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A Method for Determining Left Ventricular Mass in Man By CHARLES E. RACKLEY, M.D., HAROLD T. DODGE, M.D., YANK D. COBLE, JB., M.D., AND V ARIOUS methods have been devised by others for estimating the weight of the normal heart in man by relating heart wveight to body size and age.'1-3 In other studies the weight of the left ventricle has been compared to total heart weight in postmortem hearts.' ROBERT E. HAY, M.D. Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 clamping the aorta just above the aortic valvxes. The hearts were suspended over a Schonanderbiplane anlgiocardiogr-aphic unit so that the heart position and distances with respect to films and x-ray tubes simulated those present during angiocardiography in vivo when films are taken in the anteroposterior (a-p) and left lateral projections. Barium sulfate paste was injected into the left ventricular chamber to an initial known volume of 80 m]., followed by added known increments of 20 to 2.5 ml., until contrast material leaked at the mitracl xvalve, or the left ventricle ruptured. Biplane films were taken at each known volume over anl 80- to 300-ml. volume ranige, as indicated in figuire 1. On each film the image of the left ventricuilar chamber was traced, the enclosed area (A) was determined by planimetry, and the long axis (1) of the ventricular chamber was directlv measured. It was assu-med that the left ventricuiar chamber could be represented by anl ellipsoid reference figure. The transverse diameters (d) were caleulated from the a-p and lateral films bv use of the 4A formula for th:e area of aii ellipse: d . Each of the axes AA7cas corrected for distortion due to inonparallel x-ravs from knowledge of x-ray tubeto-film distances and left ventricle-to-film distanices. This method for correctinig for x-ray distortioII has been described previously.7 Left veentricular chamber volumes were cale-i lated by uise of the formula for the xvolume of an ellipsoid as described earlier:7 4 d~1 di I ^3 7r92 X2-2 wlhere d11 = transverse diameter calcullated from the a-p film; d1 = trainsver-se diameter calculated from the lateral film; 1 = maximum measured chamber length whether on the a-p or lateral film. The calculated volumes wvere corrected by a regression equationi obtained from previous studies: .' -0.928J 3.8 ml.* where V' is the adjusted volume and V7 is the xvolume calculated by the previous equation. On each a-p film the outer margin of the free left ventricular wvall was outlined, as illustrated in figure 2. A 4-cm. segment of the free left ventr-ictiular xa.111 at approximately the junction of the Smith's method for estimating the normal left ventricular mass has been utilized by Bing for determining left ventricular efficiency.4 Friedman, in radiographic studies of heart volume, demonstrated a relationship between the total heart v olume, myocardial volume, and tIme volume of the heart chambers.5 Furtlhermore. he demonstrated that the relation betw7eenit these volumes differed in patients with different types of heart disease, but he did nlot attempt to relate the volume or mutlscle imlass of individual cardiac chambers to the total heart volume. Amundsen, in extensive stud-ies of total heart volume, has discussed the clifficulty in detecting dilatation and hypertrophy of individual cardiac chambers from conventional x-ray films of the heart.; Th-e prese nt study is concerned with the development and clinical application of a method for dete-rti.nring left ventricular mass iin mail. Methods Twenty-three postmortem human hearts wvere prepared by suturing together the leaflets of the mitral valve, inserting a large-bore needle into the ventricular cavity through the aortic valves, and From the Medical Service of the Veterans Aclministration Hospital, and the Department of Medicine, University of Washington School of Medicine, Seattle, Washington. Supported in part by Grant H-3391-C5, U. S. Pulhlie Health Service, and by the Washington State Heart Association. Presented in part before the 35th Scientific Sessions, American Heart Association, Cleveland, Ohio, October 26-28, 1962. 6366 (ir(iilaltion, Voliume XXIX, May 1964 LEFT VENTRICU5LAR MASS 66f7 of the left ventr-icular chamber plus mtusele wall was dletermined by the following formuila: 4r i+hx'±j[hh v 240 wvhere V\ e+w equals volu.me of the left ventricular. clhamber. plus x\vall, hI equals wall thickness, and dL d1, and 1 are axes as defined in the pr-eviouis > 200 0 (quatv)11s. Left ventrictilar mass \vas calculated as follows: Left venitricuIl.ar inass eq(utals (V,. + s. Vt) 1.050, wx here V,-, and V' are ovlimes as pr-eviouisly defiiiel. The xvaltie 1 .050 is the specific gravity of 9160 0 C 120 00 80 ~ ~ ~0 000 000 Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 40 0 40 80 120 160 200 KNOWN VOLUME - CC 240 280 Figure 1 Calciiulateda left ventrictular chanhber toluinmesv of htman2ai p)o.stmortenm,t lhearts are related to kniiott volunmes. apical aiid middle third xvas selected, sinice this regioni is most clearly outlined on clinical angiocatrdiogrims. Care xw as taken to avoid iicludinig a papillary muscle in this segmeiit. The area of the selected segment was determined by plainimetry anid the average wvall thickness xw as obtained from the quotient of the segmenit area divided by the segmenit len-gth. An in-tegrated vall thickniess was used, since the irregular margins of the trabeculae result in a varying wall. thickness over aniiy given segment of xvall. The wall thickniess was corrected for distortionl from nonpariallel x-rays as follovs. The distance of the portioni of the left venitricuilar xvall selected for the measurement of thickniess to the plane of the cenltral x-ray beamn, as identified by a lead marker, was directly measiuired on} each a-p film. On the lateral film it was asstumed that this portiomi of the left ventriculair wxall wvas at approximately the level of the center of the opacified left ventricle. The distaince of the ecenter of the opacifled left venitriele to the planie of the cenitral x-raxbeam, as inidicated by a lead marker, was measured on the lateral film. These measurements fr-om the a-p anid lateral films anid the known x-ray tu-be-to-film distances were used to ctllculate the correction factors, which were applied to correct wall thickness for distortion due to nonparallel x-rav beams, as previously desciribed.7 The corrected wall thickness wvas added to each semi-diameter that wxas used for calculating the left ventricular clhamber voliinme, and the volume (; X,M/ ur/-iil{a/'(jua, Volume \XIX 196-i heart miiusele .a.s determined in stuidies by Bar(leeIl.s .This saime valuic for specific gravitv for hear t musele xas oI)tained for- onie heart in the present studyix TIhle left x entr-ictilartimass as defined in this .stlm(l is mepresemnted Ib th-ie weighlt of the free wall of the lekt ventricle an( the interventricularsepttiuIm. TIhle acttimal \veiglit of the postmortem left venitricle was deter-minied after r-emovinig the free right venitricuilair wall, the atria, the aortic land mitral valves, trabeculae from the right venitricui- Figure 2 An anteroposterior film. of a hlunman postmoritem heart (liste?(ldecl with contrast nmaterial. A segment of the free tva/llused for deterumining mcaill thickne.ss is illustrated. RACKLEY ET AL. 668 Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 lar side of the interventricular septum, and the epicardial fat. In six subjects left ventricular mass as calculated from angiocardiograms, which. were performed 1 to 15 months prior to death, was compared wxith left ventricular wveiglht determinied at postmortem examination. 'The method used. for calculating left ventricular mass wx as the same as that described for the postmortem hearts. The time of film exposure within the heart eyvcle wxas recorded as described elsewhere.9 Films recorded near end-diastole were used to calculate ventricular mass because the lateral xw all thickness is more clearly defined on films taken during the late diastolic phase of the heart cycle. Films taken during ventricular systole often showv coonsiderable irregularity of the inner wall of the ventricle, and prominent papillary muscles that project into the ven-tricular chamber make the wvall thickness difficult to define and measure clearly. Results There were 97 individual determinations of left ventricular chamber volume and mass on 23 postmortem hearts. Measurement of left ventricular mass by this method is dependent upon calculation of chamber volume and the volume of the chamber plus the ventricular wall. In figure 1, calculated left ventriculai chamber volume is related to the known volume of contrast material injected in.to the 500. Y = 0.99X- 11 S.E.E.