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Matem. Mod., 2009, Volume 21, Number 12, Pages 21–34 (Mi mm2910)  

This article is cited in 4 scientific papers (total in 4 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

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.

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English version:
Mathematical Models and Computer Simulations, 2010, 2:4, 470–481

Bibliographic databases:

UDC: 519.63
Received: 24.11.2008

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://www.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{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929079815}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. F. A. Galimyanov, F. M. Gafarov, N. R. Khusnutdinov, “Model rosta neironnoi seti”, Matem. modelirovanie, 23:3 (2011), 101–108  mathnet  mathscinet
    2. Abakumov M.V., Galanina A.M., Isakov V.A., Tyurina N.N., Favorskii A.P., Khrulenko A.B., “Quasi-acoustic scheme for the Euler equations of gas dynamics”, Differ. Equ., 47:8 (2011), 1103–1109  crossref  mathscinet  zmath  isi  elib  elib  scopus
    3. V. A. Isakov, A. P. Favorskiy, “Quasi-acoustic scheme for the Euler equations of gas dynamics in two dimensional case”, Math. Models Comput. Simul., 5:4 (2013), 356–359  mathnet  crossref  mathscinet
    4. N. A. Kudryashov, K. E. Shilnikov, “Numerical modeling of the cellular necrosis front localization effect during cutaneous cryosurgery”, Math. Models Comput. Simul., 8:6 (2016), 680–688  mathnet  crossref  elib
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