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

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

2001-12-12

arxiv.org/abs/nlin/0112020v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

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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