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Chin. Phys. B, 2011, Vol. 20(2): 020508    DOI: 10.1088/1674-1056/20/2/020508
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Noise-induced synchronous stochastic oscillations in small scale cultured heart-cell networks

Yuan Lan, Liu Zhi-Qiang, Zhang Hui-Min, Ding Xue-Li, Yang Ming-Hao, Gu Hua-Guang, Ren Wei
College of Life Science, Shaanxi Normal University, Xi'an 710062, China
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.
Keywords:  effect of noise      network      Hopf bifurcation      synchronous oscillation      integer multiple rhythms      heart cell  
Received:  08 April 2010      Revised:  02 September 2010      Published:  15 February 2011
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  87.19.Hh (Cardiac dynamics)  
  87.18.Tt (Noise in biological systems)  
  87.18.Hf (Spatiotemporal pattern formation in cellular populations)  
Fund: 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).

Cite this article: 

Yuan Lan, Liu Zhi-Qiang, Zhang Hui-Min, Ding Xue-Li, Yang Ming-Hao, Gu Hua-Guang, Ren Wei Noise-induced synchronous stochastic oscillations in small scale cultured heart-cell networks 2011 Chin. Phys. B 20 020508

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