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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 |
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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.
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Received: 08 April 2010
Revised: 02 September 2010
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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87.19.Hh
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(Cardiac dynamics)
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87.18.Tt
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(Noise in biological systems)
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87.18.Hf
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(Spatiotemporal pattern formation in cellular populations)
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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(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 2011 Chin. Phys. B 20 020508
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