Vassilevski, Yu.; Simakov, S.; Salamatova, V.; Ivanov, Yu.; Dobroserdova, T. Blood flow simulation in atherosclerotic vascular network using fiber-spring representation of diseased wall. (English) Zbl 1229.35308 Math. Model. Nat. Phenom. 6, No. 5, 333-349 (2011). Summary: 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. Cited in 5 Documents MSC: 35Q92 PDEs in connection with biology, chemistry and other natural sciences 76Z05 Physiological flows 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs Keywords:atherosclerosis; mathematical modeling; blood flow; arterial wall PDFBibTeX XMLCite \textit{Yu. Vassilevski} et al., Math. Model. Nat. Phenom. 6, No. 5, 333--349 (2011; Zbl 1229.35308) Full Text: DOI EuDML