Noise-induced phase transitions in neuronal networks

K. -E. Lee; M. A. Lopes; A. V. Goltsev

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arXiv · 1304.3237

Noise-induced phase transitions in neuronal networks

K. -E. Lee·M. A. Lopes·A. V. Goltsev

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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.

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physics.bio-ph cond-mat.dis-nn cond-mat.stat-mech q-bio.NC

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K. -E. Lee, M. A. Lopes, A. V. Goltsev. 2013-04-11. Noise-induced phase transitions in neuronal networks. https://arxiv.org/abs/1304.3237

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