Noise-induced synchronous stochastic oscillations in small scale cultured heart-cell networks

doi:10.1088/1674-1056/20/2/020508

中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20508-020508.doi: 10.1088/1674-1056/20/2/020508

Noise-induced synchronous stochastic oscillations in small scale cultured heart-cell networks

袁岚, 刘志强, 张慧敏, 丁学利, 杨明浩, 古华光, 任维

College of Life Science, Shaanxi Normal University, Xi'an 710062, China

收稿日期:2010-04-08 修回日期:2010-09-02 出版日期:2011-02-15 发布日期:2011-02-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10772101 and 30670533), the National High Technology Research and Development Program of China (Grant No. 2007AA02Z310) and the Fundamental Research Funds for the Central Universities (Grant No. GK200902025).

Noise-induced synchronous stochastic oscillations in small scale cultured heart-cell networks

Yuan Lan(袁岚), Liu Zhi-Qiang(刘志强), Zhang Hui-Min(张慧敏), Ding Xue-Li(丁学利), Yang Ming-Hao(杨明浩), Gu Hua-Guang(古华光)^†, and Ren Wei(任维)

College of Life Science, Shaanxi Normal University, Xi'an 710062, China

Received:2010-04-08 Revised:2010-09-02 Online:2011-02-15 Published:2011-02-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10772101 and 30670533), the National High Technology Research and Development Program of China (Grant No. 2007AA02Z310) and the Fundamental Research Funds for the Central Universities (Grant No. GK200902025).

摘要/Abstract

摘要： This paper reports that the synchronous integer multiple oscillations of heart-cell networks or clusters are observed in the biology experiment. The behaviour of the integer multiple rhythm is a transition between super- and sub-threshold oscillations, the stochastic mechanism of the transition is identified. The similar synchronized oscillations are theoretically reproduced in the stochastic network composed of heterogeneous cells whose behaviours are chosen as excitable or oscillatory states near a Hopf bifurcation point. The parameter regions of coupling strength and noise density that the complex oscillatory rhythms can be simulated are identified. The results show that the rhythm results from a simple stochastic alternating process between super- and sub-threshold oscillations. Studies on single heart cells forming these clusters reveal excitable or oscillatory state nearby a Hopf bifurcation point underpinning the stochastic alternation. In discussion, the results are related to some abnormal heartbeat rhythms such as the sinus arrest.

Abstract: This paper reports that the synchronous integer multiple oscillations of heart-cell networks or clusters are observed in the biology experiment. The behaviour of the integer multiple rhythm is a transition between super- and sub-threshold oscillations, the stochastic mechanism of the transition is identified. The similar synchronized oscillations are theoretically reproduced in the stochastic network composed of heterogeneous cells whose behaviours are chosen as excitable or oscillatory states near a Hopf bifurcation point. The parameter regions of coupling strength and noise density that the complex oscillatory rhythms can be simulated are identified. The results show that the rhythm results from a simple stochastic alternating process between super- and sub-threshold oscillations. Studies on single heart cells forming these clusters reveal excitable or oscillatory state nearby a Hopf bifurcation point underpinning the stochastic alternation. In discussion, the results are related to some abnormal heartbeat rhythms such as the sinus arrest.

Key words: synchronous oscillation, network, Hopf bifurcation, effect of noise, integer multiple rhythms, heart cell

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

87.19.Hh (Cardiac dynamics) 87.18.Tt (Noise in biological systems) 87.18.Hf (Spatiotemporal pattern formation in cellular populations)

袁岚, 刘志强, 张慧敏, 丁学利, 杨明浩, 古华光, 任维. Noise-induced synchronous stochastic oscillations in small scale cultured heart-cell networks[J]. 中国物理B, 2011, 20(2): 20508-020508.

Yuan Lan(袁岚), Liu Zhi-Qiang(刘志强), Zhang Hui-Min(张慧敏), Ding Xue-Li(丁学利), Yang Ming-Hao(杨明浩), Gu Hua-Guang(古华光), and Ren Wei(任维). Noise-induced synchronous stochastic oscillations in small scale cultured heart-cell networks[J]. Chin. Phys. B, 2011, 20(2): 20508-020508.

