Math. Model. Nat. Phenom.
Volume 6, Number 7, 2011Mathematical modeling in biomedical applications
|Page(s)||82 - 99|
|Published online||15 June 2011|
Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks
Institute of Numerical Mathematics RAS,
Gubkina st. 8, Moscow
2 Moscow Institute of Physics and Technology, Institutskyi Lane 9, Dolgoprudny 141700, Russia
3 Scientific Educational Center of Institute of Numerical Mathematics RAS, Gubkina st. 8, Moscow 119333, Russia
4 Moscow State University, Leninskie Gory, Moscow 119991, Russia
* Corresponding author. E-mail: email@example.com
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.
Mathematics Subject Classification: 35Q92 / 76Z05 / 65M06 / 65M25
Key words: atherosclerosis / mathematical modelling / blood flow / arterial wall / wall state equation
© EDP Sciences, 2011
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