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Formation of band-type electric patterns in Characean cells |
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| Authors: | Masayasu Mitnura Ryo Kobayashi Tohru Tsujikawa |
| Institution: | (1) Department of Mathematics, Hiroshima University, 724 Higashi-Hiroshima, Japan;(2) Department of Applied Mathematics and Informatics, Ryukoku University, 520-21 Seta, Ohtsu, Japan;(3) Faculty of Engineering, Hiroshima Denki Institute of Technology, 739-03 Hiroshima, Japan |
| Abstract: | It is observed by experiments that band patterns of alternating acid and alkaline zones are formed on the surface of Characean cells under illumination. In order to understand theoretically such pattern formation, we employ a reaction-diffusion equation model with activator-inhibitor interaction. We study the existence problem of band patterns and hysteresis phenomena such as patterns appearing and disappearing with changing light intensity by using singular perturbation methods. |
| Keywords: | Reaction diffusion system Pattern formation Singular perturbation |
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