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心血管系统基本调节过程的数学模型。

A mathematical model for fundamental regulation processes in the cardiovascular system.

作者信息

Kappel F, Peer R O

机构信息

Institut für Mathematik, Universität Graz, Austria.

出版信息

J Math Biol. 1993;31(6):611-31. doi: 10.1007/BF00161201.

DOI:10.1007/BF00161201
PMID:8376919
Abstract

Based on the four compartment model by Grodins we develop a model for the response of the cardiovascular system to a short term submaximal workload. Basic mechanisms included in the model are Starling's law of the heart, the Bowditch effect and autoregulation in the peripheral regions. A fundamental assumption is that the action of the feedback control is represented by the baroceptor loop and minimizes a quadratic cost functional. Simulation results show that the model provides a satisfactory description of data obtained in bicycle ergometer tests.

摘要

基于格罗丁斯的四室模型,我们开发了一个心血管系统对短期次最大工作量反应的模型。该模型包含的基本机制有心脏的斯塔林定律、鲍迪奇效应和外周区域的自动调节。一个基本假设是,反馈控制的作用由压力感受器环路表示,并使二次成本函数最小化。仿真结果表明,该模型对自行车测力计测试中获得的数据提供了令人满意的描述。

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本文引用的文献

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Integrative cardiovascular physiology: a mathematical synthesis of cardiac and blood vessel hemodynamics.整合心血管生理学:心脏与血管血流动力学的数学综合
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Optimal control aspects of left ventricular ejection dynamics.左心室射血动力学的最优控制方面
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