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Autapse-induced multiple inverse stochastic resonance in a neural system

  • Regular Article - Statistical and Nonlinear Physics
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data sharing is not applicable to this article as no new data were created or analyzed in this study.]

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11571009), and Applied Basic Research Programs of Shanxi Province (Grant No. 201901D111086).

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Authors and Affiliations

  1. College of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, China

    Ni Zhang & Yanya Xing

  2. College of Data Science, Taiyuan University of Technology, Taiyuan, 030024, China

    Dongxi Li

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  1. Ni Zhang
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  2. Dongxi Li
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Contributions

DL conceived and designed the paper. YX analyzed and performed the calculation. DL wrote the main manuscript text, and NZ revised and improved the manuscript. All authors reviewed the manuscript.

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Correspondence to Dongxi Li.

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Zhang, N., Li, D. & Xing, Y. Autapse-induced multiple inverse stochastic resonance in a neural system. Eur. Phys. J. B 94, 1 (2021). https://doi.org/10.1140/epjb/s10051-020-00008-4

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