Runge-Kutta method for wall shear stress of blood flow in stenosed artery

Izyan Syazana Awaludin, Rokiah @ Rozita Ahmad

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

A mathematical model of blood flow through stenotic artery is considered. A stenosis is defined as the partial occlusion of the blood vessels due to the accumulation of cholesterols, fats and the abnormal growth of tissue on the artery walls. The development of stenosis in the artery is one of the factors that cause problem in blood circulation system. This study was conducted to determine the wall shear stress of blood flow in stenosed artery. Modified mathematical model is used to analyze the relationship of the wall shear stress versus the length and height of stenosis. The existing models that have been created by previous researchers are solved using fourth order Runge-Kutta method. Numerical results show that the wall shear stress is proportionate to the length and height of stenosis.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages240-245
Number of pages6
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CityKuala Lumpur
Period17/12/1319/12/13

Fingerprint

Runge-Kutta method
blood flow
arteries
shear stress
mathematical models
blood circulation
occlusion
blood vessels
cholesterol
fats
causes

Keywords

  • Fourth order runge-kutta method
  • Stenosis height
  • Stenosis length

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Awaludin, I. S., & Ahmad, R. . R. (2014). Runge-Kutta method for wall shear stress of blood flow in stenosed artery. In AIP Conference Proceedings (Vol. 1602, pp. 240-245). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882494

Runge-Kutta method for wall shear stress of blood flow in stenosed artery. / Awaludin, Izyan Syazana; Ahmad, Rokiah @ Rozita.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 240-245.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Awaludin, IS & Ahmad, RR 2014, Runge-Kutta method for wall shear stress of blood flow in stenosed artery. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 240-245, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882494
Awaludin IS, Ahmad RR. Runge-Kutta method for wall shear stress of blood flow in stenosed artery. In AIP Conference Proceedings. Vol. 1602. American Institute of Physics Inc. 2014. p. 240-245 https://doi.org/10.1063/1.4882494
Awaludin, Izyan Syazana ; Ahmad, Rokiah @ Rozita. / Runge-Kutta method for wall shear stress of blood flow in stenosed artery. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 240-245
@inproceedings{4afa0a1b048345d59eb8c4c48c888b59,
title = "Runge-Kutta method for wall shear stress of blood flow in stenosed artery",
abstract = "A mathematical model of blood flow through stenotic artery is considered. A stenosis is defined as the partial occlusion of the blood vessels due to the accumulation of cholesterols, fats and the abnormal growth of tissue on the artery walls. The development of stenosis in the artery is one of the factors that cause problem in blood circulation system. This study was conducted to determine the wall shear stress of blood flow in stenosed artery. Modified mathematical model is used to analyze the relationship of the wall shear stress versus the length and height of stenosis. The existing models that have been created by previous researchers are solved using fourth order Runge-Kutta method. Numerical results show that the wall shear stress is proportionate to the length and height of stenosis.",
keywords = "Fourth order runge-kutta method, Stenosis height, Stenosis length",
author = "Awaludin, {Izyan Syazana} and Ahmad, {Rokiah @ Rozita}",
year = "2014",
doi = "10.1063/1.4882494",
language = "English",
isbn = "9780735412361",
volume = "1602",
pages = "240--245",
booktitle = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",

}

TY - GEN

T1 - Runge-Kutta method for wall shear stress of blood flow in stenosed artery

AU - Awaludin, Izyan Syazana

AU - Ahmad, Rokiah @ Rozita

PY - 2014

Y1 - 2014

N2 - A mathematical model of blood flow through stenotic artery is considered. A stenosis is defined as the partial occlusion of the blood vessels due to the accumulation of cholesterols, fats and the abnormal growth of tissue on the artery walls. The development of stenosis in the artery is one of the factors that cause problem in blood circulation system. This study was conducted to determine the wall shear stress of blood flow in stenosed artery. Modified mathematical model is used to analyze the relationship of the wall shear stress versus the length and height of stenosis. The existing models that have been created by previous researchers are solved using fourth order Runge-Kutta method. Numerical results show that the wall shear stress is proportionate to the length and height of stenosis.

AB - A mathematical model of blood flow through stenotic artery is considered. A stenosis is defined as the partial occlusion of the blood vessels due to the accumulation of cholesterols, fats and the abnormal growth of tissue on the artery walls. The development of stenosis in the artery is one of the factors that cause problem in blood circulation system. This study was conducted to determine the wall shear stress of blood flow in stenosed artery. Modified mathematical model is used to analyze the relationship of the wall shear stress versus the length and height of stenosis. The existing models that have been created by previous researchers are solved using fourth order Runge-Kutta method. Numerical results show that the wall shear stress is proportionate to the length and height of stenosis.

KW - Fourth order runge-kutta method

KW - Stenosis height

KW - Stenosis length

UR - http://www.scopus.com/inward/record.url?scp=84904107553&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904107553&partnerID=8YFLogxK

U2 - 10.1063/1.4882494

DO - 10.1063/1.4882494

M3 - Conference contribution

AN - SCOPUS:84904107553

SN - 9780735412361

VL - 1602

SP - 240

EP - 245

BT - AIP Conference Proceedings

PB - American Institute of Physics Inc.

ER -