A study of objective functions for organs with parallel and serial architecture

A hemodynamics model of cerebral Willis circulation is proposed. The model consists of the compensation of blood flow as well as the compliance, resistance and inductance of arteries. The impedances of carotid and vertebral arteries are obtained by solving the govern equations. The theoretical impedances correspond well with the experimental results. The simulating results demonstrate that the alteration of the arterial dynamic parameters influences not only the ipsilateral impedance but also the contralateral arterial system. These conclusions suggest that the carotid or vertebral impedance is not suitable for describing the behaviour of its own arterial system, because the impedance is also influenced by the other arterial system and blood pressure.