Effect of branchings on blood flow in the system of human coronary arteries

Benchawan Wiwatanapataphee; Yong Hong Wu; Thanongchai Siriapisith; Buraskorn Nuntadilok

doi:10.3934/mbe.2012.9.199

Article Contents

2012, Volume 9, Issue 1: 199-214. Doi: 10.3934/mbe.2012.9.199 open access

This issue Previous Article A quasi-lumped model for the peripheral distortion of the arterial pulse Next Article

Effect of branchings on blood flow in the system of human coronary arteries

1.
Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400
2.
Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845
3.
Department of Radiology, Faculty of Medicine Siriraj Hospital, Mahidol University, Bangkoknoi, Bangkok, 10700

Received: October 2010

Revised: July 2011

Published: December 2011

Abstract / Introduction Related Papers Cited by

Abstract

In this work, we investigate the behavior of the pulsatile blood flow in the system of human coronary arteries. Blood is modeled as an incompressible non-Newtonian fluid. The transient phenomena of blood flow through the coronary system are simulated by solving the three dimensional unsteady state Navier-Stokes equations and continuity equation. Distributions of velocity, pressure and wall shear stresses are determined in the system under pulsatile conditions on the boundaries. Effect of branching vessel on the flow problem is investigated. The numerical results show that blood pressure in the system with branching vessels of coronary arteries is lower than the one in the system with no branch. The magnitude of wall shear stresses rises at the bifurcation.

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Mathematics Subject Classification: Primary: 92C10; Secondary: 92C50.

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