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Diffusion entropy approach to complexity for a Hodgkin–Huxley neuron

Author

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  • Yang, Huijie
  • Zhao, Fangcui
  • Zhang, Wei
  • Li, Zhongnan

Abstract

By means of the diffusion entropy method (DE) we analyze the responses of a Hodgkin–Huxley (HH) neuron to two types of spike-train inputs. The stimuli can create a living state matter (LSM), an intermediate condition between dynamics and thermodynamics. An anomalous scaling can also be found, which is corresponding to the thermodynamic condition. The living state matter (LSM) regresses slowly to the anomalous scaling with almost an exact period. The anomalous scaling exponent and the period may be two measures of the dynamical process of a HH neuron under the considered stimuli.

Suggested Citation

  • Yang, Huijie & Zhao, Fangcui & Zhang, Wei & Li, Zhongnan, 2005. "Diffusion entropy approach to complexity for a Hodgkin–Huxley neuron," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 347(C), pages 704-710.
    • Handle: RePEc:eee:phsmap:v:347:y:2005:i:c:p:704-710
    DOI: 10.1016/j.physa.2004.08.017
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    Cited by:

    1. Yue Yang & Changgui Gu & Qin Xiao & Huijie Yang, 2017. "Evolution of scaling behaviors embedded in sentence series from A Story of the Stone," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-14, February.
    2. Xue Pan & Lei Hou & Mutua Stephen & Huijie Yang & Chenping Zhu, 2014. "Evaluation of Scaling Invariance Embedded in Short Time Series," PLOS ONE, Public Library of Science, vol. 9(12), pages 1-27, December.

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