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The myocardium as a composite material: Analysis

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Abstract

As a further attempt to determine the stresses and strains of the individual myocardial fibers, the heart muscle is considered as an orthotropic material. A theory is presented which leads to the expression of the equilibrium conditions for the left ventricle in the form of three simultaneous differential equations. Solution of these equations would give the changes in shape of the left ventricle throughout the cardiac cycle, and, in addition, the stresses and strains of the individual myocardial fibers. It is pointed out, however, that meaningful solutions of the equations cannot be obtained at the present time because of difficulties in experimental determination of certain parameters.

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Author notes

  1. P. C. Voukydis

    Present address: Cardiovascular Laboratory, Beth Israel Hospital, Boston, Massachusetts

Authors and Affiliations

  1. Division of Clinical Pharmacology, Department of Medicine, Montreal General Hospital, Montreal, P.Q., Canada

    P. C. Voukydis

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  1. P. C. Voukydis
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Voukydis, P.C. The myocardium as a composite material: Analysis. Bulletin of Mathematical Biophysics 34, 173–204 (1972). https://doi.org/10.1007/BF02476515

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  • DOI: https://doi.org/10.1007/BF02476515

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