Organizing Filament of Small Amplitude Scroll Waves |
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| Authors: | ZHOU Tian-Shou ZHANG Suo-Chun |
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| Affiliation: | 1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;2. Institute of Applied Mathematics, Academy of Mathematics andSystem Sciences, The Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | We theoretically analyze theorganizing filament of small amplitude scroll waves in generalexcitable media by perturbation method and explicitly give theexpressions of coefficients in Keener theory. In particular for the excitable media with equal diffusion, we obtaina close system for the motion of the filament. With an example ofthe Oregonator model, our results are in good agreement with thosesimulated by Winfree. |
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| Keywords: | excitable media small amplitude scroll wave organizing filament perturbation method curvature torsion |
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