Bulletin of Mathematical Biology

, Volume 50, Issue 1, pp 35–41 | Cite as

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

  • R. M. Shoucri


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.


Left Ventricle Halothane Stroke Volume Oxygen Consumption Rate Left Ventricular Cavity 


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Copyright information

© Society for Mathematical Biology 1988

Authors and Affiliations

  • R. M. Shoucri
    • 1
  1. 1.Department of Mathematics and Computer ScienceRoyal Military College of CanadaKingstonCanada

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