Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks

Yu. Vassilevski; S. Simakov; V. Salamatova; Yu. Ivanov; T. Dobroserdova

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 7, page 82-99
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Vassilevski, Yu., et al. "Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks." Mathematical Modelling of Natural Phenomena 6.7 (2011): 82-99. <http://eudml.org/doc/222340>.

@article{Vassilevski2011,
abstract = {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.},
author = {Vassilevski, Yu., Simakov, S., Salamatova, V., Ivanov, Yu., Dobroserdova, T.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {atherosclerosis; mathematical modelling; blood flow; arterial wall; wall state equation; mathematical modeling},
language = {eng},
month = {6},
number = {7},
pages = {82-99},
publisher = {EDP Sciences},
title = {Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks},
url = {http://eudml.org/doc/222340},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Vassilevski, Yu.
AU - Simakov, S.
AU - Salamatova, V.
AU - Ivanov, Yu.
AU - Dobroserdova, T.
TI - Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/6//
PB - EDP Sciences
VL - 6
IS - 7
SP - 82
EP - 99
AB - 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.
LA - eng
KW - atherosclerosis; mathematical modelling; blood flow; arterial wall; wall state equation; mathematical modeling
UR - http://eudml.org/doc/222340
ER -

References

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