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Lévy noise improves the electrical activity in a neuron under electromagnetic radiation

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  • Juan Wu
  • Yong Xu
  • Jun Ma

Abstract

As the fluctuations of the internal bioelectricity of nervous system is various and complex, the external electromagnetic radiation induced by magnet flux on membrane can be described by the non-Gaussian type distribution of Lévy noise. Thus, the electrical activities in an improved Hindmarsh-Rose model excited by the external electromagnetic radiation of Lévy noise are investigated and some interesting modes of the electrical activities are exhibited. The external electromagnetic radiation of Lévy noise leads to the mode transition of the electrical activities and spatial phase, such as from the rest state to the firing state, from the spiking state to the spiking state with more spikes, and from the spiking state to the bursting state. Then the time points of the firing state versus Lévy noise intensity are depicted. The increasing of Lévy noise intensity heightens the neuron firing. Also the stationary probability distribution functions of the membrane potential of the neuron induced by the external electromagnetic radiation of Lévy noise with different intensity, stability index and skewness papremeters are analyzed. Moreover, through the positive largest Lyapunov exponent, the parameter regions of chaotic electrical mode of the neuron induced by the external electromagnetic radiation of Lévy noise distribution are detected.

Suggested Citation

  • Juan Wu & Yong Xu & Jun Ma, 2017. "Lévy noise improves the electrical activity in a neuron under electromagnetic radiation," PLOS ONE, Public Library of Science, vol. 12(3), pages 1-13, March.
    • Handle: RePEc:plo:pone00:0174330
    DOI: 10.1371/journal.pone.0174330
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    Citations

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    Cited by:

    1. Wu, Juan & Xu, Yong & Ma, Shaojuan, 2019. "Realizing the transformation of logic gates in a genetic toggle system under Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 171-179.
    2. Li, Jiajia & Zhang, Xuan & Du, Mengmeng & Wu, Ying, 2022. "Switching behavior of the gamma power in the neuronal network modulated by the astrocytes," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    3. Gao, Chenghua & Qiao, Shuai & An, Xinlei, 2022. "Global multistability and mechanisms of a memristive autapse-based Filippov Hindmash-Rose neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    4. Sun, Yahui & Hong, Ling & Jiang, Jun, 2017. "Stochastic sensitivity analysis of nonautonomous nonlinear systems subjected to Poisson white noise," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 508-515.
    5. Xu, Ying & Jia, Ya & Ma, Jun & Alsaedi, Ahmed & Ahmad, Bashir, 2017. "Synchronization between neurons coupled by memristor," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 435-442.
    6. An, Xinlei & Qiao, Shuai, 2021. "The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    7. Zhang, Ge & Wang, Chunni & Alzahrani, Faris & Wu, Fuqiang & An, Xinlei, 2018. "Investigation of dynamical behaviors of neurons driven by memristive synapse," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 15-24.
    8. Korneev, Ivan & Zakharova, Anna & Semenov, Vladimir V., 2024. "Lévy noise-induced coherence resonance: Numerical study versus experiment," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    9. Ma, Jun & Wang, Ya & Wang, Chunni & Xu, Ying & Ren, Guodong, 2017. "Mode selection in electrical activities of myocardial cell exposed to electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 219-225.
    10. Song, Yi & Xu, Wei, 2021. "Asymmetric Lévy noise changed stability in a gene transcriptional regulatory system," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    11. Kafraj, Mohadeseh Shafiei & Parastesh, Fatemeh & Jafari, Sajad, 2020. "Firing patterns of an improved Izhikevich neuron model under the effect of electromagnetic induction and noise," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).

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