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Published on: May 9, 2021
Spiral wave dynamics in excitable media with spherical geometries
Katrin Rohlf1, Leon Glass, Raymond Kapral
1Department of Mathematics, Ryerson University, 350 Victoria Street, Toronto, Ontario M5B 2K3, Canada.
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.
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