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Optimal time scales of input fluctuations for spiking coherence and reliability in stochastic Hodgkin–Huxley neurons

Author

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  • Guo, Xinmeng
  • Wang, Jiang
  • Liu, Jing
  • Yu, Haitao
  • Galán, Roberto F.
  • Cao, Yibin
  • Deng, Bin

Abstract

Channel noise, which is generated by the random transitions of ion channels between open and closed states, is distinguished from external sources of physiological variability such as spontaneous synaptic release and stimulus fluctuations. This inherent stochasticity in ion-channel current can lead to variability of the timing of spikes occurring both spontaneously and in response to stimuli. In this paper, we investigate how intrinsic channel noise affects the response of stochastic Hodgkin–Huxley (HH) neuron to external fluctuating inputs with different amplitudes and correlation time. It is found that there is an optimal correlation time of input fluctuations for the maximal spiking coherence, where the input current has a fluctuating rate approximately matching the inherent oscillation of stochastic HH model and plays a dominating role in the timing of spike firing. We also show that the reliability of spike timing in the model is very sensitive to the properties of the current input. An optimal time scale of input fluctuations exists to induce the most reliable firing. The channel-noise-induced unreliability can be mostly overridden by injecting a fluctuating current with an appropriate correlation time. The spiking coherence and reliability can also be regulated by the size of channel stochasticity. As the membrane area (or total channel number) of the neuron increases, the spiking coherence decreases but the spiking reliability increases.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:468:y:2017:i:c:p:381-390
    DOI: 10.1016/j.physa.2016.10.087
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    References listed on IDEAS

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    1. X. J. Sun & J. Z. Lei & M. Perc & Q. S. Lu & S. J. Lv, 2011. "Effects of channel noise on firing coherence of small-world Hodgkin-Huxley neuronal networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 79(1), pages 61-66, January.
    2. Perc, Matjaž, 2007. "Effects of small-world connectivity on noise-induced temporal and spatial order in neural media," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 280-291.
    3. 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.
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