Geodesic
Blood Flow Simulation in Atherosclerotic Vascular Network Using Fiber-Spring Representation of Diseased Wall
Yu. Vassilevski1 ; S. Simakov2 ; V. Salamatova3 ; Yu. Ivanov3 ; T. Dobroserdova4
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
Mathematical modelling of natural phenomena, Tome 6 (2011) no. 5, pp. 333-349.

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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.
DOI : 10.1051/mmnp/20116513

Yu. Vassilevski 1 ; S. Simakov 2 ; V. Salamatova 3 ; Yu. Ivanov 3 ; T. Dobroserdova 4

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 
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Yu. Vassilevski; S. Simakov; V. Salamatova; Yu. Ivanov; T. Dobroserdova. Blood Flow Simulation in Atherosclerotic Vascular Network Using Fiber-Spring Representation of Diseased Wall. Mathematical modelling of natural phenomena, Tome 6 (2011) no. 5, pp. 333-349. doi : 10.1051/mmnp/20116513. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20116513/

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