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Coherence resonance induced by non-Gaussian noise in a deterministic Hodgkin–Huxley neuron

Author

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  • Gong, Yubing
  • Xie, Yanhang
  • Hao, Yinghang

Abstract

In this paper, we report a novel effect of a particular kind of non-Gaussian noise (NGN), especially its deviation from Gaussian noise, on the spiking activity in a deterministic Hodgkin–Huxley (HH) neuron. It is found via numerical simulations that the coefficient of variation (CV), characterizing the spiking regularity, nonlinearly changes with varying deviation and passes through a minimum at an optimal deviation value, representing the presence of the coherence resonance (CR). This phenomenon shows that, when the NGN is optimal, the neuron can exhibit the most regular firing behavior. This result provides a constructive role of the NGN in the timing precision of information processing and signal transduction in neural systems.

Suggested Citation

  • Gong, Yubing & Xie, Yanhang & Hao, Yinghang, 2009. "Coherence resonance induced by non-Gaussian noise in a deterministic Hodgkin–Huxley neuron," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3759-3764.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:18:p:3759-3764
    DOI: 10.1016/j.physa.2009.05.045
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    Citations

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    Cited by:

    1. Duan, Fabing & Chapeau-Blondeau, François & Abbott, Derek, 2011. "Neural signal transduction aided by noise in multisynaptic excitatory and inhibitory pathways with saturation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(16), pages 2855-2862.
    2. Zhang, Ruiting & Hou, Zhonghuai & Xin, Houwen, 2011. "Effects of non-Gaussian noise near supercritical Hopf bifurcation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 147-153.
    3. Guo, Xinmeng & Wang, Jiang & Liu, Jing & Yu, Haitao & Galán, Roberto F. & Cao, Yibin & Deng, Bin, 2017. "Optimal time scales of input fluctuations for spiking coherence and reliability in stochastic Hodgkin–Huxley neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 381-390.
    4. 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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