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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 12, Pages 2109–2124
DOI: https://doi.org/10.31857/S0044466921120139 (Mi zvmmf11335) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Mathematical physics

New boundary conditions for one-dimensional network models of hemodynamics

S. S. Simakovabc

a Sechenov University, 119991, Moscow, Russia
b Moscow Institute of Physics and Technology, 141700, Dolgoprudnyi, Moscow oblast, Russia
c Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333, Moscow, Russia
Citations (7)
DOI: https://doi.org/10.31857/S0044466921120139
Abstract: New boundary conditions in the regions of vessel junctions for a one-dimensional network model of hemodynamics are proposed. It is shown that these conditions ensure the continuity of the solution and its derivatives at the points of vessel junctions. In the asymptotic limit, they give solutions that coincide with the solution in one continuous vessel. Nonreflecting boundary conditions at the endpoints of the terminal vessels are proposed. Results of numerical experiments that confirm the results of theoretical analysis are presented.
Key words: mathematical modeling, hemodynamics, boundary conditions, averaging.
Funding agency Grant number
Russian Science Foundation 21-41-00029
This work was supported by the Russian Science Foundation, project no. 21-41-00029.
Received: 23.03.2021
Revised: 21.06.2021
Accepted: 04.08.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 12, Pages 2102–2117
DOI: https://doi.org/10.1134/S0965542521120125
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. S. Simakov, “New boundary conditions for one-dimensional network models of hemodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 61:12 (2021), 2109–2124; Comput. Math. Math. Phys., 61:12 (2021), 2102–2117
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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