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A mathematical derivation of the P-V relation at end-systole

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Abstract

A dynamical model of the left ventricle as a thick-walled cylinder contracting radially is used to derive the P-V (pressure-volume) relation in the left ventricular cavity during contraction. It is shown how the mathematical results derived could apply to experimental results.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Royal Military College of Canada, K7K 5L0, Kingston, Ontario, Canada

    R. M. Shoucri

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  1. R. M. Shoucri
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Shoucri, R.M. A mathematical derivation of the P-V relation at end-systole. Bltn Mathcal Biology 50, 35–41 (1988). https://doi.org/10.1007/BF02459976

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  • DOI: https://doi.org/10.1007/BF02459976

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