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Rhythmogenesis in the mean field model of the neuron–glial network

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Abstract

Despite the fact that the phenomenon of bursting activity is important for functioning of living neural networks, the mechanisms of its origin are still not clear. In this paper, we propose a new phenomenological model that can explain the mechanisms of the formation of bursting activity based on short-term synaptic plasticity, recurrent connections, and neuron–glial interactions. We show that neuron–glial interactions can induce bursting activity. The bifurcation scenarios of emergence of bursting activity are in the focus of the paper. Proposed study is important for understanding the complex dynamics of neural networks.

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Notes

  1. Such transitions occur during the “blue sky catastrophe” bifurcation [35,36,37] and have been considered, incl. in the context of applications in neurodynamics [38].

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Acknowledgements

S. Stasenko (analytical derivation of the extended TM model) thanks Russian Science Foundation grant # 19-72-10128. N. Barabash and T. Levanova (numerical and analytical studies) thank Russian Science Foundation grant # 22-12-00348.

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Authors and Affiliations

  1. Volga State University of Water Transport, 5 Nesterova Street, Nizhny Novgorod, 603950, Russia

    Nikita Barabash

  2. Lobachevsky State University of Nizhny Novgorod, 23 Prospekt Gagarina, Nizhny Novgorod, 603950, Russia

    Nikita Barabash, Tatiana Levanova & Sergey Stasenko

Authors
  1. Nikita Barabash
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  2. Tatiana Levanova
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  3. Sergey Stasenko
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Correspondence to Tatiana Levanova.

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The datasets generated and/or analysed during the current study are available from the corresponding author on reasonable request.

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Barabash, N., Levanova, T. & Stasenko, S. Rhythmogenesis in the mean field model of the neuron–glial network. Eur. Phys. J. Spec. Top. 232, 529–534 (2023). https://doi.org/10.1140/epjs/s11734-023-00778-9

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