A fast method to simulate travelling waves in nonhomogeneous chemical or biological media

Kristof Kaly-Kullai

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arXiv · nlin/0112020

A fast method to simulate travelling waves in nonhomogeneous chemical or biological media

Kristof Kaly-Kullai

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Abstract

Waves in excitable media can be treated by a simple geometric theory. The propagation velocity is assumed known and evolution of wave fronts is determined by elementary physical principles (Fermat's principle, Huygens' principle). Based on this geometric theory a fast computational method is developed. By this method the distorting effect of the spatial grid is avoided. The method is applied to the cases when a circular obstacle is surrounded by a homogeneous and heterogeneous medium, respectively. The numerical simulations show that the method is convenient, fast and reliable.

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Kristof Kaly-Kullai. 2001-12-12. A fast method to simulate travelling waves in nonhomogeneous chemical or biological media. https://arxiv.org/abs/nlin/0112020

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