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Effects of sodium and potassium ion channel fluctuation on the spatiotemporal patterns of neuronal network

Liu Shao-Bao Wu Ying Hao Zhong-Wen Li Yin-Jun Jia Ning

Effects of sodium and potassium ion channel fluctuation on the spatiotemporal patterns of neuronal network

Liu Shao-Bao, Wu Ying, Hao Zhong-Wen, Li Yin-Jun, Jia Ning
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  • Received Date:  01 March 2011
  • Accepted Date:  19 May 2011
  • Published Online:  05 January 2012

Effects of sodium and potassium ion channel fluctuation on the spatiotemporal patterns of neuronal network

  • 1. State key Laboratory for strength and Vibration, School of Aerospace, Xi’an Jiaotong University, Xi’an 710049, Chain;
  • 2. Department of Engineering Mechanics, School of Sciences, Xi’an University of Technology, Xi’an 710048, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 10972179, 10872155, 10602003).

Abstract: Taking into account sodium and potassium ion channel noises, the evolution of the patterns of neuronal networks is investigated. No matter what kind of ion channel noise is working, with coupling coefficient increasing, the spatiotemporal patterns of the neuronal network can be evolved into spiral waves when temperature and noise strength are given, and there is a coupling coefficient threshold for forming a spiral wave. The analysis shows that sodium ion channel noise contributes to the formation of spiral waves in neurons network, while the potassium ion channel noise is not conducive to the formation of spiral waves. In addition, it is found that lower temperature can make the neurons network more sensitive to noise. Finally, the transformation of spiral waves into target waves, in the case of specific parameters is discussed.

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