title: Synchronization of hyperexcitable systems with phase-repulsive coupling.
abstract: We study two-dimensional arrays of FitzHugh-Nagumo elements with nearest-neighbor coupling from the viewpoint of synchronization. The elements are diffusively coupled. By varying the diffusion coefficient from positive to negative values, interesting synchronization patterns are observed. The results of the simulations resemble the intracellular oscillation patterns observed in cultured human epileptic astrocytes. Three measures are proposed to determine the degree of synchronization (or coupling) in both the simulated and the experimental system.
authors.affiliation: Center for Neurodynamics, University of Missouri-St Louis, 8001 Natural Bridge Road, St Louis, Missouri 63121-4499, USA.
authors.forename: G
authors.initials: G
authors.lastname: Balázsi
authors.forename: A
authors.initials: A
authors.lastname: Cornell-Bell
authors.forename: A B
authors.initials: AB
authors.lastname: Neiman
authors.forename: F
authors.initials: F
authors.lastname: Moss
mesh_terms: D001253:Astrocytes / Q000378:metabolism*; D001703:Biophysics / Q000379:methods; D002118:Calcium / Q000378:metabolism; D020013:Calcium Signaling; D002478:Cells, Cultured; D004058:Diffusion; D019277:Entropy; D004827:Epilepsy / Q000473:pathology*; D006801:Humans; D015233:Models, Statistical; D009991:Oscillometry; D013702:Temporal Lobe / Q000166:cytology; D013816:Thermodynamics; D013997:Time Factors
chemical_list: D002118:Calcium