This paper presents a mathematical model and digital simulation of the mechanical cardiovascular system, specifically focusing on ventricular properties.
Hypothesis-generating ventricular model; leaves open validation against contemporary clinical and imaging data.
The history of our notions about cardiovascular regulation and the development of mathematical descriptions of the mechanical cardiovascular system are briefly reviewed. A mathematical model for the ventricle is developed which incorporates most of our current ideas about the fundamental properties of heart muscle (force-lenght, force-velocity, active state, homeometric autoregulation, series compliance). A FORTRAN program was written for convenient digital simulation, and some of the results of preliminary explorations are described.
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Grodins et al. (1970) studied this question.
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