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A Homeostatic Model of Neuronal Firing Governed by Feedback Signals from the Extracellular Matrix

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  • Victor Kazantsev
  • Susan Gordleeva
  • Sergey Stasenko
  • Alexander Dityatev

Abstract

Molecules of the extracellular matrix (ECM) can modulate the efficacy of synaptic transmission and neuronal excitability. These mechanisms are crucial for the homeostatic regulation of neuronal firing over extended timescales. In this study, we introduce a simple mathematical model of neuronal spiking balanced by the influence of the ECM. We consider a neuron receiving random synaptic input in the form of Poisson spike trains and the ECM, which is modeled by a phenomenological variable involved in two feedback mechanisms. One feedback mechanism scales the values of the input synaptic conductance to compensate for changes in firing rate. The second feedback accounts for slow fluctuations of the excitation threshold and depends on the ECM concentration. We show that the ECM-mediated feedback acts as a robust mechanism to provide a homeostatic adjustment of the average firing rate. Interestingly, the activation of feedback mechanisms may lead to a bistability in which two different stable levels of average firing rates can coexist in a spiking network. We discuss the mechanisms of the bistability and how they may be related to memory function.

Suggested Citation

  • 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.
    • Handle: RePEc:plo:pone00:0041646
    DOI: 10.1371/journal.pone.0041646
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    Cited by:

    1. 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.
    2. Zonglun Li & Yuliya Tsybina & Susanna Gordleeva & Alexey Zaikin, 2022. "Impact of Astrocytic Coverage of Synapses on the Short-Term Memory of a Computational Neuron-Astrocyte Network," Mathematics, MDPI, vol. 10(18), pages 1-20, September.
    3. 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).

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