A one dimensional model of blood flow through a curvilinear artery

F. Berntsson, A. Ghosh, V. A. Kozlov, S. A. Nazarov

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We present a one-dimensional model describing the blood flow through a moderately curved and elastic blood vessel. We use an existing two dimensional model of the vessel wall along with Navier−Stokes equations to model the flow through the channel while taking factors, namely, surrounding muscle tissue and presence of external forces other than gravity into account. Our model is obtained via a dimension reduction procedure based on the assumption of thinness of the vessel relative to its length. Results of numerical simulations are presented to highlight the influence of different factors on the blood flow.

Original languageEnglish
Pages (from-to)633-643
Number of pages11
JournalApplied Mathematical Modelling
Volume63
DOIs
StatePublished - 1 Nov 2018

Keywords

  • Asymptotic analysis
  • Blood flow
  • Curvilinear vessel
  • Dimension reduction
  • Numerical simulation

Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Cite this

Berntsson, F. ; Ghosh, A. ; Kozlov, V. A. ; Nazarov, S. A. / A one dimensional model of blood flow through a curvilinear artery. In: Applied Mathematical Modelling. 2018 ; Vol. 63. pp. 633-643.
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A one dimensional model of blood flow through a curvilinear artery. / Berntsson, F.; Ghosh, A.; Kozlov, V. A.; Nazarov, S. A.

In: Applied Mathematical Modelling, Vol. 63, 01.11.2018, p. 633-643.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Ghosh, A.

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AU - Nazarov, S. A.

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AB - We present a one-dimensional model describing the blood flow through a moderately curved and elastic blood vessel. We use an existing two dimensional model of the vessel wall along with Navier−Stokes equations to model the flow through the channel while taking factors, namely, surrounding muscle tissue and presence of external forces other than gravity into account. Our model is obtained via a dimension reduction procedure based on the assumption of thinness of the vessel relative to its length. Results of numerical simulations are presented to highlight the influence of different factors on the blood flow.

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