= 23 GM E a - 400/ 0 300 ,200 100 0 100 200 300 ACTUAL WEIGHT - 400 500 grams Figure 3 The 97 determinations of left ventricular 23 postmortem hearts are camnpared to rmass values. mass thte in the, knozwn E Ea 4001 -I- I 0 ILl a gz U U ACTUAL WEIGHT - grams Figure 4 A .o7i"rsioi of postmortem left ventricular weights and v attes for left ventriculatlr weight calculated during life inix stxuibiects. chamber over a range of 80 to 300 ml. The regrerssion equation that expresses the relation betweein the known and calculated volumes and the standard error of estimate (15 ml.) is shown in the figure. T:he relation between the 97 calculated left ventricular mass values and the measured left ventrictular weights is illustrated in figure 3. The left ventr-icular mass was calculated at each charnber- volume so that there were one to niine individual calculations of mass on the 23 postmortem hearts. In figure 3, each calculated mass value is indicated by a horizontal line and the individual values for each ventriele are connected with a vertical line. The mneasured left ventricular weights were 121 to 453 Gm. The regression equation that related the measuired and calculated values and the standard error of estimate (23 Gm.) is shown in figure 3. Figure 4 contains a comparison of the postmortern left ventricular weight and left ventricular mticass as calculated from angiocardiograin.s performed during life in the six subjects. Figure 5 demonstrates an in vivo angiocardiogranm with the calculated values for chamrlbei volume, wall thickness, and mass. The se-gmii(ent of the free left ventrictular wall X YJ L.XIAL,v 1904 I.01-tll" I: 669 LEFT VENTRICULAR MASS gramrs of the riglt hleart anid from postmortem examiniationi of the heart. Discussion L.V. VOL. 262 c.c.::` ~~1.07cer. t LLVMASS 34 Qm7 Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 Figure 5 Atn aniter.op)o.stei.rior filInt of the opacified left ventriel of the subjects in figulre. 4. The chamiber volumnte, wcall thickness, portion of thei ventricueilar twall used to detertnine twall thickness, and calculated left venitricultar ?tnass ar.e illtustratedl. Cactluterts are positioned in the publntionoairzi aritery, left atri at endd-iastole front uti, and one left ventr'icl(e. that was uised for the determninationi of wall thickness is ouitlined. Filmns taken duirinig the end-diastolic portioni of the hleart eyele weTre tised for the calculatioins of ventricular mass as described. There xvere three to six calculated mass valtues oIn each subject as indicated by the horizontal lines in figure 4. The observations in each subject are coninected by a vertical line. The averages of the individual calculated values for mass in each subject are indicated by the longer horizonital lines. As shown in figure 4, the caleulated anid measuired values for ventricuilar mass agreed closely, except in one subject. This subject had pulmonary vaseular disease, marked puilmonary hypertension, and right ventr.icuilar dilatation and hypertrophy. The erroneously large calculated ventricuilar mass values were due to an enlarged right ventricle that projected to the left, beyond the free mnargin of the left ventricle, and resuilted in the appearance of an erroneouisly thick free wall of the left ventricle on the anteroposterior x-rayv films (fig. 6). This was e,vident from anglioardli)Ciri.jel,illon. Volyime XXIX, illal. 19(... .Il the inethccl descrile(l here, for (leterininig left xventricular chamber volume and nass, it is assumed that the left ventricular chamiber and chambler pluis wall cai 1)e represeintel(1 by aii ellipsoid reference figuire. Furthermore, it is assumned that the chamber volumew, cai-n be' caleulated from the projection.s of the ventricuilar chamber on l)iplane films after correction for distortionl (Ilue to nionipara.llel] \-Iavs, l)nbt witlhotot correctioni for di.stor-tion1 duce to r'otationl or positioni of the chamb1er. hTese assuminptions were tested in earlier studies of methods for determiniing the vxl-oh e of the left ventrictular chamber of postmiiortem lhearts. In these earlier studies, left ventrictilar cliamber volumes caleulated by the method used in this sttudy were coinpared to kniown voltumes anid volumes calctilated l)v mi-ore tedious metlhods, wxhich perm1it correctiol for distortion duie to ventricuilar rotation or position.7 Voluimes caleulated by these aiainois methods were similar. The comparison of knjown volumes aind caleulated voltmes ini the piresecit study demonstrated