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Geometric and muscle physiological determinants of cardiac stroke volume as evaluated on the basis of model calculations

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Summary

Based on model calculations a mathematical approach has been developed which permits an analysis and approximative evaluation of the significance of geometric and various muscle physiological factors for cardiac stroke volume with respect to anatomical ventricular size. Despite increasing wall stress the stroke volume generally increases with growing anatomical heart size, reaching a maximum beyond which it falls off. On the basis of the model of a thick-walled sphere for the left ventricle, stroke-volume-radius relations have been calculated for three different types of chronic ventricular enlargement (constancy of wall thickness, wall volume, or of the ratio of wall thickness to inner radius) in particular. In all three cases stroke volume increases with chronic enlargement of the heart, at least to a certain extent. Thus, stroke volume can be augmented with increasing anatomical heart size under constant contractile conditions despite decreasing ejection fraction. This fact has to be considered in the assessment of ventricular function.

Nomograms are obtained by varying contractility, wall thickness, or endsystolic pressure while kee** the other contractile conditions constant, thus permitting the evaluation of the effect of therapeutic measures in the presence of cardiac dilatation.

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References

  1. Gould P, Brombolich L, Ghista DN, Mirsky I (1972) Analysis of the in vivo stresses in the wall of the human left ventricle accounting for its irregular three-dimensional geometry. J Biomechanics 5:521

    Google Scholar 

  2. Gülch RW, Jacob R (1975) Length-tension diagram and force-velocity relations of mammalian cardiac muscle under steady-state conditions. Pflügers Arch 355:331–346

    Google Scholar 

  3. Gülch RW (1986) The concept of “end-systolic” pressure-volume and length-tension relations of the heart from a muscle physiologist's point of view. Basic Res Cardiol 81 (Suppl 1):51–57

    PubMed  Google Scholar 

  4. Hepp A, Hansis M, Gülch R, Jacob R (1974) Left ventricular isovolumetric pressure-volume relations, “diastolic tone”, and contractility in the rat heart after physical training. Basic Res Cardiol 5:516–532

    Google Scholar 

  5. Hood WP, Thomson WJ, Rackley CE, Rolett EL (1969) Comparison of calculations of left ventricular wall stress in man from thin-walled and thick-walled ellipsoidal models. Circulation Res 24:575–582

    PubMed  Google Scholar 

  6. Jacob R, Vogt M, Noma K (1987) Chronic cardiac reactions. I. Assessment of ventricular and myocardial work capacity in the hypertrophied and dilated ventricle. Basic Res Cardiol 82 (Suppl 2): 137–145

    Google Scholar 

  7. Jacob R, Gülch RW (1988) Functional significance of ventricular dilatation. Reconsideration of Linzbach's concept of chronic heart failure. Basic Res Cardiol 83:461–475

    PubMed  Google Scholar 

  8. Mirsky I (1969) Left ventricular stresses in the intact human heart. Biophys J 9:189–208

    PubMed  Google Scholar 

  9. Mirsky I (1973) Ventricular and arterial wall stresses based on large deformation analyses. Biophys J 13:1141–1159

    PubMed  Google Scholar 

  10. Mirsky I (1974) Review of various theories for the valuation of the left ventricular wall stress. In: Mirsky I, Ghista DN, Sandler H (eds) Cardiac Mechanics: Physiological, Clinical and Mathematical Considerations. J Wiley & Sons, New York, pp 381–409

    Google Scholar 

  11. Sagawa K (1981) The end-systolic pressure-volume relation of the ventricle: Definition, modifications and clinical use. Circulation 63:1223–1227

    PubMed  Google Scholar 

  12. Sandler H, Dodge HT (1963) Left ventricular tension and stress in man. Circulation Res 13:91–104

    PubMed  Google Scholar 

  13. Streeter DD, Vaishnav RN, Patel DJ, Spotnitz HM, Ross J Jr, Sonnenblick EH (1970) Stress distribution in the canine left ventricle during diastole and systole. Biophys J 10: 345–363

    PubMed  Google Scholar 

  14. Wong AYK (1973) Myocardial mechanics: Application of sliding-filament theory to isovolumic contraction of the left ventricle. J Biomechanics 6:565–581

    Google Scholar 

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Dedicated to Prof. Dr. H.-E. Hoffmeister, Abt. Thorax-, Herz- und Gefäßchirurgie, Universität Tübingen, on the occasion of his 60th birthday.

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Gülch, R.W., Jacob, R. Geometric and muscle physiological determinants of cardiac stroke volume as evaluated on the basis of model calculations. Basic Res Cardiol 83, 476–485 (1988). https://doi.org/10.1007/BF01906677

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