Effect of stenosis on solitary waves in arteries

Ilkay Bakirtaş; Nalan Antar

doi:10.1016/j.ijengsci.2004.12.014

Effect of stenosis on solitary waves in arteries

Ilkay Bakirtaş^*
, Nalan Antar

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In the present work, a mathematical model of nonlinear blood flow through a stenosed artery is developed. Treating the artery as a stenosed, elastic, thin walled long tube and using the reductive perturbation method, the propagation of weakly nonlinear waves in such a fluid-filled elastic tube is studied. By considering the blood as an incompressible inviscid fluid, the evolution equation is obtained as the extended Stochastic Korteweg-de Vries equation. Progressive wave solution to this evolution equation is obtained and effect of stenosis on the wave profile and the wave speed is discussed.

Original language	English
Pages (from-to)	730-743
Number of pages	14
Journal	International Journal of Engineering Science
Volume	43
Issue number	8-9
DOIs	https://doi.org/10.1016/j.ijengsci.2004.12.014
Publication status	Published - May 2005

Keywords

Evolution equations
Stenosis
Stochastic KdV equation
Wave propagation

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10.1016/j.ijengsci.2004.12.014

Cite this

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title = "Effect of stenosis on solitary waves in arteries",

abstract = "In the present work, a mathematical model of nonlinear blood flow through a stenosed artery is developed. Treating the artery as a stenosed, elastic, thin walled long tube and using the reductive perturbation method, the propagation of weakly nonlinear waves in such a fluid-filled elastic tube is studied. By considering the blood as an incompressible inviscid fluid, the evolution equation is obtained as the extended Stochastic Korteweg-de Vries equation. Progressive wave solution to this evolution equation is obtained and effect of stenosis on the wave profile and the wave speed is discussed.",

keywords = "Evolution equations, Stenosis, Stochastic KdV equation, Wave propagation",

author = "Ilkay Bakirta{\c s} and Nalan Antar",

year = "2005",

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language = "English",

volume = "43",

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T1 - Effect of stenosis on solitary waves in arteries

AU - Bakirtaş, Ilkay

AU - Antar, Nalan

PY - 2005/5

Y1 - 2005/5

N2 - In the present work, a mathematical model of nonlinear blood flow through a stenosed artery is developed. Treating the artery as a stenosed, elastic, thin walled long tube and using the reductive perturbation method, the propagation of weakly nonlinear waves in such a fluid-filled elastic tube is studied. By considering the blood as an incompressible inviscid fluid, the evolution equation is obtained as the extended Stochastic Korteweg-de Vries equation. Progressive wave solution to this evolution equation is obtained and effect of stenosis on the wave profile and the wave speed is discussed.

AB - In the present work, a mathematical model of nonlinear blood flow through a stenosed artery is developed. Treating the artery as a stenosed, elastic, thin walled long tube and using the reductive perturbation method, the propagation of weakly nonlinear waves in such a fluid-filled elastic tube is studied. By considering the blood as an incompressible inviscid fluid, the evolution equation is obtained as the extended Stochastic Korteweg-de Vries equation. Progressive wave solution to this evolution equation is obtained and effect of stenosis on the wave profile and the wave speed is discussed.

KW - Evolution equations

KW - Stenosis

KW - Stochastic KdV equation

KW - Wave propagation

UR - https://www.scopus.com/pages/publications/22344440316

U2 - 10.1016/j.ijengsci.2004.12.014

DO - 10.1016/j.ijengsci.2004.12.014

M3 - Article

AN - SCOPUS:22344440316

SN - 0020-7225

VL - 43

SP - 730

EP - 743

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

IS - 8-9

ER -

Effect of stenosis on solitary waves in arteries

Abstract

Keywords

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