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Matematicheskoe modelirovanie, 2009, Volume 21, Number 12, Pages 21–34 (Mi mm2910)  
This article is cited in 9 scientific papers (total in 9 papers)

Computational modeling of hemodynamic impulses propagation

A. P. Favorskiyab, M. A. Tygliyanab, N. N. Tyurinaab, N. N. Galaninaab, V. A. Isakovab

a Lomonosov Moscow State University
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Full-text PDF (305 kB) Citations (9)
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Abstract: The computational modeling of the pressure and velocity impulses propagation in a blood vessel is presented in linear approximation. Numerical solution of the linear set of hemodynamic equations is formed as superposition of progressing waves (Riemann's invariants) satisfying transport equations. In this connection, design of composite difference scheme for transport equation is emphasized in this article. The examples of calculation are presented for transport equation and linear hemodynamic equations set. The proposed algorithm can be generalized to quasi-linear system case.
Received: 24.11.2008
English version:
Mathematical Models and Computer Simulations, 2010, Volume 2, Issue 4, Pages 470–481
DOI: https://doi.org/10.1134/S207004821004006X
Bibliographic databases:
UDC: 519.63
Language: Russian
Citation: A. P. Favorskiy, M. A. Tygliyan, N. N. Tyurina, N. N. Galanina, V. A. Isakov, “Computational modeling of hemodynamic impulses propagation”, Matem. Mod., 21:12 (2009), 21–34; Math. Models Comput. Simul., 2:4 (2010), 470–481
Citation in format AMSBIB
\Bibitem{FavTygTyu09}
\by A.~P.~Favorskiy, M.~A.~Tygliyan, N.~N.~Tyurina, N.~N.~Galanina, V.~A.~Isakov
\paper Computational modeling of hemodynamic impulses propagation
\jour Matem. Mod.
\yr 2009
\vol 21
\issue 12
\pages 21--34
\mathnet{http://mi.mathnet.ru/mm2910}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2650497}
\transl
\jour Math. Models Comput. Simul.
\yr 2010
\vol 2
\issue 4
\pages 470--481
\crossref{https://doi.org/10.1134/S207004821004006X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929079815}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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