| Issue |
Math. Model. Nat. Phenom.
Volume 6, Number 7, 2011
Mathematical modeling in biomedical applications
|
|
|---|---|---|
| Page(s) | 82 - 99 | |
| DOI | https://doi.org/10.1051/mmnp:20116707 | |
| Published online | 15 June 2011 | |
Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks
1
Institute of Numerical Mathematics RAS,
Gubkina st. 8, Moscow
119333,
Russia
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: vasilevs@dodo.inm.ras.ru
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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