a .1 Figure 6 Anteroposterior filin of the opacified left ventricle in the sil)jeCt wvith marked riglht ventrcuilar enlargement. f'lure i.s the erroneotus appearance of atn increaised thickness of the lateral left vetntricular wall. 670 Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 somewhat higher standard error of estimate than was observed for this method for calculating volume in the earlier study. To calculate left ventricular mass by the method described here, it is necessary to determine a left ventricular wall thickness that is representative or has a relatively constant relation to the thickness of the ventricle as a whole. A segment of the free left ventricutlar wall as visualized on the anteroposterior film was selected, because this is the portion of the ventricular wall that is most often clearly seen and can be measured on angiocardiograms. There is evidence fromi postmortem studies by others that there is a relatively fixed and close relation between the thickness of the lateral left ventricular wall and interventricular septum.1" 1' The results of this study demonstrate a close relation between thickness of the lateral left ventricular wall, dimensions of the left ventriculaichamber, and the left ventricular mass. Left ventricular mass as determined in this study included the free wall of the left ventricle and the entire thickness of the interventricular septum. Others have dissected the septum into a right and left ventricuilar portion prior to weighing the left ventricle.'4 However, as discussed by others, an accurate division of the septum into right and left ventricular portions is very difficult, if not impossible,10-12, 15 and was not attempted in this study. The method used for dissecting and determining left ventricular weight in this study is similar to that used by others. 12 The method described here for determining left ventricular mass can only be applied when a segment of left ventricular wall is clearly visible and is representative of the over-all thickness of the left ventricle. Pericardial effusion or thickening would be, expected to give the appearance of an abnormally thickened left ventricular wall and invalidate the method. An erroneously thickappearing left ventricular wall was also demonstrated to be the case in the angiocardiograms from the subject with marked right ventricular hypertrophy in this study. In addition, this method cannot be applied to pa- RACKLEY ET AL. tients in whom the left heart border is obscured by a pleural effusion, a pulmonary lesion, or by the lateral rib cage, as is not uncommon in recumbent patients with greatly enlarged hearts. Finally, in patients with a venatricular aneurysm involving the free wall of the left ventricle and in patients with asymmnetric left venitricutlar hypertrophy, as has been described in some subjects with subaortic hypertrophic aortic stenosis,'" the freewall thickness would very likely not be representative of the thickness of the remainder of the left ventricle. In such patients, this method would not be expected to give a reliable estimation of left ventricular mass. Summary A method for determining left ventricular mass by the use of biplane angiocardiography is described. This method was tested on 23 postmortem human hearts with left ventricular weights of 121 to 453 Gm. The left ventricular chambers of these hearts were distended with known volumes of contrast material and biplane x-rays were recorded over an 80- to 300ml. range of volumes. Values for left ventricular mass were calculated from the biplane x-ray films and were demonstrated to agree closely with directly measured left ventricular weights. Th-e standard error of estimate was 23 Gm. In six patients, left ventricular weights were calculated from angiocardiograms performed during life and compared with postmortem left ventricular weights. There was close agreement between the calculated and measured values for ventricular weight in all but one subject. This subject had marked right ventricular hypertrophy which resulted in an erroneously large calculated value of left ventricular mass. References 1. SMITH, H. L.: The relation of the weight of the heart to the weight of the body and the weight of the heart to age. Am. Heart J. 4: 79, 1928. 2. ROSAHN, P. D.: The weight of the normal heart in adult males. Yale J. Biol. & Med. 14: 209, 1941. 