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Non-linear pressure-volume relation in left ventricle.

R M Shoucri
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Abstract

A thick-walled elastic cylinder contracting symmetrically is used as a model for the myocardium. The active force generated by the myocardium during systolic contraction is represented by body force (force/unit volume of myocardium). A mathematical formalism previously developed and based on large deformation analysis is used to derive a quadratic equation to represent the non-linear pressure volume (P-V) relation in the left ventricle in the Suga-Sagawa model. Experimental application of the results obtained confirms the consistency of the mathematical formalism developed to describe the P-V curve in the Suga-Sagawa model.

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HumansMathematicsModels, CardiovascularMyocardial ContractionVentricular Function, LeftJournal Article

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R M Shoucri. 1991. Non-linear pressure-volume relation in left ventricle.. https://doi.org/10.1536/ihj.32.337

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