Mathematical modelling of paired arterial stenoses

Author

Johnston, Peter R. ; Kilpatrick, David

Author_Institution

Dept. of Med., Tasmania Univ., Hobart, Tas., Australia

fYear

1990

fDate

23-26 Sep 1990

Firstpage

229

Lastpage

232

Abstract

To determine the effect of paired stenoses and the influence of the separation between stenoses, a mathematical model of blood flow in the coronary arteries has been developed. The model, which assumes that the artery and stenoses are axisymmetric and that blood is a Newtonian fluid, is described by the two-dimensional cylindrical Navier-Stokes equation and continuity equation. These equations, being highly nonlinear, are solved using the finite element method and the FIDAP computational fluid dynamics package. This model has been used to study the effects of combinations of varying proximal and distal stenosis severity (from 0 to 96% area occlusion) as well as stenosis separation. It is argued that mathematical modeling of arterial blood flow provides a powerful yet simple tool to study the effects of any of the varied stenosis morphologies which may occur in patients with coronary artery disease

Keywords

Navier-Stokes equations; cardiology; finite element analysis; haemodynamics; physiological models; FIDAP computational fluid dynamics package; Newtonian fluid; blood flow; continuity equation; coronary arteries; finite element method; mathematical model; paired arterial stenoses; patients; two-dimensional cylindrical Navier-Stokes equation; Arteries; Blood flow; Computational fluid dynamics; Coronary arteriosclerosis; Finite element methods; Mathematical model; Morphology; Navier-Stokes equations; Nonlinear equations; Packaging;

fLanguage

English

Publisher

ieee

Conference_Titel

Computers in Cardiology 1990, Proceedings.

Conference_Location

Chicago, IL

Print_ISBN

0-8186-2225-3

Type

conf

DOI

10.1109/CIC.1990.144202

Filename

144202