title: Spiral wave dynamics in excitable media with spherical geometries.
abstract: We describe the spatial and temporal organization of spiral and scroll waves in spherical shells of different sizes and solid spheres. We present simulation results for the evolution of the dynamics and clustering of spiral waves as a function of the excitability of the medium. The excitability, topology, and size of the domain places restrictions on how single and multiarmed spiral waves are organized in space. The results in spherical geometries are compared with those in planar two-dimensional media. These studies are relevant to the dynamics of spiral waves in a variety of media including the heart, and chemical reactions on spherical surfaces.
authors.affiliation: Department of Mathematics, Ryerson University, 350 Victoria Street, Toronto, Ontario M5B 2K3, Canada.
authors.forename: Katrin
authors.initials: K
authors.lastname: Rohlf
authors.forename: Leon
authors.initials: L
authors.lastname: Glass
authors.forename: Raymond
authors.initials: R
authors.lastname: Kapral
mesh_terms: D001703:Biophysics / Q000379:methods*; D003198:Computer Simulation; D004058:Diffusion; D007700:Kinetics; D008956:Models, Chemical; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D016011:Normal Distribution; D013997:Time Factors