| Issue |
Math. Model. Nat. Phenom.
Volume 6, Number 5, 2011
Complex Fluids
|
|
|---|---|---|
| Page(s) | 333 - 349 | |
| DOI | https://doi.org/10.1051/mmnp/20116513 | |
| Published online | 10 August 2011 | |
Blood Flow Simulation in Atherosclerotic Vascular Network Using Fiber-Spring Representation of Diseased Wall
1
Institute of Numerical Mathematics RAS,
119333, Moscow, 8
Gubkina St., Russia
2
Moscow Institute of Physics and Technology,
141700, Dolgoprudny, 9 Instituskii Lane, Russia
3
Scientific Educational Center of Institute of Numerical
Mathematics RAS
119333, Moscow, 8
Gubkina St., Russia
4
Moscow State University, 119991, Moscow, Leninskie
Gory, Russia
⋆ Corresponding author. E-mail: vasilevs@dodo.inm.ras.ru
We present the fiber-spring elastic model of the arterial wall with atherosclerotic plaque composed of a lipid pool and a fibrous cap. This model allows us to reproduce pressure to cross-sectional area relationship along the diseased vessel which is used in the network model of global blood circulation. Atherosclerosis attacks a region of systemic arterial network. Our approach allows us to examine the impact of the diseased region onto global haemodynamics.
Mathematics Subject Classification: 35Q92 / 76Z05 / 65M06 / 65M25
Key words: atherosclerosis / mathematical modeling / blood flow / arterial wall
© EDP Sciences, 2011
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