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Blood flow simulation in atherosclerotic vascular network using fiber-spring representation of diseased wall. (English) Zbl 1229.35308

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.

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
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