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Cardiac memory effect, which exhibits the time-delayed coupling of membrane voltage, is introduced into Luo-Rudy phase I cardiac model. The effect of the cardiac memory on spiral waves is investigated. The numerical results show that the cardiac memory can lead to irregular meandering of spiral waves. When the delay-time is properly chosen, the increase of memory strength causes the decrease of spiral wave frequency. If memory strength exceeds the critical value, the cardiac memory results in the disappearances of both spiral waves and spatiotemporal chaos in system because the time-dependent potassium ion current is over suppressed by cardiac memory.
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Keywords:
- spiral wave /
- spatiotemporal chaos /
- cardiac memory /
- time-delay
[1] Yuan G Y, Yang S P, Zhang G C, Wang G R, Chen S G 2007 Advance in Mechanics 37 9 (in Chinese) [袁国勇, 杨世平, 张广才, 王光瑞, 陈式刚 2007 力学进展 37 9]
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[3] Ma J, Pu Z S, Feng W J, Li W X 2005 Acta Phys. Sin. 54 4602 (in Chinese) [马 军, 蒲忠盛, 冯旺军, 李维学 2005 物理学报 54 4602]
[4] Xiao X H, Tang G N 2011 Complex Systems and Complexity Science 8 58 (in Chinese) [肖向华, 唐国宁 2011 复杂系统与复杂性科学 8 58]
[5] 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 物理学报 60 080503]
[6] Zhong M, Tang G N 2010 Acta Phys. Sin.59 3070 (in Chinese) [钟 敏, 唐国宁 2010 物理学报 59 3070]
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[9] Jeyaraj D, Wilson L D, Zhong J, Flask C, Saffitz J E, Deschenes I, Yu X, Rosenbaum D S 2007 Circulation 115 3145
[10] Wu X, Zheng Y X 1999 Adv. Cardiovasc. Dis. 18 181 (in Chinese)[吴 祥, 郑毅雄 1999 心血管病学进展 18 181]
[11] Coppen S R, Severs N J, Gourdie R G 1999 Dev. Genet. 24 82
[12] Rosen M R, Binah O, Maron S 2003 Circulation 108 1784
[13] Luo C H, Rudy Y 1991 Circ. Res. 68 1501
[14] Hovel P, Dahlem M A, Scholl E 2008 Int. J. Bifurcation and Chaos 20 813
[15] Qu Z L, Xie F G, Garfinkel A, Weiss J N 2000 Ann. Biomed. Eng. 28 755
[16] Ouyang Q 2001 Physics 30 31 (in Chinese) [欧阳颀 2001 物理 30 31]
[17] Young J B, Abraham W T, Smith A L 2003 The Journal of the American Medical Association (JAMA) 289 2685
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[1] Yuan G Y, Yang S P, Zhang G C, Wang G R, Chen S G 2007 Advance in Mechanics 37 9 (in Chinese) [袁国勇, 杨世平, 张广才, 王光瑞, 陈式刚 2007 力学进展 37 9]
[2] Ma J, Wu N J, Ying H PPu Z S 2006 Chin. J. Comput. Phys. 23 243
[3] Ma J, Pu Z S, Feng W J, Li W X 2005 Acta Phys. Sin. 54 4602 (in Chinese) [马 军, 蒲忠盛, 冯旺军, 李维学 2005 物理学报 54 4602]
[4] Xiao X H, Tang G N 2011 Complex Systems and Complexity Science 8 58 (in Chinese) [肖向华, 唐国宁 2011 复杂系统与复杂性科学 8 58]
[5] 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 物理学报 60 080503]
[6] Zhong M, Tang G N 2010 Acta Phys. Sin.59 3070 (in Chinese) [钟 敏, 唐国宁 2010 物理学报 59 3070]
[7] Rosenbaum M B, Blanco H H, Elizan M V, Lazzari J O, Davidenko J M 1982 Am. J. Cardio. 50 213
[8] Xie D, Chen C, Huang S A 2011 Adv. Cardiovasc. Dis. 32 272 (in Chinese) [谢 德, 陈 灿, 黄石安 2011 心血管病学进展 32 272]
[9] Jeyaraj D, Wilson L D, Zhong J, Flask C, Saffitz J E, Deschenes I, Yu X, Rosenbaum D S 2007 Circulation 115 3145
[10] Wu X, Zheng Y X 1999 Adv. Cardiovasc. Dis. 18 181 (in Chinese)[吴 祥, 郑毅雄 1999 心血管病学进展 18 181]
[11] Coppen S R, Severs N J, Gourdie R G 1999 Dev. Genet. 24 82
[12] Rosen M R, Binah O, Maron S 2003 Circulation 108 1784
[13] Luo C H, Rudy Y 1991 Circ. Res. 68 1501
[14] Hovel P, Dahlem M A, Scholl E 2008 Int. J. Bifurcation and Chaos 20 813
[15] Qu Z L, Xie F G, Garfinkel A, Weiss J N 2000 Ann. Biomed. Eng. 28 755
[16] Ouyang Q 2001 Physics 30 31 (in Chinese) [欧阳颀 2001 物理 30 31]
[17] Young J B, Abraham W T, Smith A L 2003 The Journal of the American Medical Association (JAMA) 289 2685
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