ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Pavlov E. A., Osipov G. V. Modeling of cardiac activity on the basis of maps: ensembles of coupled elements. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 3, pp. 116-126. DOI: 10.18500/0869-6632-2011-19-3-116-126

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Modeling of cardiac activity on the basis of maps: ensembles of coupled elements

Pavlov Evgenij Aleksandrovich, Lobachevsky State University of Nizhny Novgorod
Osipov Grigorij Vladimirovich, Lobachevsky State University of Nizhny Novgorod

The dynamics of coupled maps’ ensembles is investigated in the context of description of spatio-temporal processes in the myocardium. Particular, the dynamics of two coupled maps is explored as well as modeling the interaction of pacemaker (oscillatory) cell and myocyte (excitable cell), and the interation of two pacemakers. Setting of synchronous regime by increasing of coupling strength is considered through a coincidence of their characteristic time scales (characteristic frequencies). Effects of cluster and global synchronization in 1D and 2D lattices of oscillatory cells with a random distribution of individual frequencies are discussed. Impulse propagation in the chain of excitable cells has been observed. Analysis of 2D lattice of excitable elements with target and spiral waves has been made. The characteristics of the spiral wave have been analyzed in depending on the individual parameters of the map and coupling strength between elements of the lattice. Comparative results of computational efficiency with the mapbased model and original ODE model are presented.

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