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: dynamics of single element. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 3, pp. 104-115. DOI: 10.18500/0869-6632-2011-19-3-104-115

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Modeling of cardiac activity on the basis of maps: dynamics of single element

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

New computationally efficient model of cardiac activity is introduced. The model is a four-dimensional map based on well-known Luo–Rudy model. Capabilities of the model in replication of the basic cardiac cells’ properties are shown. Analysis of relationship between changes in individual parameters of the model and biophysical processes in real cardiac cells has been made. The model can reproduce two basic activity modes such as excitable and oscillatory regimes. Bifurcation mechanisms of transitions of between these regimes are investigated using phase space analysis. The dynamics of excitable cell on the external periodic action, including various types of synchronous response and hysteresis phenomenon, is investigated. 

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