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.
Citation:
A. M. Denisov, I. A. Pavelchak, “A numerical method for determining the localized initial condition for some mathematical models of the heart excitation”, Mat. Model., 24:7 (2012), 59–66; Math. Models Comput. Simul., 5:1 (2013), 75–80
\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 Mat. Model.
\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}
Linking options:
https://www.mathnet.ru/eng/mm3294
https://www.mathnet.ru/eng/mm/v24/i7/p59
This publication is cited in the following 2 articles:
S. I. Solov'eva, S. R. Tuikina, “Simulating the heart's electric activity: Numericalmethods for inverse problems”, MoscowUniv.Comput.Math.Cybern., 41:2 (2017), 51
S. I. Solov'eva, “Numerical Solution of the Inverse Problem for the Diffusion Equation Under Spherical Symmetry”, Comput Math Model, 26:4 (2015), 528
Citation in format AMSBIB
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