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Blood Flow Simulation in Atherosclerotic Vascular Network UsingFiber-Spring Representation of Diseased Wall

Published online by Cambridge University Press:  10 August 2011

Yu. Vassilevski ,
S. Simakov ,
V. Salamatova ,
Yu. Ivanov  and
T. Dobroserdova
Yu. Vassilevski*
Affiliation:
Institute of Numerical Mathematics RAS, 119333, Moscow, 8 Gubkina St., Russia
S. Simakov
Affiliation:
Moscow Institute of Physics and Technology, 141700, Dolgoprudny, 9 Instituskii Lane, Russia
V. Salamatova
Affiliation:
Scientific Educational Center of Institute of Numerical Mathematics RAS 119333, Moscow, 8 Gubkina St., Russia
Yu. Ivanov
Affiliation:
Scientific Educational Center of Institute of Numerical Mathematics RAS 119333, Moscow, 8 Gubkina St., Russia
T. Dobroserdova
Affiliation:
Moscow State University, 119991, Moscow, Leninskie Gory, Russia
*
⋆ Corresponding author. E-mail: vasilevs@dodo.inm.ras.ru
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Abstract

We present the fiber-spring elastic model of the arterial wall with atheroscleroticplaque composed of a lipid pool and a fibrous cap. This model allows us to reproducepressure to cross-sectional area relationship along the diseased vessel which is used inthe network model of global blood circulation. Atherosclerosis attacks a region ofsystemic arterial network. Our approach allows us to examine the impact of the diseasedregion onto global haemodynamics.

Keywords

atherosclerosismathematical modelingblood flowarterial wall
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 5: Complex Fluids , 2011 , pp. 333 - 349
Copyright
© EDP Sciences, 2011

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