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Stochastic resonance of a periodically driven neuron under non-Gaussian noise

Author

Listed:
  • Duarte, J.R.R.
  • Vermelho, M.V.D.
  • Lyra, M.L.

Abstract

We investigate the first-passage-time statistics of the integrate–fire neuron model driven by a sub-threshold harmonic signal superposed with a non-Gaussian noise. Here, we considered the noise as the result of a random multiplicative process displaced from the origin by an additive term. Such a mechanism generates a power-law distributed noise whose characteristic decay exponent can be finely tuned. We performed numerical simulations to analyze the influence of the noise non-Gaussian character on the stochastic resonance condition. We found that when the noise deviates from Gaussian statistics, the resonance condition occurs at weaker noise intensities, achieving a minimum at a finite value of the distribution function decay exponent. We discuss the possible relevance of this feature to the efficiency of the firing dynamics of biological neurons, as the present result indicates that neurons would require a lower noise level to detect a sub-threshold signal when its statistics departs from Gaussian.

Suggested Citation

  • Duarte, J.R.R. & Vermelho, M.V.D. & Lyra, M.L., 2008. "Stochastic resonance of a periodically driven neuron under non-Gaussian noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(7), pages 1446-1454.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:7:p:1446-1454
    DOI: 10.1016/j.physa.2007.11.011
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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. Wu, Jian-Li & Duan, Wei-Long & Luo, Yuhui & Yang, Fengzao, 2020. "Time delay and non-Gaussian noise-enhanced stability of foraging colony system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    3. Silva, L.B.M. & Vermelho, M.V.D. & Lyra, M.L. & Viswanathan, G.M., 2009. "Multifractal detrended fluctuation analysis of analog random multiplicative processes," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2806-2811.
    4. Dong, Xiaohui & Wang, Ming & Zhong, Guang-Yan & Yang, Fengzao & Duan, Weilong & Li, Jiang-Cheng & Xiong, Kezhao & Zeng, Chunhua, 2018. "Stochastic delayed kinetics of foraging colony system under non-Gaussian noise," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 1-13.

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