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Role of the driving frequency in a randomly perturbed Hodgkin-Huxley neuron with suprathreshold forcing

Author

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  • E. V. Pankratova
  • V. N. Belykh
  • E. Mosekilde

Abstract

The present paper examines the influence of the forcing frequency on the response of a randomly perturbed Hodgkin-Huxley system in the realm of suprathreshold amplitudes. Our results show that, in the presence of noise, the choice of driving frequency can seriously affect the precision of the external information transmission. At the same level of noise the precision can either decrease or increase depending on the driving frequency. We demonstrate that the destructive influence of noise on the interspike interval can be effectively reduced. That is, with driving signals in certain frequency ranges, the system can show stable periodic spiking even for relatively large noise intensities. Here, the most accurate transmission of an external signal occurs. Outside these frequency ranges, noise of the same intensity destroys the regularity of the spike trains by suppressing the generation of some spikes. On the other hand, we show that noise can have a reconstructive role for certain driving frequencies. Here, increasing noise intensity enhances the coherence of the neuronal response. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • E. V. Pankratova & V. N. Belykh & E. Mosekilde, 2006. "Role of the driving frequency in a randomly perturbed Hodgkin-Huxley neuron with suprathreshold forcing," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 53(4), pages 529-536, October.
    • Handle: RePEc:spr:eurphb:v:53:y:2006:i:4:p:529-536
    DOI: 10.1140/epjb/e2006-00401-9
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    Cited by:

    1. Duan, Wei-Long, 2020. "The stability analysis of tumor-immune responses to chemotherapy system driven by Gaussian colored noises," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    2. Yablokov, A.A. & Glushkov, E.I. & Pankratov, A.L. & Gordeeva, A.V. & Kuzmin, L.S. & Il’ichev, E.V., 2021. "Resonant response drives sensitivity of Josephson escape detector," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    3. Cheng, Guanghui & Liu, Weidan & Gui, Rong & Yao, Yuangen, 2020. "Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    4. Yablokov, A.A. & Mylnikov, V.M. & Pankratov, A.L. & Pankratova, E.V. & Gordeeva, A.V., 2020. "Suppression of switching errors in weakly damped Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    5. Ladeynov, D.A. & Egorov, D.G. & Pankratov, A.L., 2023. "Stochastic versus dynamic resonant activation to enhance threshold detector sensitivity," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

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