On the uniqueness of quasi-static solutions of some linear models of left ventricular mechanics.
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.
Aldroubi
A
A
Biomedical Engineering and Instrumentation Branch, National Institutes of Health, Bethesda, Maryland 20892.
Chadwick
R S
RS
D001696:Biomechanical Phenomena; D006321:Heart / Q000502:physiology*; D006801:Humans; D016014:Linear Models; D008433:Mathematics; D008955:Models, Cardiovascular; D016277:Ventricular Function, Left