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存在狭窄情况下人体心血管系统的数学建模

Mathematical modelling of the human cardiovascular system in the presence of stenosis.

作者信息

Sud V K, Srinivasan R S, Charles J B, Bungo M W

机构信息

Biophysics Department, All India Institute of Medical Sciences, New Delhi.

出版信息

Phys Med Biol. 1993 Mar;38(3):369-78. doi: 10.1088/0031-9155/38/3/004.

DOI:10.1088/0031-9155/38/3/004
PMID:8451280
Abstract

This paper reports a theoretical study on the distribution of blood flow in the human cardiovascular system when one or more blood vessels are affected by stenosis. The analysis employs a mathematical model of the entire system based on the finite element method. The arterial-venous network is represented by a large number of interconnected segments in the model. Values for the model parameters are based upon the published data on the physiological and rheological properties of blood. Computational results show how blood flow through various parts of the cardiovascular system is affected by stenosis in different blood vessels. No significant changes in the flow parameters of the cardiovascular system were found to occur when the reduction in the lumen diameter of the stenosed vessels was less than 65%.

摘要

本文报道了一项关于当一根或多根血管受到狭窄影响时人体心血管系统中血流分布的理论研究。该分析采用了基于有限元法的整个系统的数学模型。在模型中,动静脉网络由大量相互连接的节段表示。模型参数值基于已发表的关于血液生理和流变特性的数据。计算结果显示了心血管系统不同部位的血流如何受到不同血管狭窄的影响。当狭窄血管的管腔直径减小小于65%时,未发现心血管系统的血流参数发生显著变化。

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