Mathematical modelling of blood flow in a catheterized artery with time variant multiple stenoses

Mathematical modelling of Newtonian blood flow in a catheterized stenosed artery is considered. A catheter which is a long, and hollow thin tube is a clinical device to diagnose and treat certain diseases. However, the insertion of a catheter into the blood vessel will alter and disturb the hemodyna...

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Main Author:	Koo, Meng Lian
Format:	Thesis
Language:	English
Published:	2019
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/102304/1/KooMengLianMFS2019.pdf.pdf
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spelling	my-utm-ep.1023042023-08-17T00:49:08Z Mathematical modelling of blood flow in a catheterized artery with time variant multiple stenoses 2019 Koo, Meng Lian QA Mathematics Mathematical modelling of Newtonian blood flow in a catheterized stenosed artery is considered. A catheter which is a long, and hollow thin tube is a clinical device to diagnose and treat certain diseases. However, the insertion of a catheter into the blood vessel will alter and disturb the hemodynamic characteristics of blood flow. In this research, the effect of physical parameters of the catheter in an eccentric position is investigated in a tapered artery with multiple stenoses taking the cosine shape varying with time. The governing equations which consist of a system of non-linear partial differential equations are analytically solved using the perturbation technique under the assumption of axisymmetric, unsteady, fully developed laminar flow. A Mathematica software package is developed to assist in the solution procedure which is complicated and tedious. The results for axial velocity have been compared and validated in the case of a single stenosis. In a multiple stenosed artery, it is found that with the increase of eccentricity parameter and radius of catheter, the axial velocities across the three stenoses decrease drastically. If the velocity of catheter is increased, the wall shear stress has the highest value in the case of diverging tapered multiple stenosed artery. The increase of catheter radius has significant effect on the impedance at the location of the first and third stenosis. In both single and multiple stenosed artery, the streamline patterns show that the trapping bolus is formed near the wall of stenosis and in between stenosis when the physical parameters of eccentric catheter increases. It is found that the ratio of the catheter’s size to the artery should be less than 0 . 2 and must be placed at an eccentric position of 0 . 1 to avoid artery’s rupture. 2019 Thesis http://eprints.utm.my/id/eprint/102304/ http://eprints.utm.my/id/eprint/102304/1/KooMengLianMFS2019.pdf.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:146180 masters Universiti Teknologi Malaysia Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Koo, Meng Lian Mathematical modelling of blood flow in a catheterized artery with time variant multiple stenoses
description	Mathematical modelling of Newtonian blood flow in a catheterized stenosed artery is considered. A catheter which is a long, and hollow thin tube is a clinical device to diagnose and treat certain diseases. However, the insertion of a catheter into the blood vessel will alter and disturb the hemodynamic characteristics of blood flow. In this research, the effect of physical parameters of the catheter in an eccentric position is investigated in a tapered artery with multiple stenoses taking the cosine shape varying with time. The governing equations which consist of a system of non-linear partial differential equations are analytically solved using the perturbation technique under the assumption of axisymmetric, unsteady, fully developed laminar flow. A Mathematica software package is developed to assist in the solution procedure which is complicated and tedious. The results for axial velocity have been compared and validated in the case of a single stenosis. In a multiple stenosed artery, it is found that with the increase of eccentricity parameter and radius of catheter, the axial velocities across the three stenoses decrease drastically. If the velocity of catheter is increased, the wall shear stress has the highest value in the case of diverging tapered multiple stenosed artery. The increase of catheter radius has significant effect on the impedance at the location of the first and third stenosis. In both single and multiple stenosed artery, the streamline patterns show that the trapping bolus is formed near the wall of stenosis and in between stenosis when the physical parameters of eccentric catheter increases. It is found that the ratio of the catheter’s size to the artery should be less than 0 . 2 and must be placed at an eccentric position of 0 . 1 to avoid artery’s rupture.
format	Thesis
qualification_level	Master's degree
author	Koo, Meng Lian
author_facet	Koo, Meng Lian
author_sort	Koo, Meng Lian
title	Mathematical modelling of blood flow in a catheterized artery with time variant multiple stenoses
title_short	Mathematical modelling of blood flow in a catheterized artery with time variant multiple stenoses
title_full	Mathematical modelling of blood flow in a catheterized artery with time variant multiple stenoses
title_fullStr	Mathematical modelling of blood flow in a catheterized artery with time variant multiple stenoses
title_full_unstemmed	Mathematical modelling of blood flow in a catheterized artery with time variant multiple stenoses
title_sort	mathematical modelling of blood flow in a catheterized artery with time variant multiple stenoses
granting_institution	Universiti Teknologi Malaysia
granting_department	Faculty of Science
publishDate	2019
url	http://eprints.utm.my/id/eprint/102304/1/KooMengLianMFS2019.pdf.pdf
_version_	1776100891471904768

Mathematical modelling of blood flow in a catheterized artery with time variant multiple stenoses

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