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Channel noise and synchronization in excitable membranes

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  • Schmid, Gerhard
  • Goychuk, Igor
  • Hänggi, Peter

Abstract

Using a stochastic generalization of the Hodgkin–Huxley model, we consider the influence of intrinsic channel noise on the synchronization between the spiking activity of the excitable membrane and an externally applied periodic signal. For small patches, i.e., when the channel noise dominates the excitable dynamics, we find the phenomenon of intrinsic coherence resonance. In this case, the relatively regular spiking behavior is practically independent of the applied external driving; therefore no synchronization occurs. Synchronization takes place, however, only for sufficiently large ion channel assemblies. The neuronal signal processing is thus likely rooted in the collective properties of optimally large assemblies of ion channels.

Suggested Citation

  • Schmid, Gerhard & Goychuk, Igor & Hänggi, Peter, 2003. "Channel noise and synchronization in excitable membranes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 165-175.
    • Handle: RePEc:eee:phsmap:v:325:y:2003:i:1:p:165-175
    DOI: 10.1016/S0378-4371(03)00195-X
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    Cited by:

    1. Ginzburg, S.L. & Pustovoit, M.A., 2006. "Response of Hodgkin–Huxley stochastic bursting neuron to single-pulse stimulus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 354-368.
    2. Yu, Haitao & Galán, Roberto F. & Wang, Jiang & Cao, Yibin & Liu, Jing, 2017. "Stochastic resonance, coherence resonance, and spike timing reliability of Hodgkin–Huxley neurons with ion-channel noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 263-275.

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