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On the uniqueness of quasi-static solutions of some linear models of left ventricular mechanics
1Biomedical Engineering and Instrumentation Branch, National Institutes of Health, Bethesda, Maryland 20892.
Mathematical Biosciences
|May 1, 1990
Abstract:
We review two models describing the material properties of heart muscle: the fluid-fiber model and the fluid-fiber-collagen model. We show that the fluid-fiber description gives rise to non-uniqueness when used in ventricular modeling while the fluid-fiber-collagen description does not. We derive a general cavity pressure-volume relation for an extended class family of linear models of the heart's left ventricle.