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使用集总参数法对心血管系统动力学进行数学建模。

Mathematical modeling of cardiovascular system dynamics using a lumped parameter method.

作者信息

Shim Eun Bo, Sah Jong Youb, Youn Chan Hyun

机构信息

Division of Mechanical & Biomedical Engineering, Kangwon National University, Kangwon-do 200-701, Republic of Korea.

出版信息

Jpn J Physiol. 2004 Dec;54(6):545-53. doi: 10.2170/jjphysiol.54.545.

DOI:10.2170/jjphysiol.54.545
PMID:15760487
Abstract

This work reviews the main aspects of cardiovascular system dynamics with an emphasis on modeling hemodynamic characteristics by the use of a lumped parameter approach. The methodological and physiological aspects of the circulation dynamics are summarized with the help of existing mathematical models. The main characteristics of the hemodynamic elements, such as the heart and arterial and venous systems, are first described. Distributed models of an arterial network are introduced, and their characteristics are compared with those of lumped parameter models. We also discuss the nonlinear characteristics of the pressure-volume relationship in veins. Then the control pathways that participate in feedback mechanisms (baroreceptors and cardiopulmonary receptors) are described to explain the interaction between hemodynamics and autonomic nerve control in the circulation. Based on a set-point model, the computational aspects of reflex control are explained.

摘要

这项工作回顾了心血管系统动力学的主要方面,重点是使用集总参数方法对血流动力学特征进行建模。借助现有的数学模型总结了循环动力学的方法学和生理学方面。首先描述了血流动力学元件的主要特征,如心脏以及动脉和静脉系统。介绍了动脉网络的分布式模型,并将其特征与集总参数模型的特征进行了比较。我们还讨论了静脉中压力-容积关系的非线性特征。然后描述了参与反馈机制的控制途径(压力感受器和心肺感受器),以解释循环中血流动力学与自主神经控制之间的相互作用。基于设定点模型,解释了反射控制的计算方面。

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Mathematical modeling of cardiovascular system dynamics using a lumped parameter method.使用集总参数法对心血管系统动力学进行数学建模。
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