Standard

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 journal › Article › peer-review

Harvard

Berntsson, F, Ghosh, A, Kozlov, VA & Nazarov, SA 2018, 'A one dimensional model of blood flow through a curvilinear artery', Applied Mathematical Modelling, vol. 63, pp. 633-643. https://doi.org/10.1016/j.apm.2018.07.019

APA

Berntsson, F., Ghosh, A., Kozlov, V. A., & Nazarov, S. A. (2018). A one dimensional model of blood flow through a curvilinear artery. Applied Mathematical Modelling, 63, 633-643. https://doi.org/10.1016/j.apm.2018.07.019

Vancouver

Berntsson F, Ghosh A, Kozlov VA, Nazarov SA. A one dimensional model of blood flow through a curvilinear artery. Applied Mathematical Modelling. 2018 Nov 1;63:633-643. https://doi.org/10.1016/j.apm.2018.07.019

Author

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.

BibTeX

@article{0d58f936b148441692dec04e05b28b88,
title = "A one dimensional model of blood flow through a curvilinear artery",
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.",
keywords = "Asymptotic analysis, Blood flow, Curvilinear vessel, Dimension reduction, Numerical simulation",
author = "F. Berntsson and A. Ghosh and Kozlov, {V. A.} and Nazarov, {S. A.}",
year = "2018",
month = nov,
day = "1",
doi = "10.1016/j.apm.2018.07.019",
language = "English",
volume = "63",
pages = "633--643",
journal = "Applied Mathematical Modelling",
issn = "0307-904X",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - A one dimensional model of blood flow through a curvilinear artery

AU - Berntsson, F.

AU - Ghosh, A.

AU - Kozlov, V. A.

AU - Nazarov, S. A.

PY - 2018/11/1

Y1 - 2018/11/1

N2 - 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.

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.

KW - Asymptotic analysis

KW - Blood flow

KW - Curvilinear vessel

KW - Dimension reduction

KW - Numerical simulation

UR - http://www.scopus.com/inward/record.url?scp=85050559238&partnerID=8YFLogxK

U2 - 10.1016/j.apm.2018.07.019

DO - 10.1016/j.apm.2018.07.019

M3 - Article

AN - SCOPUS:85050559238

VL - 63

SP - 633

EP - 643

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

SN - 0307-904X

ER -

ID: 40973785