title: Cluster synchronization and spatio-temporal dynamics in networks of oscillatory and excitable Luo-Rudy cells.
abstract: We study collective phenomena in nonhomogeneous cardiac cell culture models, including one- and two-dimensional lattices of oscillatory cells and mixtures of oscillatory and excitable cells. Individual cell dynamics is described by a modified Luo-Rudy model with depolarizing current. We focus on the transition from incoherent behavior to global synchronization via cluster synchronization regimes as coupling strength is increased. These regimes are characterized qualitatively by space-time plots and quantitatively by profiles of local frequencies and distributions of cluster sizes in dependence upon coupling strength. We describe spatio-temporal patterns arising during this transition, including pacemakers, spiral waves, and complicated irregular activity.
authors.affiliation: Department of Radiophysics, Nizhny Novgorod University, Gagarin Avenue, 23, 603950 Nizhny Novgorod, Russia.
authors.forename: O I
authors.initials: OI
authors.lastname: Kanakov
authors.forename: G V
authors.initials: GV
authors.lastname: Osipov
authors.forename: C-K
authors.initials: CK
authors.lastname: Chan
authors.forename: J
authors.initials: J
authors.lastname: Kurths
mesh_terms: D000200:Action Potentials; D000818:Animals; D001145:Arrhythmias, Cardiac / Q000503:physiopathology*; D001683:Biological Clocks; D016000:Cluster Analysis; D003198:Computer Simulation; D006329:Heart Conduction System / Q000503:physiopathology*; D006801:Humans; D008955:Models, Cardiovascular; D009200:Myocardial Contraction; D032383:Myocytes, Cardiac; D009991:Oscillometry / Q000379:methods