A one-dimensional model of viscous blood flow in an elastic vessel

Fredrik Berntsson, Matts Karlsson, Vladimir Kozlov and Sergey A. Nazarov

Applied Mathematics and Computation, 2016, vol. 274, issue C, 125-132

Abstract: In this paper we present a one-dimensional model of blood flow in a vessel segment with an elastic wall consisting of several anisotropic layers. The model involves two variables: the radial displacement of the vessel’s wall and the pressure, and consists of two coupled equations of parabolic and hyperbolic type. Numerical simulations on a straight segment of a blood vessel demonstrate that the model can produce realistic flow fields that may appear under normal conditions in healthy blood vessels; as well as flow that could appear during abnormal conditions. In particular we show that weakening of the elastic properties of the wall may provoke a reverse blood flow in the vessel.

Keywords: Blood flow; Linear model; Asymptotic analysis; Dimension reduction; Numerical simulation (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:274:y:2016:i:c:p:125-132

DOI: 10.1016/j.amc.2015.10.077

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