

Preprint 14/2022
Self-organized criticality in a mesoscopic model of excitatory-inhibitory neuronal populations by short-term and long-term synaptic plasticity
Jürgen Jost and Masud Ehsani
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Submission date: 04. Apr. 2022 (revised version: April 2022)
Pages: 39
Bibtex
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Link to arXiv: See the arXiv entry of this preprint.
Abstract:
In Ehsani and Jost (2022), we have shown that the dynamics of an
interconnected population of
excitatory and inhibitory spiking neurons wandering around a Bogdanov-Takens (BT)
bifurcation point can generate the
observed scale-free avalanches at the population level and the highly variable
spike patterns of individual neurons. These characteristics match
experimental findings for spontaneous intrinsic activity in the brain. In this paper, we address the
mechanisms causing the system to get and remain near this BT point.
We propose an effective stochastic neural field model which captures the
dynamics of the mean-field model. We show how the network tunes itself
through local long-term synaptic plasticity by STDP and short-term synaptic
depression to be close to this bifurcation point. The mesoscopic model that we derive matches the directed percolation model at the absorbing state phase transition.