clinical practice, at least in the present state of the technique. The experimental use of this method, however, yields useful data to physiologists and clinicians for the following reasons : 1. Isopotential maps indicate the number, location and time course of potential maxima and minima during various phases of the cardiac cycle; they also yield some information about the probable intracardiac location of the main groups of active fibers. 2. They show that significant information on the electrical activity of the heart is to be found on the thoracic wall outside the regions explored by routine chest leads. 3. They indicate during which portions of the QRS interval the thoracic potential distribution is "dipolar" and during which other parts it is "multipolar." This is particularly important when one applies methods for determining the intra-thoracic location of the equivalent dipole,18-19 because these methods are only applicable during the ''dipolar" phases. 4. Isopotential maps give a representation of the electrical activity of the heart which is not dependent on the particular reference point used for the measurements. 5. They make it possible to correlate measurements taken from one point of the thorax with those taken from all the other points of the body surface at the same instant. The correlation of multiple simultaneous values is particularly difficult to perform when examining ordinary peripheral and chest leads. 6. All the electrocardiograms which would be obtained in a given subject by leading off from any possible couple of points arbitrarily chosen on the surface of the trunk, including most "loaded" leads, can be easily predicted from isopotential maps, by means of a simple calculation. Circulation Research, Volume XII, April 196S Summary The distribution of isopotential lines on the thoracic surface of 15 normal subjects aged 15 to 43 was determined at 10 to 20 instants of time during ventricular activation. At the beginning of the QRS interval a precordial maximum and a dorsal minimum of potential can be observed. Thereafter, the minimum migrates toward the right shoulder and appears then anteriorly in the right subclavicular fossa, while another minimum appears near the mid-sternal line. The two minima finally merge together, and the potential distribution becomes dipolar once again. During the last third of the QRS interval the maximum of potential moves toward the left axillary and dorsal region, while a new maximum appears near the upper end of the sternum. A tentative correlation between surface and intracardiac electrical events can be established on the basis of the most generally accepted descriptions of ventricular activation processes. During some phases of ventricular activation, the potential distribution on the surface of the body is of the dipolar type, and there are no measurable local components; during other phases of ventricular depolarization, however, proximity potentials do appear on the thoracic surface, yielding information about local activation waves. When the ventricular activation is altered, the location and time course of local and dipolar potentials show important modifications. Acknowledgment The author wishes to express his gratitude to Professor G. E. Ghiiiirdi for the support and encouragement lie provided. References 1. TACCARDI, B.: La suecessione dei fenomeni elettrici di origine cardiaca sulla superficie del tronco nel cane e nell'uomo. Boll. Soc. Ital. Biol. Sper. 37: 1603, 1961. 2. TACCARDI, B.: Distribution of heart potentials on dog's thoracic surface. Circulation Res. 11: 862, 1962. 3. FRANK, E.: Absolute quantitative comparison of instantaneous QRS equipotentials on a normal subject with dipole potentials on a homogenous torso model. Circulation Res. 3: 243, 1955. 352 TACCARBI MAURO, A., NAHTJM, L. H., SIKAND, E. 8., AND CHERNOPF, H.: Equipotential distribution for the various instants of the cardiac cycle on the body surface of the dog. Am. J. Physiol. 