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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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Pattern formation in excitable reaction-diffusion systems: the eikonal analysis on the torus

Mulholland, A.J. and Gomatam, J. (1995) Pattern formation in excitable reaction-diffusion systems: the eikonal analysis on the torus. Journal of Biological Systems, 3 (4). pp. 1013-1019. ISSN 0218-3390

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Abstract

The excitable reaction-diffusion (R-D) systems of biological and chemical origin harbour a wealth of patterns and structures, not all of which have been modelled by the full R-D equations. The analytical and numerical facility offered by the eikonal approach to the R-D equation is exploited here in the demonstration of existence and stability of a class of solutions on a torus.