Key result
An electrical circuit model based on optimal control principles successfully reproduced physiological features of systolic coronary circulation, including arterial reversal flow and biphasic venous forward flow.
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An electrical circuit model based on optimal control principles can theoretically reproduce key physiological features of systolic coronary circulation, such as arterial reversal flow and biphasic venous forward flow.
We have suggested that the systolic coronary circulation is dominated by optimal control principle. The coronary circulation was expressed by electrical circuit model which was comprised of extra myocardial, epicardial and end cardial compartments each of which have arterial and venous sides. The optimality was expressed by minimizing the pressures, flow rates at each compartment and aortic pressure, intra myocardial pressures. The optimal solution could reproduce, 1) arterial reversal flow, 2) 2 phases forward flow in venous system, 3) augmentations in reversal flows in arterial system by increased resistances and decreased compliance of vessels and 4) physiological values of aortic pressure and intra myocardial pressures.
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Hirayama et al. (1995) studied Systolic coronary circulation. Electrical circuit model was evaluated on Reproduction of physiological values of aortic pressure, intra myocardial pressures, and flow rates. An electrical circuit model based on optimal control principles successfully reproduced physiological features of systolic coronary circulation, including arterial reversal flow and biphasic venous forward flow.
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