Geodesic
Numerical analysis of the FitzHugh--Nagumo model in a three-dimensional domain
Numerical methods and programming, Tome 15 (2014) no. 3, pp. 383-387

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The FitzHugh–Nagumo mathematical model of heart excitation is considered in the form of the initial boundary value problem for the evolution system of partial differential equations in a three-dimensional domain that corresponds to the actual geometry of the heart and its ventricles. A numerical analysis of excitation caused by a localized source is performed. The possibility of excitation from a source located in the cardiac muscle is discussed. The dependence of the velocity of excitation propagation and the width of its front on the model parameters is studied.
Keywords: FitzHugh–Nagumo model, numerical methods, heart excitation, evolution systems of equations, initial boundary value problems, partial differential equations, inverse problems. 
@article{VMP_2014_15_3_a0,
     author = {I. A. Pavelchak},
     title = {Numerical analysis of the {FitzHugh--Nagumo} model in a three-dimensional domain},
     journal = {Numerical methods and programming},
     pages = {383--387},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_3_a0/}
}
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I. A. Pavelchak. Numerical analysis of the FitzHugh--Nagumo model in a three-dimensional domain. Numerical methods and programming, Tome 15 (2014) no. 3, pp. 383-387. http://geodesic.mathdoc.fr/item/VMP_2014_15_3_a0/