MODELING OF CARDIAC ACTIVITY ON THE BASIS OF MAPS: DYNAMICS OF SINGLE ELEMENT
Cite this article as:
Pavlov Е. А., 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: https://doi.org/10.18500/0869-6632-2011-19-3-104-115
New computationally efficient model of cardiac activity is introduced. The model is a fourdimensional map based on wellknown 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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BibTeX
author = {Е. А. Pavlov and G. V. Osipov },
title = {MODELING OF CARDIAC ACTIVITY ON THE BASIS OF MAPS: DYNAMICS OF SINGLE ELEMENT},
year = {2011},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {19},number = {3},
url = {https://old-andjournal.sgu.ru/en/articles/modeling-of-cardiac-activity-on-the-basis-of-maps-dynamics-of-single-element},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2011-19-3-104-115},pages = {104--115},issn = {0869-6632},
keywords = {Map,Cardiac dynamics,membrane potential,excitable cell,pacemaker cell,hysteresis.},
abstract = {New computationally efficient model of cardiac activity is introduced. The model is a fourdimensional map based on wellknown 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. }}