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动脉血流的数学建模及其与动脉粥样硬化的相关性。

Mathematical modeling of arterial blood flow and correlation to atherosclerosis.

作者信息

Perktold K, Rappitsch G

机构信息

Institute of Mathematics, Technical University Graz, Austria.

出版信息

Technol Health Care. 1995 Dec;3(3):139-51.

PMID:8749862
Abstract

The importance of arterial flow phenomena with regard to atherosclerosis motivates detailed studies of local cardiovascular flow dynamics. The quantitative analysis of flow characteristics can contribute to the understanding of fluid dynamic induced and favored mechanisms in atherogenesis. Numerical methods are very useful in supporting experimental methods and often enable the determination of flow variables which are difficult to obtain in experiments. Due to the development of improved numerical procedures for the blood specific flow equations and due to the application of modern computer technology, the calculations can be carried out under conditions describing the physiological situation in a realistic manner including essential effects. Here various aspects of arterial flow simulation are presented and discussed. The possibilities and difficulties of numerical simulation of arterial flow using finite element approximations are illustrated with the aid of the human carotid artery bifurcation and a distal end-to-side anastomosis model. Further convective-diffusive mass transport in a curved tube model is considered.

摘要

动脉血流现象对动脉粥样硬化的重要性促使人们对局部心血管流动动力学进行详细研究。血流特性的定量分析有助于理解动脉粥样硬化形成过程中流体动力学诱导和促进的机制。数值方法在支持实验方法方面非常有用,并且常常能够确定在实验中难以获得的流动变量。由于血液特定流动方程的改进数值程序的发展以及现代计算机技术的应用,可以在以现实方式描述生理状况并包括基本效应的条件下进行计算。这里介绍并讨论了动脉血流模拟的各个方面。借助人体颈动脉分叉和远端端侧吻合模型,说明了使用有限元近似法进行动脉血流数值模拟的可能性和困难。还考虑了弯曲管模型中的进一步对流扩散传质。

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Mathematical modeling of arterial blood flow and correlation to atherosclerosis.动脉血流的数学建模及其与动脉粥样硬化的相关性。
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