オガワ　トシユキ   OGAWA Toshiyuki   小川　知之    所属   明治大学  総合数理学部    職種   専任教授
言語種別	日本語
発行・発表の年月	2018/06
形態種別	学術雑誌
査読	査読あり
標題	Spiral breakup in a RD system of cardiac excitation due to front?back interaction
執筆形態	共著(筆頭者以外)
掲載誌名	Wave Motion
掲載区分	国外
巻・号・頁	79,73-83頁
著者・共著者	M. Osman Gani, M. Osman Gani, Toshiyuki Ogawa
概要	? 2018 We consider a two-variable partial differential equations model of cardiac excitation and study spiral wave instability in a one-parameter family of solutions. We investigate numerically the existence of periodic traveling wave solution and show the front and the back interaction far away from the bifurcation point in one dimension. In two dimensions, we show the emergence of a stable spiral pattern before the bifurcation point. The most complex spatiotemporal pattern is called ventricular fibrillation when the breakup of one spiral wave makes another wave and the medium becomes chaotic. We show spiral wave instability and periodic traveling wave instability in the same computational settings. It is found that the pattern of the front?back interaction in two dimensions is similar with that of in the one dimension.
DOI	10.1016/j.wavemoti.2018.02.010
ISSN	01652125
PermalinkURL	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85043456576&origin=inward