3. ZEEK, P. M.: Heart weight: I. The weight of the normal hulman heart. Arch. Path. 34: 820, 1942. (irt 'laliohn, Voluine XXIX, AIav 196.; 671 LEFT VENTRICULAR MASS Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 4. BING, R. J., HAMMOND, M. M., HANDELSMAN, J. C., POWERS, S. R., SPENCER, F. C., ECKENHOFF, J. E., GOODALE, W. T., HAFKENSCHIEL, J. H., AND KETY, S. S.: The measurement of coronary blood flow, oxygen consumption, and efficiency of the left ventricle in man. Am. Heart J. 38: 1, 1949. 5. FRIEDMAN, C. E.: Heart volume, myocardial volume and total capacity of the heart cavities in certain chronic heart diseases. Acta med. scandinav. Suppl. 140: 257, 1951. 6. AMUNDSEN, P.: The diagnostic value of conventional radiological examination of the heart in adults. Acta radiol., Suppl., 181, 1959. 7. DODGE, H. T., SANDLER, H., BALLEW, D. W., AND LoRD, J. D., JR.: The use of biplane angiocardiography for the measurement of left ventricular volume in man. Am. Heart J. 60: 762, 1960. 8. BARDEEN, C. R.: Determination of the size of the heart by means of the x-rays. Am. J. Anat. 23: 423, 1918. 9. DODGE, H. T., HAY, R. E., AND SANDLER, H.: An angiocardiographic method for directly determining left ventricular stroke volume in man. Circulation Research 11: 739, 1962. 10. REINER, L., MAZZOLENI, A., RODRIGUEZ, F. L., AND FREUDENTHAL, R. R.: The weight of the human heart: I. Normal cases. Arch. Path. 68: 58, 1959. 11. REINER, L., MAZZOLENI, A., RODRIGUEZ, F. L., AND FREUDENTHAL, R. R.: The weight of the human heart: II. Hypertensive cases. Arch. Path. 71: 180, 1961. 12. GRANT, R. P.: Architectonics of the heart. Am. Heart J. 46: 405, 1953. 13. JONES, R. L.: The weight of the heart and its chambers in hypertensive cardiovascular disease with and without failure. Circulation 7: 357, 1953. 14. HERMAN, G. R., AND WILSON, F. N.: Ventricu- lar hypertrophy: A comparison of electrocardiographic and post-mortem observations. Heart 9: 91, 1922. 15. DRESCHEL, J.: Zur Architektur der Herzkammerwande. Ztschr. Anat. 87: 29, 1928. 16. MENGES, H., JR., BRADENBURG, R. 0., AND BROWN, A. L., JR.: The clinical hemodynamic and pathologic diagnoses of muscular subvalvular aortic stenosis. Circulation 24: 1126, 1961. The Observational Method in Clinical Medicine In order that observation should have its proper value certain principles must be thoroughly familiar. The true nature of the method must be understood, its special liabilities to fallacy must be known, and its weakness of trusting to intuition when actual proof is possible, overcome. There can be little doubt that it is this last-named characteristic of ordinary clinical practice that inclines the critics of the observational method in medicine to view it with so little charity or hope. In clinical work proof is usually difficult to obtain, often tedious and unencouraging to aittempt, and not rarely altogether impossible; at the same time any effort towards it is constantly overshadowed by the urgency to act. It is natural, therefore, for the expert clinician to rely on his intuition and judgement even when actual and final proof is possible, though this preference does constitute a reproach to the method from any scientific point of view. If clinical observation is to renew lits prestige and to continue its indispensable function of stimulating the experimental attack on medical problems, it can do so by showing resolution in looking for proof wherever proof is possible, and a scientific standard in its scrutiny of evidence.-The Collected Papers of Wilfred Trotter, F.R.S. London, Oxford University Press, 1946, p. 124. Circulaion, Volume XXIX, May 1964 A Method for Determining Left Ventricular Mass in Man CHARLES E. RACKLEY, HAROLD T. DODGE, YANK D. COBLE, JR. and ROBERT E. HAY Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 Circulation. 1964;29:666-671 doi: 10.1161/01.CIR.29.5.666 Circulation is published by the American Heart Association, 7272 Greenville Avenue, Dallas, TX 75231 Copyright © 1964 American Heart Association, Inc. All rights reserved. Print ISSN: 0009-7322. Online ISSN: 1524-4539 The online version of this article, along with updated information and services, is located on the World Wide Web at: http://circ.ahajournals.org/content/29/5/666 Permissions: Requests for permissions to reproduce figures, tables, or portions of articles originally published in Circulation 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. 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