心脏老化和收缩对螺旋波动力学的影响研究

刘海英; 杨翠云; 唐国宁

doi:10.7498/aps.62.010505

摘要

通过用Greenberg-Hasting元胞自动机模型的邻域半径和激发阈值的增大来模拟心脏老化, 用邻域半径交替变化代替心脏收缩与舒张, 数值模拟研究了心脏老化和有规律收缩对螺旋波动力学的影响. 结果表明: 心脏老化会导致螺旋波漫游和不能产生螺旋波, 既可以使螺旋波波长缩短和螺旋波周期维持不变, 也可以使螺旋波的波长变长和周期增大; 在心脏老化和有规律收缩共同作用下, 系统可出现不同形状的螺旋波斑图、螺旋波发生破碎和消失等现象, 给出了心力衰竭、心颤、死亡的发生概率, 这些结果与流行病相关调查结果基本符合.

关键词:

Abstract

In this paper, the effects of the aging and systole of heart on the dynamics of spiral wave are studied by using the Greenberg-Hasting cellular automaton model. In this model the neighbor radius and the excitation threshold are increased in order to simulate the aging of heart, and the neighbor radius is changed alternately to simulate heart systole and diastole. The results show that the aging of heart can induce some influences on spiral wave, such as make spiral wave meandering, and even cause spiral wave to disappear; in addition, it can shorten the wavelength and keep period fixed, and also elongate the wavelength and increase the period of spiral wave. If the aging and the regular systole of heart take place at the same time, we observe some phenomena, such as different spiral wave patterns, the spiral wave breakup and disappearance. We also obtain the probabilities of heart failure, ventricular fibrillation and death. These results are essentially consistent with the results of relevant epidemiological survey.

Keywords:

作者及机构信息

1.
广西师范大学物理与科学技术学院, 桂林 541004;

2.
桂林师范高等专科学校物理与信息技术系, 桂林 541002

基金项目: 国家自然科学基金(批准号:11165004) 和广西教育厅科研项目(编号:201106LX699)资助的课题.

Authors and contacts

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

2.
Department of Physics and Information Technology, Guilin Normal College, Guilin 541002, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11165004), and the Education Department of Guangxi Zhuang Autonomous Region, China (Grant No. 201106LX699).

参考文献

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[18]	Wei H M, Tang G N 2011 Acta Phys. Sin. 60 030501 (in Chinese) [韦海明, 唐国宁 2011 60 030501]
[19]	Zhang H, Ruan X S, Hu B, Ouyang Q 2004 Phys. Rev. E 70 016212
[20]	Zhang H, Li B W, Sheng Z M, Cao Z J, Hu G 2006 Europhys. Lett. 76 1109
[21]	Olivetti G, Melissari M, Capasso J M, Anversa P 1991 Circ. Res. 68 1560
[22]	Greenberg J M, Hastings S P 1978 SIAM J. Appl. Math. 34 515
[23]	Kohl P, Camelliti P, Burton F L, Smith G L 2005 J. Electrocardiology 38 45
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[27]	Kannel W B, Ho K, Thom T 1994 Br. Heart J. 72 (Supplement) S 3

施引文献

[1]	Zaikin A N, Zhabotinsky A M 1970 Nature 225 535
[2]	Bär M, Gottschalk N, Eiswirth M, Ertl G 1994 J. Chem. Phys. 100 1202
[3]	Witkowski F X, Leon L J, Penkoske P A, Giles W R, Spanoll M L, Ditto W L, Winfree A T 1998 Nature 392 78
[4]	Fenton F H, Cherry E M, Hasting H M, Evans S J 2002 Chaos 12 852
[5]	Qian Y, Song X Y, Shi W, Chen G Z, Xue Y, 2006 Acta Phys. Sin. 55 4420 (in Chinese) [钱郁, 宋宣玉, 时伟, 陈光旨, 薛郁 2006 55 4420]
[6]	Liu F C, Wang X F, Li X C, Dong L F 2007 Chin. Phys. 16 2640
[7]	Yin X Z, Liu Y 2008 Acta Phys. Sin. 57 6844 (in Chinese) [尹小舟, 刘勇 2008 57 6844]
[8]	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]
[9]	Liu Y, Li S R, Ma J, Ying H P 2009 Chin. Phys. B 18 98
[10]	Deng M Y, Tang G N, Kong L J, Liu M R 2010 Acta Phys. Sin. 59 2339 (in Chinese) [邓敏艺, 唐国宁, 孔令江, 刘慕仁 2010 59 2339]
[11]	Bär M, Eiswirth M 1993 Phys. Rev. E 48 1635
[12]	Dai Y, Tang G N 2009 Acta Phys. Sin. 58 1491 (in Chinese) [戴瑜, 唐国宁 2009 58 1491]
[13]	Wang S H, Choe W G, Lee K J 2000 Phys. Rev. E 62 4799
[14]	Tang D N, Tang G N 2010 Acta Phys. Sin. 59 2319 (in Chinese) [唐冬妮, 唐国宁 2010 59 2319]
[15]	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]
[16]	Ma J, Wang C N, Jin W Y, Li Y L, Pu Z S 2008 Chin. Phys. B 17 2844
[17]	Yang J Z, Zhang M 2005 Chin. Phys. Lett. 22 3195
[18]	Wei H M, Tang G N 2011 Acta Phys. Sin. 60 030501 (in Chinese) [韦海明, 唐国宁 2011 60 030501]
[19]	Zhang H, Ruan X S, Hu B, Ouyang Q 2004 Phys. Rev. E 70 016212
[20]	Zhang H, Li B W, Sheng Z M, Cao Z J, Hu G 2006 Europhys. Lett. 76 1109
[21]	Olivetti G, Melissari M, Capasso J M, Anversa P 1991 Circ. Res. 68 1560
[22]	Greenberg J M, Hastings S P 1978 SIAM J. Appl. Math. 34 515
[23]	Kohl P, Camelliti P, Burton F L, Smith G L 2005 J. Electrocardiology 38 45
[24]	Gu D F, Huang G Y, He J, Wu X G, Duan X F, Stephen M M, Paul K W 2003 Chin. J. Cardiology 31 3 ( in Chinese) [顾东风, 黄广勇, 何江, 吴锡桂, 段秀芳, Stephen M M, Paul K W 2003 中华心血管病杂志 31 3]
[25]	Wang L 2011 South China Journal of Cardiovascular Diseases 17 178 (in Chinese) [王林 2011 岭南心血管病杂志 17 178]
[26]	Zhou Z Q, Hu D Y, Chen J, Zhang R H, Li K B, Zhao X L 2004 Chin. J. Intern. Med. 43 491 (in Chinese) [周自强, 胡大一, 陈捷, 张仁汉, 李奎宝, 赵秀丽 2004 中华内科杂志 43 491]
[27]	Kannel W B, Ho K, Thom T 1994 Br. Heart J. 72 (Supplement) S 3

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