Analysis of systemic behavior of circulatory system: theoretical study by electrical circuit model

H. Hirayama, T. Nishimura, Y. Fukuyama
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引用次数: 1

Abstract

System analysis was applied for total cardiovascular system expressed by linear electrical circuit model. The system was comprised of systemic circulation, pulmonary circulation, arterial and venous circulation. Cardiovascular system was shown to be stable but uncontrollable. The singular values decreased rapidly at physiological frequency range while it showed positive values at low frequency. The amplitude and the duration of oscillation of the impulse responses and the singular values with optimized feedback control were markedly smaller than those without it. Thus in the autonomous state of cardiovascular system, adequate control of venous return is the most critical point to achieve optimal circulatory state. Present investigation must afford some insights to disclose the characteristic properties of cardiovascular system.
循环系统的系统行为分析:电路模型的理论研究
用线性电路模型对整个心血管系统进行系统分析。该系统由体循环、肺循环、动脉循环和静脉循环组成。心血管系统稳定但不可控。奇异值在生理频率范围内迅速下降,在低频范围内呈正值。采用优化反馈控制的脉冲响应的幅值、振荡持续时间和奇异值均明显小于未采用优化反馈控制的脉冲响应。因此在心血管系统自主状态下,充分控制静脉回流是达到最佳循环状态的最关键环节。目前的研究必须为揭示心血管系统的特性提供一些见解。
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