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Matematicheskoe modelirovanie, 2012, Volume 24, Number 7, Pages 59–66 (Mi mm3294)  
This article is cited in 2 scientific papers (total in 2 papers)

A numerical method for determining the localized initial condition for some mathematical models of the heart excitation

A. M. Denisov, I. A. Pavelchak

Lomonosov Moscow State University
Full-text PDF (456 kB) Citations (2)
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Abstract: A numerical method for determining the localized initial conditions for some mathematical models of the heart excitation is proposed. In the direct problem the process of changing field potential in two domains, corresponding to a heart and a torso, is modelled. A change of the potential in the heart is described by FitzHugh–Nagumo model or Aliev–Panfilov model for 2D domain. The inverse problem consists in determining the localized initial excitation of the heart from potential measurements on the boundary of the torso. The results of numerical experiments are presented.
Keywords: inverse problem, excitation source, FitzHugh–Nagumo model, Aliev–Panfilov model, numerical method.
Received: 09.02.2012
English version:
Mathematical Models and Computer Simulations, 2013, Volume 5, Issue 1, Pages 75–80
DOI: https://doi.org/10.1134/S2070048213010043
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. M. Denisov, I. A. Pavelchak, “A numerical method for determining the localized initial condition for some mathematical models of the heart excitation”, Matem. Mod., 24:7 (2012), 59–66; Math. Models Comput. Simul., 5:1 (2013), 75–80
Citation in format AMSBIB
\Bibitem{DenPav12}
\by A.~M.~Denisov, I.~A.~Pavelchak
\paper A numerical method for determining the localized initial condition for some mathematical models of the heart excitation
\jour Matem. Mod.
\yr 2012
\vol 24
\issue 7
\pages 59--66
\mathnet{http://mi.mathnet.ru/mm3294}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3051809}
\elib{https://elibrary.ru/item.asp?id=21276776}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 1
\pages 75--80
\crossref{https://doi.org/10.1134/S2070048213010043}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928997134}
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    • This publication is cited in the following 2 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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    References:76
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