交替行为对螺旋波影响的数值模拟研究

韦海明; 唐国宁

doi:10.7498/aps.60.040504

摘要

在离散可激发介质Greenberg-Hasting模型中引入交替(alternans)行为,研究了交替行为对螺旋波的影响.数值结果表明:在适当选择参数下,交替对螺旋波有很大影响,例如交替导致螺旋波的形状振荡,形成呼吸螺旋波,交替使螺旋波漫游、漂移,甚至使螺旋波漫游出系统的边界,交替使螺旋波破碎形成小螺旋波、反靶波和时空混沌等,首次在均匀介质中观察到交替导致传导障碍,使螺旋波破碎和消失,并对发生这些现象的机理进行了分析.

关键词:

Abstract

The alternans behavior is considered in the Greenberg-Hasting model of discrete excitable medium. The effect of the alternans behavior on spiral wave is investigated. The numerical results show that when the relevant parameters are appropriately chosen the alternans behavior has a significant influence on spiral waves. For example, the alternans behavior leads to the oscillation of the shape of the spiral wave and to the generation of the breathing spiral wave. The alternans behavior induces the meandering and the drifting of spiral waves, even causes spiral wave to move out of the system. Spiral wave can break up into multiple spiral waves, anti-target wave and spatiotemporal chaos due to the alternans behavior. The phenomena that the alternans behavior leads to the conduction barrier in homogeneous medium and causes spiral wave to break up or vanish, are observed for the first time. The physical mechanisms about these phenomena are briefly analyzed.

Keywords:

作者及机构信息

1.
广西师范大学物理科学与技术学院,桂林 541004

基金项目: 国家自然科学基金(批准号:10765002)资助的课题.

Authors and contacts

1.
College of Physics and Technology,Guangxi Normal University,Guilin 541004,China

参考文献

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施引文献

[1]	Zaikin A N, Zhabotinsky A M 1970 Nature 225 535
[2]	Cross M C, Hohenberg P C 1993 Rev. Mod. Phys. 65 851
[3]	Glass L 1996 Physics Today 8 40
[4]	Ouyang Q 2001 Physics. 30 30 (in Chinese) [欧阳颀 2001 物理 30 30]
[5]	Qu Z L, Xie F G, Garfinkel A A, James N W 2000 Annals of Biomedical Engineering 28 755
[6]	Qian Y, Song X Y, Shi W 2006 Acta Phys. Sin. 55 4420 (in Chinese) [钱郁、宋宣玉、时伟 2006 55 4420]
[7]	Liu F C, Wang X F, Li X C, Dong L F 2007 Chin. Phys. 16 2640
[8]	Yin X, Liu Y 2008 Acta Phys. Sin. 57 6844 (in Chinese) [尹小舟、刘勇 2008 57 6844]
[9]	Ma J, Jin W Y, Yi M, Li Y L 2008 Acta Phys. Sin. 57 2832 (in Chinese) [马军、靳伍银、易鸣、李延龙 2008 57 2832]
[10]	Zhang G Y, Ma J, Gan Z N, Chen Y 2008 Acta Phys. Sin. 57 6815 (in Chinese) [张国用、马军、甘正宁、陈勇 2008 57 2832]
[11]	Ma J, Ying H P, Liu Y, Li S R 2009 Chin. Phys. B 18 98
[12]	Deng M Y,Tang G N,Kong L J, Liu M R 2010 Chin. Phys. B 19 2339
[13]	Ma J,Yi M, Li B W, Li Y L 2008 Chin. Phys. B 17 2438
[14]	Ma J,Jin W Y,Li Y L,Zheng Y 2007 Acta Phys. Sin. 56 2456 (in Chinese) [马军、靳伍银、李延龙、陈勇 2007 物理学报 56 2456] 〖15] Br M, Eiswirth M 1993 Phys. Rev. E 48 1635
[15]	Dai Y, Tang G N 2009 Acta Phys. Sin. 58 3 (in Chinese) [戴瑜、唐国宁 2009 58 3]
[16]	Wang S H, Choe W G, Lee K J 2000 Phys. Rev. E 62 4799
[17]	Tang D N, Tang G N 2010 Acta Phys. Sin. 59 2319 (in Chinese) [唐冬妮、唐国宁 2010 59 2319]
[18]	Gan Z N, Ma J, Zhang G Y, Chen Y 2008 Acta Phys. Sin. 57 5400 (in Chinese) [甘正宁、马军、张国勇、陈勇 2008 57 5400]
[19]	Ma J, Jin W Y, Yi M, Li Y L 2008 Acta Phys. Sin. 57 2832 (in Chinese) [马军、靳伍银、易鸣、李延龙 2008 57 2832]
[20]	Ma J,Wang C N, Jin W Y, Li Y L, Pu Z S 2008 Chin. Phys. B 17 2844
[21]	Yang J Z, Zhang M 2005 Chin. Phys. Lett. 22 3195
[22]	Kurz R W, Mohabir R, Ren Z L,Franzt M R 1993 European Heart Journal 14 1410
[23]	Dilly S G, Lab M J 1988 Journal of Physiology 402 315
[24]	Greenberg J M, Hastings S P 1978 SIAM Journal on Applied Mathematics 34 515
[25]	Zhong M, Tang G N 2010 Acta Phys. Sin. 59 3070 (in Chinese) [钟敏、唐国宁 2010 59 3070]
[26]	Qu Z, Xie F, Garfinkel A, Weiss J N 2000 Annals of Biomedical Engineering 28 755

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