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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 9, Pages 1599–1610
DOI: https://doi.org/10.7868/S004446691509015X (Mi zvmmf10272) 		 
This article is cited in 43 scientific papers (total in 43 papers)

On the elasticity of blood vessels in one-dimensional problems of hemodynamics

Yu. V. Vassilevskiab, V. U. Salamatovaab, S. S. Simakovabc

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
b Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119333, Russia
c Institute of Computer-Aided Design, Russian Academy of Sciences, Vtoraya Brestskaya ul. 19/18, Moscow, 123056, Russia
Full-text PDF (854 kB) Citations (43)
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DOI: https://doi.org/10.7868/S004446691509015X
Abstract: One-dimensional models of hemodynamics proved to be effective in the analysis of blood flow in humans in the normal and pathological states. A key factor contributing to the successful simulation using one-dimensional models is the inclusion of elastic properties of blood vessel walls. This paper is devoted to the comparative analysis of various mathematical descriptions of elastic properties of vessel walls in modern one-dimensional models of hemodynamics.
Key words: mathematical modeling, hemodynamics, blood vessel, constitutive equations.
Received: 26.02.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 9, Pages 1567–1578
DOI: https://doi.org/10.1134/S0965542515090134
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: Yu. V. Vassilevski, V. U. Salamatova, S. S. Simakov, “On the elasticity of blood vessels in one-dimensional problems of hemodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015), 1599–1610; Comput. Math. Math. Phys., 55:9 (2015), 1567–1578
Citation in format AMSBIB
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    • This publication is cited in the following 43 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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