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Dynamics of uncoupled and coupled neurons under an external pulsed current

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  • Hansen, Matheus
  • Protachevicz, Paulo R.
  • Iarosz, Kelly C.
  • Caldas, Iberê L.
  • Batista, Antonio M.
  • Macau, Elbert E.N.

Abstract

The neuron dynamics is highly susceptible to variations in its current input. In this work, we study the dynamics of uncoupled and random coupled Hodgkin Huxley neurons under an external current with constant or pulsed amplitude. The profile of these pulse perturbations are considered as periodic, random, and a mix between these two types. For uncoupled and coupled neurons submitted to a constant input current, we observe neuronal silence, spike, and coexistence between these two regimes, as well as spike synchronisation. However, when periodic pulse perturbations are introduced, the neuronal activities depend on the pulse parameters, as the amplitude and duration values. For random pulsed inputs, the complexity is greater, once such perturbation may induce the appearance of uncertainty in the neuronal dynamics. Furthermore, our simulations suggest that small time windows, in which the random pulses are embedded in a sequence of periodic pulses, are already enough to bring uncertainty in the neuronal activities. In such a scenario, the excitatory couplings can reduce these uncertainties around the behaviour developed by the neurons.

Suggested Citation

  • Hansen, Matheus & Protachevicz, Paulo R. & Iarosz, Kelly C. & Caldas, Iberê L. & Batista, Antonio M. & Macau, Elbert E.N., 2022. "Dynamics of uncoupled and coupled neurons under an external pulsed current," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921010882
    DOI: 10.1016/j.chaos.2021.111734
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    References listed on IDEAS

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    1. Coninck, José C.P. & Ferrari, Fabiano A.S. & Reis, Adriane S. & Iarosz, Kelly C. & Caldas, Iberê L. & Batista, Antonio M. & Viana, Ricardo L., 2020. "Network properties of healthy and Alzheimer brains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    2. Gabriel Kreiman & Christof Koch & Itzhak Fried, 2000. "Imagery neurons in the human brain," Nature, Nature, vol. 408(6810), pages 357-361, November.
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    Cited by:

    1. Li, Xuening & Xie, Ying & Ye, Zhiqiu & Huang, Weifang & Yang, Lijian & Zhan, Xuan & Jia, Ya, 2024. "Chimera-like state in the bistable excitatory-inhibitory cortical neuronal network," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    2. Hansen, Matheus & Protachevicz, Paulo R. & Iarosz, Kelly C. & Caldas, Iberê L. & Batista, Antonio M. & Macau, Elbert E.N., 2022. "The effect of time delay for synchronisation suppression in neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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