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A concentric layer model for estimating the energy expenditure of the left ventricle

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Abstract

The energy cost of the left ventricle is quantitatively analyzed on the basis of the following assumptions: (1) The left ventricle is assumed to be an isotropic, homogeneous elastic, thick, spherical shell. (2) The ventricular wall is made up of a finite number of thin concentric shells. (3) The energetics of the left ventricle is in accordance with the second law of thermodynamics. An expression for the work done during ventricular contraction is derived according to the definition of physical work. The energy liberation during isovolumic contraction is formulated parallel to the concepts of heat production in skeletal muscle during isometric contraction. This expression gives the total work done per stroke in terms of mean systolic pressure, end diastolic volume, stroke volume and wall thickness during diastolic phase.

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Authors and Affiliations

  1. Department of Physiology and Biophysics, Dalhousie University, Halifax, Nova Scotia

    Alan Y. K. Wong Ph.D.

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  1. Alan Y. K. Wong Ph.D.
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Supported by a research fellowship and research grant from the Canadian Heart Foundation.

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Wong, A.Y.K. A concentric layer model for estimating the energy expenditure of the left ventricle. Bulletin of Mathematical Biophysics 32, 581–598 (1970). https://doi.org/10.1007/BF02476772

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  • DOI: https://doi.org/10.1007/BF02476772

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