Noise-induced phase transitions in neuronal networks
Biological Physics
2015-08-26 v1 Disordered Systems and Neural Networks
Statistical Mechanics
Neurons and Cognition
Abstract
Using an exactly solvable cortical model of a neuronal network, we show that, by increasing the intensity of shot noise (flow of random spikes bombarding neurons), the network undergoes first- and second-order non-equilibrium phase transitions. We study the nature of the transitions, bursts and avalanches of neuronal activity. Saddle-node and supercritical Hopf bifurcations are the mechanisms of emergence of sustained network oscillations. We show that the network stimulated by shot noise behaves similar to the Morris-Lecar model of a biological neuron stimulated by an applied current.
Keywords
Cite
@article{arxiv.1304.3237,
title = {Noise-induced phase transitions in neuronal networks},
author = {K. -E. Lee and M. A. Lopes and A. V. Goltsev},
journal= {arXiv preprint arXiv:1304.3237},
year = {2015}
}