Dynamical synapses causing self-organized criticality in neural networks

Details Dynamical synapses causing self-organized criticality in neural networks Dynamical synapses causing self-organized criticality in neural networks

2007-12-06

arxiv.org/abs/0712.1003v1

A. Levina, J. M. Herrmann, T. Geisel. Dynamical synapses causing self-organized criticality in neural networks, Nature Phys. 3

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4 figures

Scientific paper

10.1038/nphys758

We show that a network of spiking neurons exhibits robust self-organized criticality if the synaptic efficacies follow realistic dynamics. Deriving analytical expressions for the average coupling strengths and inter-spike intervals, we demonstrate that networks with dynamical synapses exhibit critical avalanche dynamics for a wide range of interaction parameters. We prove that in the thermodynamical limit the network becomes critical for all large enough coupling parameters. We thereby explain experimental observations in which cortical neurons show avalanche activity with the total intensity of firing events being distributed as a power-law.

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