Ventricular interaction in a closed-loop model of the canine circulation
Chung, David C.
Clark, John W., Jr.
Master of Science
A mathematical model of the dynamic interaction between the ventricles over a complete cardiac cycle is presented. The ventricles are modeled as a three-walled system, each of which is individually characterized by a time-varying pressure-volume relationship. The model produces qualitative predictions of free wall and septal motions similar to those detected via M-mode echocardiography. The mode and degree of ventricular interaction are quantified using the concept of dynamic interaction gain. This model of ventricular interaction is then integrated into a lumped-parameter model of the canine closed-loop circulation, consisting of the right heart, pulmonary circulation, left heart, and the systemic circulation. The complete model generates realistic, continuous pressure waveforms, as well as, reasonable estimates of physiologic parameters for a normal dog. The complete model is utilized to assess the influence of ventricular interaction and the pericardium on cardiac mechanics and circulatory hemodynamics.