Key result
A revised mathematical model incorporating finite cross-bridge compliance successfully predicts force development and other dynamic behaviors of cardiac muscle.
A revised mathematical model of cardiac muscle dynamics successfully predicts a wider variety of experimental data regarding force development and stiffness than previously published models.
May refine in silico cardiac mechanics models; leaves open validation in human myocardium before broader use.
A mathematical model is presented describing the time- and length-dependent behavior of cardiac muscle. The model describes a wider variety of experimental data than do previously published models. It incorporates a modification of the Hill equation describing the force-velocity relation. Based on the sliding filament theory, the revised equation includes the effects of finite cross-bridge compliance proposed by A. F. Huxley. The essential simplicity of the Hill equation is retained; however, the model successfully predicts force development during both isometric and isotonic contractions, observed deactivation of the contractile element during isotonic shortening, and the apparent dependence of series elastic stiffness on time after stimulation during quick-release and quick-stretch experiments.
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Grood et al. (1974) studied Cardiac muscle dynamics. Mathematical model of cardiac muscle dynamics vs. Previously published models was evaluated on Force development during isometric and isotonic contractions, deactivation during shortening, and series elastic stiffness. A revised mathematical model incorporating finite cross-bridge compliance successfully predicts force development and other dynamic behaviors of cardiac muscle.
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