A Finite-Element Model of Blood Flow in Arteries Including Taper, Branches, and Obstructions

[+] Author and Article Information
G. Porenta

Department of Medical Cybernetics, University of Vienna, Medical School, Wien, Austria

D. F. Young, T. R. Rogge

Engineering Science and Mechanics Department, and Biomedical Engineering Program, Iowa State University, Ames, Iowa 50011

J Biomech Eng 108(2), 161-167 (May 01, 1986) (7 pages) doi:10.1115/1.3138596 History: Received March 14, 1984; Revised December 23, 1985; Online June 12, 2009


A nonlinear mathematical model of arterial blood flow, which can account for tapering, branching, and the presence of stenosed segments, is presented. With the finite-element method, the model equations are transformed into a system of algebraic equations that can be solved on a high-speed digital computer to yield values of pressure and volume rate of flow as functions of time and arterial position. A model of the human femoral artery is used to compare the effects of linear and nonlinear modeling. During periods of rapid alterations in pressure or flow, the nonlinear model shows significantly different results than the linear model. The effect of a stenosis on pressure and flow waveforms is also simulated, and the results indicate that these waveforms are significantly altered by moderate and severe stenoses.

Copyright © 1986 by ASME
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