参考文献 54

[1]	Glass L and Mackey M C 1988 From Clock to Chaos: the Rhythms of Life (Princeton: Princeton University Press) p. 1
[2]	Glass L 2001 Nature 410 277
[3]	Clusin W T 2003 Crit. Rev. Clin. Lab. Sci. 40 337
[4]	González H, Nagai Y, Bub G, Glass L and Shrier A 2003 BioSystems 71 71
[5]	Kanakov O I, Osipov G V, Chan C K and Kurths J 2007 Chaos 17 015111
[6]	Ponard J G, Kondratyev A A and Kucera J P 2007 Biophys. J. 92 3734
[7]	Clay J R and DeHaan R L 1979 Biophys. J. 28 377
[8]	Michaels D C, Matyas E P and Jalife J 1987 Circ. Res. 61 704
[9]	Glass L, Guevara M R and Shrier A 1983 Phyica D 7 89
[10]	Guevara M R, Glass L and Shrier A 1981 Science 214 1350
[11]	Cai D, Winslow R L and Noble D 1994 IEEE Trans. Biomed. Eng. 41 217
[12]	Soen Y, Cohen N, Lipson D and Braun E 1999 Phys. Rev. Lett. 82 3556
[13]	Yamauchi Y, Harada A and Kawahara K 2002 Biol. Cybern. 86 147
[14]	Jalife J 1984 J. Physiol. 356 221
[15]	Aihara R and Hara M 2005 Biophys. Chem. 116 33
[16]	Glass L and Josephson M E 1995 Phys. Rev. Lett. 75 2059
[17]	Jung P, Cornell-Bell A, Moss F, Kadar S, Wang J and Showalter K 1998 Chaos 8 567
[18]	Zheng Z G 2004 Spatiotemporal Dynamics and Collective Behaviours in Coupled System (Beijing: Higher Education Press) p. 175
[19]	Lindner B, Garc'hia-Ojalvo J, Neiman A and Schimansky-Geier L 2004 Phys. Rep. 392 321
[20]	Braun H A, Wissing H, Schäfer K and Hirsch M C 1994 Nature 367 270
[21]	Longtin A, Bulsara A and Moss F 1991 Phys. Rev. Lett. 67 656
[22]	Gu H G, Ren W, Lu Q S, Wu S G, Yang M H and Chen W J 2001 Phys. Lett. A 285 63
[23]	Gu H G, Yang M H, Li L, Liu Z Q and Ren W 2002 NeuroReport 13 1657
[24]	Yang M H, Li L, Liu Z Q, Xu Y L, Liu H J, Gu H G and Ren W 2009 Int. J. Bifur. Chaos 19 453
[25]	Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A 14 L453
[26]	Hu G, Ditzinger T, Ning C Z and Haken H 1993 Phys. Rev. Lett. 71 807
[27]	Lerma C, Krogh-Madsen T, Guevara M R and Glass L 2007 J. Stat. Phys. 128 347
[28]	Kim M Y, Aguilar M, Hodge A, Vigmond E, Shrier A and Glass L 2009 Phys. Rev. Lett. 103 058101
[29]	Zhang N, Zhang H M, Liu Z Q, Ding X L, Yang M H, Gu H G and Ren W 2009 Chin. Phys. Lett. 26 110501
[30]	Bub G, Glass L, Publicover N G and Shrier A 1998 Proc. Natl. Acad. Sci. USA 95 10283.
[31]	Bub G, Shrier A and Glass L 2002 Phys. Rev. Lett. 88 058101
[32]	Bub G, Tateno K, Shrier A and Glass L 2003 J. Cardiovasc. Electr. 14 229
[33]	Liu H J, Liu Z Q, Gu H G, Yang M H, Li L and Ren W 2006 Acta Biophys. Sin. 22 441 (in Chinese)
[34]	Demir S S, Clark J W, Murphey C R and Giles W R 1994 Am. J. Physiol. Cell Physiol. 266 C832
[35]	Kurata Y, Hisatome I, Imanishi S and Shibamoto T 2002 Am. J. Physiol Heart Circ. Physiol. 283 H2074
[36]	FitzHugh R 1961 Biophys. J. 1 445
[37]	Morris C and Lecar H 1981 Biophys. J. 35 193
[38]	Schulte-Frohlinde V, Ashkenazy Y, Ivanov P C, Glass L, Goldberger A L and Stanley H E 2001 Phys. Rev. Lett. 87 068104
[39]	Beeler G W and Reuter H 1977 J. Physiol. 268 177
[40]	Peter K 2003 Circ. Res. 93 381
[41]	Takemura G, Miyata S, Kawase Y, Okada H, Maruyama R and Fujiwara H 2006 Autophagy 2 212
[42]	Dimmeler S and Leri A 2008 Circ. Res. 106 1319
[43]	Liu S Q, Lu Q S and Wang Q 1998 Acta Phys. Sin. 47 1057 (in Chinese)
[44]	Ma J, Jin W Y, Li Y L and Chen Y 2007 Acta Phys. Sin. 56 2456 (in Chinese)
[45]	Yin X Z and Liu Y 2008 Acta Phys. Sin. 57 6844 (in Chinese)
[46]	Wilkins M and Sneyd J 1998 J. Theor. Biol. 191 299
[47]	Shi X M and Liu Z R 2005 Chin. Phys. Lett. 22 3206
[48]	Orchard C H, Mustafa M R and White E 1995 Chaos, Solitons and Fractals 5 447
[49]	Bai Y Q, Tang A H, Wang S Q and Zhu X 2007 Acta Phys. Sin. 56 3607 (in Chinese)
[50]	Tang A H and Wang S Q 2008 Acta Phys. Sin. Prog. Biochem. Biophys. 35 892
[51]	Cheng H, Lederer W J and Cannell M B 1993 Science 262 740
[52]	Davidenko J M, Pertsov A V, Salomonsz R, Baxter W and Jalife J 1992 Nature 355 349
[53]	Wang B H, Lu Q S, Lü S J and Lang X F 2009 Chin. Phys. B 18 872
[54]	Shi X and Lu Q S 2005 Chin. Phys. 14 77

Noise-induced synchronous stochastic oscillations in small scale cultured heart-cell networks

Noise-induced synchronous stochastic oscillations in small scale cultured heart-cell networks

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