Geodesic
A numerical method for determining the localized initial condition for some mathematical models of the heart excitation
Matematičeskoe modelirovanie, Tome 24 (2012) no. 7, pp. 59-66

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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, FitzHugh–Nagumo model, Aliev–Panfilov model, numerical method.
Mots-clés : excitation source 
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     author = {A. M. Denisov and I. A. Pavelchak},
     title = {A numerical method for determining the localized initial condition for some mathematical models of the heart excitation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {59--66},
     publisher = {mathdoc},
     volume = {24},
     number = {7},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_7_a4/}
}
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A. M. Denisov; I. A. Pavelchak. A numerical method for determining the localized initial condition for some mathematical models of the heart excitation. Matematičeskoe modelirovanie, Tome 24 (2012) no. 7, pp. 59-66. http://geodesic.mathdoc.fr/item/MM_2012_24_7_a4/