Topological constraints on spiral wave dynamics in spherical geometries with inhomogeneous excitability

Publication Type:

Journal Article

Authors:

Source:

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Volume 70, Number 5 2, p.056203-1-056203-6 (2004)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-41349109087&doi=10.1103%2fPhysRevE.70.056203&partnerID=40&md5=f8d3a050baa6e1180e4a4733da2bf83e

Keywords:

Computer Simulation, Constraint theory, Electric excitation, Heterogeneity, Maps, Mathematical models, Oscillations, Parameter estimation, Spherical geometries, Spiral wave dynamics, Topological constraints, Topology, Wave propagation

Abstract:

The topological constraints on spiral wave dynamics in spherical geometries with inhomogeneous excitability were investigated. The index characterizes each hole in punctured, oriented, compact, two-dimensional (2D) differentiable manifolds. It was observed that the heterogeneity and geometry were responsible for the formation of various spiral-wave attractors in particular pairs of spirals, in which one spiral acts as a source and a second as a sink. The results provide a basis for the analysis of the propagation of waves in heterogeneous excitable media in physical and biological media.

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