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一种用于描述血液流经动脉分支的数学模型。

A mathematical model for blood flow through an arterial bifurcation.

作者信息

Tandon P N, Kawahara M, Rana U V

机构信息

Department of Mathematics, Universiti Brunei Darussalam, Gadong.

出版信息

Int J Biomed Comput. 1994 May;35(4):309-25.

PMID:8063457
Abstract

By introducing the finite element technique, a study of blood flow through an arterial bifurcation is presented in this paper. The blood is represented by a modified model of thixotropic power-law fluids, for which the parametric values for blood, both in normal and pathological states, have already been established. The results for the velocity profiles, pressure and wall shear stress distributions are elucidated and discussed for normal old and diseased states. The separation and reattachment points are also located for different values of the Reynolds number and the flow behaviour index (n) of the model representing the blood. The analysis identifies low shear stress zones behind the stenosis along the outer wall and high shear stresses downstream of the apex. The increasing percentage of the stenosis and the increasing values of the Reynolds number facilitate the high shear stress zones, whereas the thixotropy of the blood depicts an inbuilt mechanism of reducing high shear stresses as well as flow reversal regions.

摘要

通过引入有限元技术,本文对血液在动脉分叉处的流动进行了研究。血液由一种改良的触变幂律流体模型表示,该模型在正常和病理状态下的血液参数值已经确定。文中阐述并讨论了正常老年和患病状态下的速度剖面、压力和壁面剪应力分布的结果。还针对代表血液的模型的不同雷诺数和流动行为指数(n)值确定了分离点和再附着点。分析确定了沿外壁狭窄后方的低剪应力区以及顶点下游的高剪应力区。狭窄百分比的增加和雷诺数的增大促进了高剪应力区的形成,而血液的触变性描绘了一种减少高剪应力以及流动逆转区域的内在机制。

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