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Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks

Published online by Cambridge University Press:  15 June 2011

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

There are two mathematical models of elastic walls of healthy and atherosclerotic blood vessels developed and studied. The models are included in a numerical model of global blood circulation via recovery of the vessel wall state equation. The joint model allows us to study the impact of arteries atherosclerotic disease of a set of arteries on regional haemodynamics.

Keywords

atherosclerosismathematical modellingblood flowarterial wallwall state equation
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 7: Mathematical modeling in biomedical applications , 2011 , pp. 82 - 99
Copyright
© EDP Sciences, 2011

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