liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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) Published
Resource type
Text
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

Open Access in DiVA

fulltext(1929 kB)53 downloads
File information
File name FULLTEXT01.pdfFile size 1929 kBChecksum SHA-512
08a57799211a3ce9e56c024a1cef29f33590c417375b96df72594b5a7821f5a65bfed692d91f35bddd9259a68e97eeb38dcb1a8dfc8d780793b038ddb368c224
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Berntsson, FredrikKarlsson, MattsKozlov, Vladimir
By organisation
Mathematics and Applied MathematicsFaculty of Science & EngineeringApplied Thermodynamics and Fluid MechanicsCenter for Medical Image Science and Visualization (CMIV)
In the same journal
Applied Mathematics and Computation
MathematicsMechanical Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 53 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 618 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf