Determination of left ventricular diastolic wall stress and elasticity in situ. A methodological investigation*)

  • Ch. Brilla
  • R. Jacob
  • G. Kissling


A methodological study of the requirements for reliable determination of the left ventricular end-diastolic pressure-volume relationship, wall stress and wall elasticity was performed using angiocardiographic measurement of the inner volume and wall thickness, as well as simultaneous measurement of left ventricular pressure on closed-chest dogs. The reliability of the actual roentgenological volume determination was tested by comparing x-ray and direct volume measurement of ventricular casts.

The close correlation of angiocardiographic volume determination with direct volume measurement reveals that the area-length method of Sandier and Dodge permits reliable determination of left ventricular enddiastolic volume. During diastasis, the diastolic portion of the pressure-volume loop of an individual contraction coincides substantially with the static pressure-volume relationship, at low and medium heart rates. Only the pressure and volume changes during this period, corresponding to a short portion of the pressure-volume loop, should be used for an approximate determination of static wall elasticity, particularly in the volumeloaded heart. Under the conditions of the present experiments, ca. 50 % of the shift in the left ventricular diastolic pressure-volume relationship under hypoxia can be attributed to the influence of increased right ventricular filling. In an early phase of hypoxia, a contracture-like effect can be simulated by an increase in right ventricular pressure, although actual contracture does not yet occur. As in contracture, the decrease in ventricular distensibility due to geometric conditions neither changes the slope of the relation between reciprocal compliance @@@lineEquation@@@ and ventricular pressure (P) nor the relation between tangent elastic modulus (E) and wall stress (σ).

Key words

angiocardiography left ventricular casts left ventricular wall stress and elasticity myocardial stiffness hypoxia influence of right ventricular pressure 


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  1. 1.
    Brilla, Ch.: Wandspannung und Elastizität des linken Ventrikelmyokards unter Rechtsherzbelastung und Hypoxie im akuten Versuch. Thesis, University of Tübingen, 1983.Google Scholar
  2. 2.
    Diamond, G., J. S. Forrester: Effect of coronary artery disease and acute myocardial infarction on left ventricular compliance in man. Circulation 45, 11–19 (1972).PubMedGoogle Scholar
  3. 3.
    Glantz, S. A., W. W. Parmley: Factors which affect the diastolic pressure-volume curve. Circulat. Res. 42, 171–180 (1978).PubMedGoogle Scholar
  4. 4.
    Hepp, A., D. Gradistanac, G. Kissling, R. Jacob: Influence of catheter position on blood pressure values in the pulmonary artery of the dog. Basic Res. Cardiol. 68, 470–479 (1973).PubMedCrossRefGoogle Scholar
  5. 5.
    Holubarsch, Ch., R. Jacob: Diastolic tension of rat cardiac muscle during deficiency of oxygen and glucose. Stress-strain relationships and reversibility. Basic Res. Cardiol. 76, 690–703 (1981).PubMedCrossRefGoogle Scholar
  6. 6.
    Holubarsch, Ch., R. Jacob: Die „Compliance” des Herzens. Med. Welt 31, 136–144 (1980).PubMedGoogle Scholar
  7. 7.
    Jacob, R.: Anpassung des Herzens an veränderte Anforderungen. Pacemaker Digest 13, 83–116 (1977).Google Scholar
  8. 8.
    Jacob, R., Ch. Holubarsch, H. Moser, B. Brenner: Quantification of changes in myocardial elasticity under hypoxia. In: Heiss, H. W. (Ed.), Advances of Clinical Cardiology 1, 211–228. G. Witzstrock (New York 1980).Google Scholar
  9. 9.
    Jacob, R., G. Kissling: Dynamik des intakten Herzens. In: Handbuch der Inneren Medizin, VEB G. Fischer, Berlin (in pressGoogle Scholar
  10. 10.
    Janicki, J. S., K. T. Weber: Factors influencing the diastolic pressure-volume relation of the cardiac ventricles. Fed. Proc. 39, 133–140 (1980).PubMedGoogle Scholar
  11. 11.
    Lange, P. E., D. Onnasch, F. L. Farr, P. H. Heintzen: Angiocardiographic left ventricular volume determination. Accuracy, as determined from human casts, and clinical application. Europ. J. Cardiol. 8, 449–476 (1978).Google Scholar
  12. 12.
    Mirsky, I., W. W. Parmley: Evaluation of passive elastic stiffness for left ventricle and isolated heart muscle. In: Mirsky, L, Ghista, D. N., Sandler, H., Cardiac Mechanics. John Wiley & Sons Inc. New York, London, Sydney, Toronto, 331–358 (1974).Google Scholar
  13. 13.
    Mirsky, I.: Elastic properties of the myocardium: A quantitative approach with physiological and clinical applications. Handbook of Physiology, Sect. 2, The Cardiovascular System, Berne, R. M., Washington, D.C., 497–531 (1979).Google Scholar
  14. 14.
    Moser, H., R. Jacob: Diastolic tension during the initial phase of hypoxia in isolated cardiac muscle preparations and in the left ventricular wall of rats. Pflügers Arch. 368, Suppl. Rl (1977).Google Scholar
  15. 15.
    Rackley, Ch. E., H. T. Dodge, Y. D. Coble, R. E. Hay: A method for determining left ventricular mass in man. Circulation 29, 666–671 (1964).PubMedGoogle Scholar
  16. 16.
    Ross, J.Jr.: Acute displacement of the diastolic pressure-volume curve of the left ventricle: Role of the pericardium and the right ventricle. Circulation 59, 32–37 (1979).PubMedGoogle Scholar
  17. 17.
    Sandier, H., H. T. Dodge: The use of single plane angiocardiograms for the calculation of left ventricular volume in man. Amer. Heart J. 75, 325–334 (1968).CrossRefGoogle Scholar
  18. 18.
    Streeter, D. D., Jr., H. M. Spotnitz, D. P. Patel, J. Ross, Jr., E. H. Sonnenblick: Fiber orientation in the canine left ventricle during diastole and systole. Circulat. Res. 24, 339–347 (1969).PubMedGoogle Scholar
  19. 19.
    Ullrich, K. J., G. Riecker, K. Kramer: Das Druckvolumendiagramm des Warmblüterherzens. Pflügers Arch. 259, 481–498 (1954).PubMedCrossRefGoogle Scholar
  20. 20.
    Yin, F. C. P.: Ventricular wall stress. Circulat. Res. 49, 829–842 (1981).PubMedGoogle Scholar

Copyright information

© Dr. Dietrich Steinkopff Verlag, GmbH & Co. KG, Darmstadt 1983

Authors and Affiliations

  • Ch. Brilla
    • 1
  • R. Jacob
    • 1
  • G. Kissling
    • 1
  1. 1.Physiologisches Institut IIUniversität TübingenTübingenGermany

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