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Autapse-induced multiple inverse stochastic resonance in a neural system

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  • Ni Zhang

    (Taiyuan University of Technology)

  • Dongxi Li

    (Taiyuan University of Technology)

  • Yanya Xing

    (Taiyuan University of Technology)

Abstract

We mainly investigate the multiple inverse stochastic resonance (ISR) induced by electrical autapse and chemical autapse under different types of input current. It is found that average firing rate is shown as a decaying oscillation process with time delay for both electrical autapse and chemical autapse under noise and input current. Furthermore, we find that average firing rate has several minimums as a function of time delay of autapse, which is called multiple ISR. As a consequence, our work suggests that, autapse can regulate and control the neuronal activities and induce multiple ISR. Compared with signal current, the multiple ISR phenomenon driven by constant current is more apparent. Graphic abstract

Suggested Citation

  • Ni Zhang & Dongxi Li & Yanya Xing, 2021. "Autapse-induced multiple inverse stochastic resonance in a neural system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(1), pages 1-11, January.
    • Handle: RePEc:spr:eurphb:v:94:y:2021:i:1:d:10.1140_epjb_s10051-020-00008-4
    DOI: 10.1140/epjb/s10051-020-00008-4
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    References listed on IDEAS

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    1. Uzun, Rukiye & Yilmaz, Ergin & Ozer, Mahmut, 2017. "Effects of autapse and ion channel block on the collective firing activity of Newman–Watts small-world neuronal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 386-396.
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    4. Yilmaz, Ergin & Ozer, Mahmut, 2015. "Delayed feedback and detection of weak periodic signals in a stochastic Hodgkin–Huxley neuron," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 455-462.
    5. 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.
    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. Uzun, Rukiye, 2017. "Influences of autapse and channel blockage on multiple coherence resonance in a single neuron," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 203-210.
    8. Wang, Hengtong & Chen, Yong, 2016. "Response of autaptic Hodgkin–Huxley neuron with noise to subthreshold sinusoidal signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 321-329.
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    1. Wang, Guowei & Wu, Yong & Xiao, Fangli & Ye, Zhiqiu & Jia, Ya, 2022. "Non-Gaussian noise and autapse-induced inverse stochastic resonance in bistable Izhikevich neural system under electromagnetic induction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).

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