A Study of Time-dependent Blood Flow Distribution in Ischemic
Myocardium and Its Dependence on Perfusion Pressure
with Modeling and Emulation
Wang Huaiyang Zheng Zhensheng Zhou Shaochun Liu Qiong Huang Xiaohong
Assistant Circulation Laboratory, Sun Yat-sen University of Medical Sciences, Guangzhou 510089
Post-doctoral Program on Automatic Control, Department Automatic Control, Ntional University
of Defence Technology, Changsha 410073
Abstract 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.
Key words Hemodynamics Coronary circulation Ischemia Collateral circulation Mathernatical model External counterpulsation
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