Geodesic
Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks
Yu. Vassilevski1 ; S. Simakov2 ; V. Salamatova3 ; Yu. Ivanov3 ; T. Dobroserdova4
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
Mathematical modelling of natural phenomena, Tome 6 (2011) no. 7 Supplement, pp. 82-99.

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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.
DOI : 10.1051/mmnp:20116707

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

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 
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Yu. Vassilevski; S. Simakov; V. Salamatova; Yu. Ivanov; T. Dobroserdova. Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks. Mathematical modelling of natural phenomena, Tome 6 (2011) no. 7 Supplement, pp. 82-99. doi : 10.1051/mmnp:20116707. http://geodesic.mathdoc.fr/articles/10.1051/mmnp:20116707/

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