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A one-dimensional model of viscous blood flow in an elastic vessel
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-2681-8965
Linköping University, Department of Management and Engineering, Applied Thermodynamics and Fluid Mechanics. Linköping University, Faculty of Science & Engineering. Linköping University, Center for Medical Image Science and Visualization (CMIV).ORCID iD: 0000-0001-5526-2399
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
St Petersburg State University, Russia; St Petersburg State Polytech University, Russia; RAS, Russia.
2016 (English)In: Applied Mathematics and Computation, ISSN 0096-3003, E-ISSN 1873-5649, Vol. 274, 125-132 p.Article in journal (Refereed) PublishedText
Abstract [en]

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 vessels 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. (C) 2015 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE INC , 2016. Vol. 274, 125-132 p.
Keyword [en]
Blood flow; Linear model; Asymptotic analysis; Dimension reduction; Numerical simulation
National Category
Mathematics Mechanical Engineering
Identifiers
URN: urn:nbn:se:liu:diva-124453DOI: 10.1016/j.amc.2015.10.077ISI: 000367521900013OAI: oai:DiVA.org:liu-124453DiVA: diva2:899859
Available from: 2016-02-02 Created: 2016-02-01 Last updated: 2016-03-14

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Available from 2016-12-05 00:00

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Berntsson, FredrikKarlsson, MattsKozlov, Vladimir
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Mathematics and Applied MathematicsFaculty of Science & EngineeringApplied Thermodynamics and Fluid MechanicsCenter for Medical Image Science and Visualization (CMIV)
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Applied Mathematics and Computation
MathematicsMechanical Engineering

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