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The effect of time delay for synchronisation suppression in neuronal networks

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

Abstract

We study the time delay in the synaptic conductance for suppression of spike synchronisation in a random network of Hodgkin–Huxley neurons coupled by means of chemical synapses. In the first part, we examine in detail how the time delay acts over the network during the synchronised and desynchronised neuronal activities. We observe a relation between the neuronal dynamics and the synaptic conductance distributions. We find parameter values in which the time delay has high effectiveness in promoting the suppression of spike synchronisation. In the second part, we analyse how the delayed neuronal networks react when pulsed inputs with different profiles (periodic, random, and mixed) are applied to the neurons. We show the main parameters responsible for inducing or not synchronous neuronal oscillations in delayed networks.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008694
    DOI: 10.1016/j.chaos.2022.112690
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    References listed on IDEAS

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    1. Borges, F.S. & Protachevicz, P.R. & Pena, R.F.O. & Lameu, E.L. & Higa, G.S.V. & Kihara, A.H. & Matias, F.S. & Antonopoulos, C.G. & de Pasquale, R. & Roque, A.C. & Iarosz, K.C. & Ji, P. & Batista, A.M., 2020. "Self-sustained activity of low firing rate in balanced networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    2. Jamal, Wasifa & Das, Saptarshi & Maharatna, Koushik & Pan, Indranil & Kuyucu, Doga, 2015. "Brain connectivity analysis from EEG signals using stable phase-synchronized states during face perception tasks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 273-295.
    3. 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).
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    Cited by:

    1. Guo, Yitong & Xie, Ying & Ma, Jun, 2023. "Nonlinear responses in a neural network under spatial electromagnetic radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    2. Protachevicz, Paulo Ricardo & Borges, Fernando da Silva & Batista, Antonio Marcos & Baptista, Murilo da Silva & Caldas, Iberê Luiz & Macau, Elbert Einstein Nehrer & Lameu, Ewandson Luiz, 2023. "Plastic neural network with transmission delays promotes equivalence between function and structure," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    3. López, Álvaro G., 2023. "Orbit quantization in a retarded harmonic oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).

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