スエマツ　ノブヒコ   SUEMATSU Nobuhiko   末松　信彦    所属   明治大学  総合数理学部    職種   専任教授
言語種別	英語
発行・発表の年月	2013/06
形態種別	学術雑誌
査読	査読あり
標題	Mechanism of spiral formation in heterogeneous discretized excitable media
執筆形態	共著(筆頭者以外)
掲載誌名	Physical Review E
巻・号・頁	87,pp.062815
概要	Spiral waves on excitable media strongly influence the functions of living systems in both a positive and negative way. The spiral formation mechanism has thus been one of the major themes in the field of reaction-diffusion systems. Although the widely believed origin of spiral waves is the interaction of traveling waves, the heterogeneity of an excitable medium has recently been suggested as a probable cause. We suggest one possible origin of spiral waves using a Belousov-Zhabotinsky reaction and a discretized FitzHugh-Nagumo model. The heterogeneity of the reaction field is shown to stochastically generate unidirectional sites, which can induce spiral waves. Furthermore, we found that the spiral wave vanished with only a small reduction in the excitability of the reaction field. These results reveal a gentle approach for controlling the appearance of a spiral wave on an excitable medium.
DOI	http://dx.doi.org/10.1103/PhysRevE.87.062815