A fast method to simulate travelling waves in nonhomogeneous chemical or biological media
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Publication:1420770
DOI10.1023/B:JOMC.0000004066.71858.06zbMATH Open1035.92005arXivnlin/0112020OpenAlexW1976205187WikidataQ113856915 ScholiaQ113856915MaRDI QIDQ1420770
Publication date: 23 January 2004
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/nlin/0112020
Biophysics (92C05) General biology and biomathematics (92B05) Computational methods for problems pertaining to biology (92-08)
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