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The cardiac muscle, which is composed of many discrete cells, is a typical excitable medium. In this paper, we study the effect of refractory period with stochastic perturbations on dynamical behaviors of spiral wave using the model of discrete excitable medium. When the perturbations are random in space, the stability of spiral wave is related to the amplitude of the perturbations and the number of perturbation cells. Computer simulation results show that refractory period perturbations can result in meandering, breakup and disappearance of the spiral waves under suitable conditions, and then their mechanisms are analyzed.
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Keywords:
- spiral wave /
- excitable media /
- stochastic perturbation
[1] Zhang H, Hu B, Hu G 2003 J. Chem. Phys. 119 4468
[2] Tang G N, Deng M Y, Hu B, Hu G 2008 Phys. Rev. E 77 046217
[3] Smolka L, Marts B, Lin A 2005 Phys. Rev. E 72 056205
[4] Bub G, Shrier A, Glass L 2005 Phys. Rev. Lett. 94 028105
[5] Gao J Z, Yang S X, Xie L L, Gao J H 2011 Chin. Phys. B 20 030505
[6] Xie L L, Gao J H 2010 Chin. Phys. B 19 060516
[7] Gao J Z, Xie L L, Xie W M, Gao J H 2011 Acta Phys. Sin. 60 080503 (in Chinese) [高加振, 谢玲玲, 谢伟苗, 高继华 2011 60 080503]
[8] Witkowski F X, Leon L J, Penkoske P A, Giles W R, Spano M L, Ditto W L, Winfree A T 1998 Nature 392 78
[9] Tian C H, Deng M Y, Kong L J, Liu M R 2011 Acta Phys. Sin. 60 080505 (in Chinese) [田昌海, 邓敏艺, 孔令江, 刘慕仁 2011 60 080505]
[10] Zhang H, Hu B, Hu G 2003 Phys. Rev. E 68 026134
[11] Ma J, Huang L, Wang C N, Pu Z S 2013 Commun. Theor. Phys. 59 233
[12] Ma J, Ying H P, Liu Y, Li S R 2009 Chin. Phys. B 18 0098
[13] Qian Y, Liao X H, Huang X D, Mi Y Y, Zhang L S, Hu G 2010 Phys. Rev. E 82 026107
[14] Deng M Y, Tang G N, Kong L J, Liu M R 2011 Chin. Phys. B 20 020510
[15] Wei H M, Tang G N 2011 Acta Phys. Sin. 60 030501 (in Chinese) [韦海明, 唐国宁 2011 60 030501]
[16] Wang C N, Ma J 2013 Acta Phys. Sin. 62 084501 (in Chinese) [王春妮, 马军 2013 62 084501]
[17] Munuzuri A P, Perez-Munuzuri V, Perez-Villar V 1998 Phys. Pev. E 58 R2689
[18] Li B W, Zhang H, Ying H P, Hu G 2009 Phys. Pev. E 79 026220
[19] Zhuang X L, Zeng Y M, Chen B L 2004 Modern Anesthesiology (Beijing: People’s Medical Publishing House) pp2090-2093 (in Chinese) [庄心良, 曾因明, 陈伯銮 2004 现代麻醉学 (北京: 人民卫生出社) 第2090–2093页]
[20] Wei H M, Tang G N 2011 Acta Phys. Sin. 60 040504 (in Chinese) [韦海明, 唐国宁 2011 60 040504]
[21] Zemlin C W, Panfilov A V 2001 Phys. Rev. E 63 041912
[22] Ito H, Glass L 1991 Phys. Rev. Lett. 66 674
[23] Liu H Y, Yang C Y, Tang G N 2013 Acta Phys. Sin. 62 010505 (in Chinese) [刘海英, 杨翠云, 唐国宁 2013 62 010505]
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[1] Zhang H, Hu B, Hu G 2003 J. Chem. Phys. 119 4468
[2] Tang G N, Deng M Y, Hu B, Hu G 2008 Phys. Rev. E 77 046217
[3] Smolka L, Marts B, Lin A 2005 Phys. Rev. E 72 056205
[4] Bub G, Shrier A, Glass L 2005 Phys. Rev. Lett. 94 028105
[5] Gao J Z, Yang S X, Xie L L, Gao J H 2011 Chin. Phys. B 20 030505
[6] Xie L L, Gao J H 2010 Chin. Phys. B 19 060516
[7] Gao J Z, Xie L L, Xie W M, Gao J H 2011 Acta Phys. Sin. 60 080503 (in Chinese) [高加振, 谢玲玲, 谢伟苗, 高继华 2011 60 080503]
[8] Witkowski F X, Leon L J, Penkoske P A, Giles W R, Spano M L, Ditto W L, Winfree A T 1998 Nature 392 78
[9] Tian C H, Deng M Y, Kong L J, Liu M R 2011 Acta Phys. Sin. 60 080505 (in Chinese) [田昌海, 邓敏艺, 孔令江, 刘慕仁 2011 60 080505]
[10] Zhang H, Hu B, Hu G 2003 Phys. Rev. E 68 026134
[11] Ma J, Huang L, Wang C N, Pu Z S 2013 Commun. Theor. Phys. 59 233
[12] Ma J, Ying H P, Liu Y, Li S R 2009 Chin. Phys. B 18 0098
[13] Qian Y, Liao X H, Huang X D, Mi Y Y, Zhang L S, Hu G 2010 Phys. Rev. E 82 026107
[14] Deng M Y, Tang G N, Kong L J, Liu M R 2011 Chin. Phys. B 20 020510
[15] Wei H M, Tang G N 2011 Acta Phys. Sin. 60 030501 (in Chinese) [韦海明, 唐国宁 2011 60 030501]
[16] Wang C N, Ma J 2013 Acta Phys. Sin. 62 084501 (in Chinese) [王春妮, 马军 2013 62 084501]
[17] Munuzuri A P, Perez-Munuzuri V, Perez-Villar V 1998 Phys. Pev. E 58 R2689
[18] Li B W, Zhang H, Ying H P, Hu G 2009 Phys. Pev. E 79 026220
[19] Zhuang X L, Zeng Y M, Chen B L 2004 Modern Anesthesiology (Beijing: People’s Medical Publishing House) pp2090-2093 (in Chinese) [庄心良, 曾因明, 陈伯銮 2004 现代麻醉学 (北京: 人民卫生出社) 第2090–2093页]
[20] Wei H M, Tang G N 2011 Acta Phys. Sin. 60 040504 (in Chinese) [韦海明, 唐国宁 2011 60 040504]
[21] Zemlin C W, Panfilov A V 2001 Phys. Rev. E 63 041912
[22] Ito H, Glass L 1991 Phys. Rev. Lett. 66 674
[23] Liu H Y, Yang C Y, Tang G N 2013 Acta Phys. Sin. 62 010505 (in Chinese) [刘海英, 杨翠云, 唐国宁 2013 62 010505]
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