Dissertation/Thesis Abstract

A hemodynamic modelling of the blood circulation
by Shrestha, Maha Laxmi, M.Sc., Texas A&M University - Corpus Christi, 2016, 40; 10243151
Abstract (Summary)

A mathematical model of the blood flow through an axisymmetric stenosis vessel was developed using the Navier-Stokes equations. A numerical approach has been used to analyze behavior of the blood flow because an analytical solution of such a problem is impossible.

The method of finite elements was applied to find the velocity and the pressure of the blood flow in stenotic vessels of the cardio-vascular system. The solution of the Navier-Stokes equations was done using Matlab and COSMOL Multiphysics.

The findings of the modeling demonstrated that velocity and wall shear stress significantly increase due to the stenosis in the part of the vessel that is blocking blood flow and that this increase depends on the size of the blockage. The modeling shows that increased velocity, vessel wall shear stress, and significant variations in blood pressure may lead to abnormality of the blood flow, which in turn may be a cause of the heart attacks or/and strokes.

The analysis of this research has been compared with the existing results published in research papers. Future investigations of the effect of a more general boundary for a stenosis are planned.

Indexing (document details)
Advisor: Sadovski, Alexey
Commitee: King, Scott, Palaniappan, Devanayagam
School: Texas A&M University - Corpus Christi
Department: Mathematics
School Location: United States -- Texas
Source: MAI 56/02M(E), Masters Abstracts International
Source Type: DISSERTATION
Subjects: Mathematics, Health sciences
Keywords: Mathematics
Publication Number: 10243151
ISBN: 9781369412321
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