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Mathematical Biosciences and Engineering (MBE)
 

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

Pages: 199 - 214, Volume 9, Issue 1, January 2012      doi:10.3934/mbe.2012.9.199

 
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Benchawan Wiwatanapataphee - Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand (email)
Yong Hong Wu - Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia (email)
Thanongchai Siriapisith - Department of Radiology, Faculty of Medicine Siriraj Hospital, Mahidol University, Bangkoknoi, Bangkok, 10700, Thailand (email)
Buraskorn Nuntadilok - Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand (email)

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.

Keywords:  Mathematical modelling, blood flow, human coronary artery.
Mathematics Subject Classification:  Primary: 92C10; Secondary: 92C50.

Received: October 2010;      Accepted: July 2011;      Available Online: December 2011.

 References