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Effects of bounded noise and time delay on signal transmission in excitable neural networks

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  • Yu, Dong
  • Wang, Guowei
  • Ding, Qianming
  • Li, Tianyu
  • Jia, Ya

Abstract

The influence of bounded noise and time delay on the sub–threshold signal transmission in FitzHugh–Nagumo neuronal networks is studied in this paper. It is found that the signal transmission performance can be enhanced by moderate noise levels in neuronal systems. There is an optimal cross–correlation time where the noise enhances signal transmission best. Moreover, the positively correlated bounded noise–induced stochastic anti–resonance phenomenon monotonically enhances with the increasing cross–correlated intensity. Interestingly, the stochastic anti–resonance phenomenon disappears when the noise is negatively correlated. With the fine–tuning of the time delay, the resonance peaks occur at each half–integer multiples of the signal period, implying delay–induced multiple stochastic resonances. The sub–harmonic stochastic resonance and stochastic anti–resonance alternatively appear at the appropriate coupling strength. These results may provide a novel perspective on sub–threshold signal transmission in the nervous system.

Suggested Citation

  • Yu, Dong & Wang, Guowei & Ding, Qianming & Li, Tianyu & Jia, Ya, 2022. "Effects of bounded noise and time delay on signal transmission in excitable neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001394
    DOI: 10.1016/j.chaos.2022.111929
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    1. Jacopo Bono & Claudia Clopath, 2017. "Modeling somatic and dendritic spike mediated plasticity at the single neuron and network level," Nature Communications, Nature, vol. 8(1), pages 1-17, December.
    2. Yu, Dong & Lu, Lulu & Wang, Guowei & Yang, Lijian & Jia, Ya, 2021. "Synchronization mode transition induced by bounded noise in multiple time-delays coupled FitzHugh–Nagumo model," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    3. Wang, Guowei & Yu, Dong & Ding, Qianming & Li, Tianyu & Jia, Ya, 2021. "Effects of electric field on multiple vibrational resonances in Hindmarsh-Rose neuronal systems," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    4. Anatoly Buchin & Sarah Rieubland & Michael Häusser & Boris S Gutkin & Arnd Roth, 2016. "Inverse Stochastic Resonance in Cerebellar Purkinje Cells," PLOS Computational Biology, Public Library of Science, vol. 12(8), pages 1-31, August.
    5. Bobryk, Roman V. & Chrzeszczyk, Andrzej, 2005. "Transitions induced by bounded noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 358(2), pages 263-272.
    6. Ying Xu & Ya Jia & John Billy Kirunda & Jian Shen & Mengyan Ge & Lulu Lu & Qiming Pei, 2018. "Dynamic Behaviors in Coupled Neuron System with the Excitatory and Inhibitory Autapse under Electromagnetic Induction," Complexity, Hindawi, vol. 2018, pages 1-13, July.
    7. David F. Russell & Lon A. Wilkens & Frank Moss, 1999. "Use of behavioural stochastic resonance by paddle fish for feeding," Nature, Nature, vol. 402(6759), pages 291-294, November.
    8. Mingshan Xue & Bassam V. Atallah & Massimo Scanziani, 2014. "Equalizing excitation–inhibition ratios across visual cortical neurons," Nature, Nature, vol. 511(7511), pages 596-600, July.
    9. Ge, Mengyan & Jia, Ya & Xu, Ying & Lu, Lulu & Wang, Huiwen & Zhao, Yunjie, 2019. "Wave propagation and synchronization induced by chemical autapse in chain Hindmarsh–Rose neural network," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 136-145.
    10. Liu, Pei & Ning, Li Juan, 2016. "Transitions induced by cross-correlated bounded noises and time delay in a genotype selection model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 32-39.
    11. Fuentes, M.A. & Toral, Raúl & Wio, Horacio S., 2001. "Enhancement of stochastic resonance: the role of non Gaussian noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 114-122.
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