Study of time-dependent blood flow distribution in ischemic myocardium and its dependence on perfusion pressure with modeling and emulation

A mathematical model was proposed for studying the time-dependent blood flow distribution in ischemic myocardium with different developments of collateral circulation. The model includes the blood perfusion of normal myocardium and ischemic myocardium. There are three classical myocardial vascular nets in each part and each net is represented by a branch of time-dependent nonlinear resistance and compliance. Experimentally measured aortic pressure and left ventricular pressure from six male dogs were taken as input data for emulation. The results demonstrate that raising perfusion pressure with external counterpulsation can improve the blood perfusion condition in ischemic myocardium.