Email this article Transmission Conditions in a One-Dimensional Model of Bifurcating Arteries with Elastic Walls
- Authors: Kozlov V.A.1, Nazarov S.A.2
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Affiliations:
- Linkӧpings Universitet
- St.Petersburg State University, St.Petersburg State Polytechnic University, Institute of Engineering Problems, RAS
- Issue: Vol 224, No 1 (2017)
- Pages: 94-118
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/239499
- DOI: https://doi.org/10.1007/s10958-017-3398-0
- ID: 239499
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Abstract
Transmission conditions at a bifurcation point in a one-dimensional model of blood vessels are derived by using a three-dimensional model. Both classical Kirchhoff conditions ensuring the continuity of pressure and the vanishing of the flux should be modified in order to reflect properly the elastic properties of blood vessels. A simple approximate method of calculation of new physical parameters in the transmission conditions is proposed. Simplified models of straight sections of arteries with localized defects such as micro-aneurysms and cholesterol plaques are developed; these models also require the statement of some transmission conditions. Bibliography: 34 titles.
About the authors
V. A. Kozlov
Linkӧpings Universitet
Author for correspondence.
Email: vlkoz@mai.liu.se
Sweden, Linkӧping
S. A. Nazarov
St.Petersburg State University, St.Petersburg State Polytechnic University, Institute of Engineering Problems, RAS
Email: vlkoz@mai.liu.se
Russian Federation, St.Petersburg
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