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Bursting Dynamics of Spiking Neural Network Induced by Active Extracellular Medium

Author

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  • Sergey V. Stasenko

    (Moscow Institute of Physics and Technology, 117303 Moscow, Russia
    Neurotechnology Department, Lobachevsky State University of Nizhny Novgorod, 603022 Nizhny Novgorod, Russia)

  • Victor B. Kazantsev

    (Moscow Institute of Physics and Technology, 117303 Moscow, Russia
    Neurotechnology Department, Lobachevsky State University of Nizhny Novgorod, 603022 Nizhny Novgorod, Russia)

Abstract

We propose a mathematical model of a spiking neural network (SNN) that interacts with an active extracellular field formed by the brain extracellular matrix (ECM). The SNN exhibits irregular spiking dynamics induced by a constant noise drive. Following neurobiological facts, neuronal firing leads to the production of the ECM that occupies the extracellular space. In turn, active components of the ECM can modulate neuronal signaling and synaptic transmission, for example, through the effect of so-called synaptic scaling. By simulating the model, we discovered that the ECM-mediated regulation of neuronal activity promotes spike grouping into quasi-synchronous population discharges called population bursts. We investigated how model parameters, particularly the strengths of ECM influence on synaptic transmission, may facilitate SNN bursting and increase the degree of neuronal population synchrony.

Suggested Citation

  • Sergey V. Stasenko & Victor B. Kazantsev, 2023. "Bursting Dynamics of Spiking Neural Network Induced by Active Extracellular Medium," Mathematics, MDPI, vol. 11(9), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2109-:d:1136028
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    References listed on IDEAS

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    1. Victor Kazantsev & Susan Gordleeva & Sergey Stasenko & Alexander Dityatev, 2012. "A Homeostatic Model of Neuronal Firing Governed by Feedback Signals from the Extracellular Matrix," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-12, July.
    2. Rozhnova, Maiya A. & Pankratova, Evgeniya V. & Stasenko, Sergey V. & Kazantsev, Victor B., 2021. "Bifurcation analysis of multistability and oscillation emergence in a model of brain extracellular matrix," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    3. Sergey V. Stasenko & Victor B. Kazantsev, 2023. "Dynamic Image Representation in a Spiking Neural Network Supplied by Astrocytes," Mathematics, MDPI, vol. 11(3), pages 1-17, January.
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    Cited by:

    1. Sergey V. Stasenko & Alexey N. Mikhaylov & Victor B. Kazantsev, 2023. "Control of Network Bursting in a Model Spiking Network Supplied with Memristor—Implemented Plasticity," Mathematics, MDPI, vol. 11(18), pages 1-14, September.

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