Model of the appearance of avalanche bioelectric discharges in neural networks of the brain

According to neurobiological experiments, the effect of the appearance of spontaneous bioelectric discharges in neural networks of the brain satisfies the statistics of self-organized criticality. Theoretical investigations indicate that the critical behavior is an optimal regime for the storage and processing of information in the brain. Many model works focused on the approximation of the experimental data and on the investigation of information characteristics of signals, whereas the problem of dynamical mechanisms of their avalanche generation remains almost unstudied. The conditions of the appearance of high-frequency discharges at the critical dynamical threshold have been analyzed in the framework of the biophysical model of the neuronal network. A probabilistic model of the layer-by-layer activation of cells, which makes it possible to estimate the key relations between the parameters for avalanche generation of the discharge, has been proposed.