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A novel mathematical model of blood flow

The interface between mathematics and biology has initiated and fostered new mathematical areas, where the ideas from mathematics and biology are synergistically applied. Study of fluid dynamics plays a significant role in fluid flow inside the human body, and modeling of blood flow is an important...

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Main Author: Khalid, Ahmad Khudzairi
Format: Thesis
Language:English
Published: 2014
Subjects:
Q Science (General)
Online Access:http://eprints.utm.my/id/eprint/53769/25/AhmadKhudzairiKhalidMFS2014.pdf
http://eprints.utm.my/id/eprint/53769/
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spelling my.utm.537692020-09-02T05:50:47Z http://eprints.utm.my/id/eprint/53769/ A novel mathematical model of blood flow Khalid, Ahmad Khudzairi Q Science (General) The interface between mathematics and biology has initiated and fostered new mathematical areas, where the ideas from mathematics and biology are synergistically applied. Study of fluid dynamics plays a significant role in fluid flow inside the human body, and modeling of blood flow is an important field in cardiovascular physics. However, models have been developed so far are very complex with three dimensional analysis. This project presents a novel and simple mathematical model of blood flow. The main fluid component of the cardiovascular system is the body. Assuming blood is a Newtonian fluid which is governed by the Navier-Stokes equations and continuity equation and with making use of the Navier-Stokes equation, a simple differential equation called as the Cardiovascular System equation is derived. Then by applying the logical assumptions on this model, the general mathematical model of the normal blood flow rate is developed. Using Poisuelli’s equation, the Cardiovascular System equation is also used to develope a model for blood pressure. These two models are then analyzed against surface, pressure gradient and the vessel’s length using MAPLE 13. Our results are in agreement those obtained by Sanjeev, Chandel and Harjeet (2011) in A Mathematical Model for Blood Flow and Cross Sectional Area of an Artery. 2014-06 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/53769/25/AhmadKhudzairiKhalidMFS2014.pdf Khalid, Ahmad Khudzairi (2014) A novel mathematical model of blood flow. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85406
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic Q Science (General)
spellingShingle Q Science (General)
Khalid, Ahmad Khudzairi
A novel mathematical model of blood flow
description The interface between mathematics and biology has initiated and fostered new mathematical areas, where the ideas from mathematics and biology are synergistically applied. Study of fluid dynamics plays a significant role in fluid flow inside the human body, and modeling of blood flow is an important field in cardiovascular physics. However, models have been developed so far are very complex with three dimensional analysis. This project presents a novel and simple mathematical model of blood flow. The main fluid component of the cardiovascular system is the body. Assuming blood is a Newtonian fluid which is governed by the Navier-Stokes equations and continuity equation and with making use of the Navier-Stokes equation, a simple differential equation called as the Cardiovascular System equation is derived. Then by applying the logical assumptions on this model, the general mathematical model of the normal blood flow rate is developed. Using Poisuelli’s equation, the Cardiovascular System equation is also used to develope a model for blood pressure. These two models are then analyzed against surface, pressure gradient and the vessel’s length using MAPLE 13. Our results are in agreement those obtained by Sanjeev, Chandel and Harjeet (2011) in A Mathematical Model for Blood Flow and Cross Sectional Area of an Artery.
format Thesis
author Khalid, Ahmad Khudzairi
author_facet Khalid, Ahmad Khudzairi
author_sort Khalid, Ahmad Khudzairi
title A novel mathematical model of blood flow
title_short A novel mathematical model of blood flow
title_full A novel mathematical model of blood flow
title_fullStr A novel mathematical model of blood flow
title_full_unstemmed A novel mathematical model of blood flow
title_sort novel mathematical model of blood flow
publishDate 2014
url http://eprints.utm.my/id/eprint/53769/25/AhmadKhudzairiKhalidMFS2014.pdf
http://eprints.utm.my/id/eprint/53769/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85406
_version_ 1677781094172196864
score 13.211869

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