168: 584, 1952. TEH, G. C. K., MARTINEK, J., AND DE BEAUMONT, H.: Multipole representation of current generators in volume conductors. Bull. Math. Biophys. 20: 203, 1958. OKADA, E. H . : An experimental study of multiple dipole potentials and the effects of inhomogeneities in volume conductors. Am. Heart J. 54: 567, 1957. Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 SCHEK, A. M., YOUNG, A. C, 14. 15. 16. 17. WILSON, F . N., MACLEOD, A, G., AND BARKER, P. S.: The distribution of the currents of action and injury displayed by heart muscle and other excitable tissues. Univ. Michigan Press, Ann Arbor, 1933. 18. 19. 20. G., AND NICOLAI, P . : Le champ eleetrique cree a la surface du thorax par l'aetivite du eoeur. Son interpretation vectoriclle. Arch. Mai. du Coeur 46: 508, 1953. LEPESCHKIN, E.: Modern Electrocardiography. Williams & Wilkins Co., Baltimore, 1951. SOHAEPER, H., AND TRAUTWEIN, W.: Tiber die GABOR, D., AND NELSON, C. V.: Determination of the resultant dipole of the heart from measurements on the body surface. J. Appl. Physiol. 25: 413, 1954. BAYI.EY, R. H.: Application of boundary potentials to several electrocardiograrjhic problems. Am. Heart J. 61: 684, 1961. KOSSMANN, C. E., BERGEK, A. B., EADER, B., BRUMLIK, J., BRILLER, S. A.., AND DONNELLY, J. H.: Intraeardiac and intravascular potentials resulting from electrical activity of the normal human heart. Circulation 2: 10, 1950. WILSON, F . N., JOHNSTON, F. D., EOSENBAUM, F. F., ERLANGER, N., KOSSMANN, C. E., HECHT, H., COTRIM, N., DE Ol.IVERA, E. M., Sf!ARSI, R., AND BARKER, P. S.: The precordial electrocardiogram. Am. Heart J . 27: 19, 1944. RIJLANT, P . : L'oscillogramme eathodique ilu coeur humain. C. R. Soc. Biol. 114: 546, 1933. RI.ILANT, P . : Introduction a. 1'etude de la dis- JOUVE, A., ALBOUT, P., VELASQUE, G., BERGIER, elementare elektrischen Prozesse in Herzmuskel und ihre Eolle fiir eine neue Theorie des Elektrokardiogramms. Pfliigers Arch. ges. Physiol. 251: 417, 1949. AND MEREDITH, W. M.: Factor analysis of the electrocardiogram. Test of eleetrocardiographie theory: normal hearts. Circulation Res. 8: 519, 1960. NELSON, C. V.: Human thorax potentials. Ann. N. Y. Acad. Sei. 65: 1014, 1957. TACCARDI, B . : La distribution spatiale des potentiel cardiaques. Acta, Cardiol. 13: 173, 1958. tribution spatiale des variations de potentiel produites par le coeur ehez l'homme. C. E. Soc. Biol. 121: 1358, 1936. Kijl.ANT, P . : L'elcetrogenesc globale da coeur chez l'homme. Aeta Cardiol. 13: 349, 1958. 20. HERTAULT, J., PUEOH, P., AND LATOUR, H.: L'activation de l'infundibuhim pulinonaire che/. I'homme. Application de 1'eleetrocardiogramme endocavitarie a 1 'etude des aspects de bloc droit. Arch. Mai. du Coeur 55: 193, 1962. •eh. Volume XII, April.1BOS Distribution of Heart Potentials on the Thoracic Surface of Normal Human Subjects BRUNO TACCARDI Downloaded from http://circres.ahajournals.org/ by guest on June 18, 2017 Circ Res. 1963;12:341-352 doi: 10.1161/01.RES.12.4.341 Circulation Research is published by the American Heart Association, 7272 Greenville Avenue, Dallas, TX 75231 Copyright © 1963 American Heart Association, Inc. All rights reserved. Print ISSN: 0009-7330. Online ISSN: 1524-4571 The online version of this article, along with updated information and services, is located on the World Wide Web at: http://circres.ahajournals.org/content/12/4/341 Permissions: Requests for permissions to reproduce figures, tables, or portions of articles originally published in Circulation Research can be obtained via RightsLink, a service of the Copyright Clearance Center, not the Editorial Office. Once the online version of the published article for which permission is being requested is located, click Request Permissions in the middle column of the Web page under Services. Further information about this process is available in the Permissions and Rights Question and Answer document. Reprints: Information about reprints can be found online at: http://www.lww.com/reprints Subscriptions: Information about subscribing to Circulation Research is online at: http://circres.ahajournals.org//subscriptions/