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以Luo-Rudy相I心脏模型为基础,研究心脏中螺旋波和时空混沌的控制,提出了两种控制方法: (Ⅰ)通过交替改变细胞外钾离子浓度来产生平面波,再利用弱外电场辅助平面波抑制螺旋波和时空混沌; (Ⅱ)先提高细胞外钾离子浓度,然后利用外电场激发波的方式产生平面波,再用平面波去抑制螺旋波和时空混沌. 研究结果表明,只要适当选择控制参数,这两种方法都能够有效抑制螺旋波和时空混沌. 当心肌出现局部缺血时,在心肌缺血处就会出现高的细胞外钾离子浓度,在这种情况下, 可以采用电场发射波的方法来抑制心脏中的螺旋波和时空混沌.对这些控制方法的优点和控制机制做了解释.
[1] Meron E, Pelc E P 1988 Phys. Rev. Lett. 60 1880
[2] Ma J, Wu N J, Ying H P, Pu 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] Yi X Z, Liu Y 2008 Acta Phys. Sin. 57 6844 (in Chinese) [尹小舟, 刘勇 2008 物理学报 57 6844]
[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] Gabbay M, Ott E, Guzdar P N 1999 Phys. Rev. E 59 2443
[7] Krinsky V I, Hamm E, Voignier V 1996 Phys. Rev. Lett. 76 3854
[8] Kheowan O U, Zykov V S, Rangsiman O, Muller S C 2001 Phys. Rev. Lett. 86 2170
[9] Osipov G V, Collins J J 1999 Phys. Rev. E 60 54
[10] Qu Z L, Weiss J N 2005 Am. J. Physiol. Heart Circ. Physiol. 289 1692
[11] 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]
[12] Ouyang Q 2001 Physics 30 31 (in Chinese) [欧阳颀 2001 物理 30 31]
[13] Young J B, Abraham W T, Smith A L 2003 The Journal of the American Medical Association 289 2685
[14] Wathen M S, Degroot P J, Sweeney M O, Stark A J, Otterness M F, Adkisson W O, Canby R C, Khalighi K, Machado C, Rubenstein D S, Volosin K J 2004 Circulation 110 2591
[15] White J B, Walcott G P, Pollard A E, Ideker R E 1998 Circulation 97 1738
[16] Pumir A, Krinsky V 1999 J. Theor. Biol. 199 311
[17] Pumir A, Nikolski M, Hörning M, Isomura A, Agladze K, Yoshikawa K, Gilmour R, Bodenschatz E, Krinsky V 2007 Phys. Rev. Lett. 99 208101
[18] Hörning M, Takagi S, Yoshikawa K 2010 Phys. Rev. E 82 021926
[19] Kleber A G 1983 Circ. Res. 52 442
[20] Luo C H, Rudy Y 1991 Circ. Res. 68 1501
[21] Wu J H, Han Q S 1988 Computational Fluid Dynamics Theory, Mmethod and Application 05 (Beijing: Science press) p105 (in Chinese) [吴江航, 韩庆书 1988 计算流体力学的理论,方法及应用 05 (北京:科学出版社) 第105页]
[22] Cui H, Sun L, Wang Z R 2006 J. Pract. Electrocardiol. 15 116 (in Chinese) [崔红, 孙玲, 王志榕 2006 实用心电学杂志 15 116]
[23] Shaw R M, Rudy Y 1997 Cardiovasc. Res. 35 256
[24] Zhong M, Tang G N 2010 Acta Phys. Sin. 59 1593 (in Chinese) [钟敏, 唐国宁 2010 物理学报 59 1593]
-
[1] Meron E, Pelc E P 1988 Phys. Rev. Lett. 60 1880
[2] Ma J, Wu N J, Ying H P, Pu 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] Yi X Z, Liu Y 2008 Acta Phys. Sin. 57 6844 (in Chinese) [尹小舟, 刘勇 2008 物理学报 57 6844]
[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] Gabbay M, Ott E, Guzdar P N 1999 Phys. Rev. E 59 2443
[7] Krinsky V I, Hamm E, Voignier V 1996 Phys. Rev. Lett. 76 3854
[8] Kheowan O U, Zykov V S, Rangsiman O, Muller S C 2001 Phys. Rev. Lett. 86 2170
[9] Osipov G V, Collins J J 1999 Phys. Rev. E 60 54
[10] Qu Z L, Weiss J N 2005 Am. J. Physiol. Heart Circ. Physiol. 289 1692
[11] 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]
[12] Ouyang Q 2001 Physics 30 31 (in Chinese) [欧阳颀 2001 物理 30 31]
[13] Young J B, Abraham W T, Smith A L 2003 The Journal of the American Medical Association 289 2685
[14] Wathen M S, Degroot P J, Sweeney M O, Stark A J, Otterness M F, Adkisson W O, Canby R C, Khalighi K, Machado C, Rubenstein D S, Volosin K J 2004 Circulation 110 2591
[15] White J B, Walcott G P, Pollard A E, Ideker R E 1998 Circulation 97 1738
[16] Pumir A, Krinsky V 1999 J. Theor. Biol. 199 311
[17] Pumir A, Nikolski M, Hörning M, Isomura A, Agladze K, Yoshikawa K, Gilmour R, Bodenschatz E, Krinsky V 2007 Phys. Rev. Lett. 99 208101
[18] Hörning M, Takagi S, Yoshikawa K 2010 Phys. Rev. E 82 021926
[19] Kleber A G 1983 Circ. Res. 52 442
[20] Luo C H, Rudy Y 1991 Circ. Res. 68 1501
[21] Wu J H, Han Q S 1988 Computational Fluid Dynamics Theory, Mmethod and Application 05 (Beijing: Science press) p105 (in Chinese) [吴江航, 韩庆书 1988 计算流体力学的理论,方法及应用 05 (北京:科学出版社) 第105页]
[22] Cui H, Sun L, Wang Z R 2006 J. Pract. Electrocardiol. 15 116 (in Chinese) [崔红, 孙玲, 王志榕 2006 实用心电学杂志 15 116]
[23] Shaw R M, Rudy Y 1997 Cardiovasc. Res. 35 256
[24] Zhong M, Tang G N 2010 Acta Phys. Sin. 59 1593 (in Chinese) [钟敏, 唐国宁 2010 物理学报 59 1593]
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