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このアイテムの引用には次の識別子を使用してください: http://hdl.handle.net/10445/4404

タイトル: Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold
著者: Yamada, Hiroyasu
Nakagaki, Toshiyuki
Baker, Ruth E.
Maini, Philip K.
アブストラクト: In the large amoeboid organism Physarum, biochemical oscillators are spatially distributed throughout the organism and their collective motion exhibits phase waves, which carry physiological signals. The basic nature of this wave behaviour is not well-understood because, to date, an important effect has been neglected, namely, the shuttle streaming of protoplasmwhich accompanies the biochemical rhythms. Here we study the effects of self-consistent flow on the wave behaviour of oscillatory reaction-diffusion models proposed for the Physarum plasmodium, by means of numerical simulation for the dispersion relation and weakly nonlinear analysis for derivation of the phase equation. We conclude that the flow term is able to increase the speed of phase waves (similar to elongation of wave length). We compare the theoretical consequences with real waves observed in the organism and also point out the physiological roles of these effects on control mechanisms of intracellular communication.
研究業績種別: 原著論文/Original Paper
資料種別: Journal Article
査読有無: あり/yes
単著共著: 共著/joint
発表雑誌名,発表学会名など: Journal of Mathematical Biology
巻: 54
開始ページ: 745
終了ページ: 760
年月日: 2007年
出現コレクション:中垣 俊之

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