The brain, as a complex dynamic system, and some brain activities show power-law behavior patterns. Neuronal avalanches are considered experimental research examples which illustrate the criticality also power-law behavior in the brain. In this study, the Gaussian noise is added and the Ito’s interoperation is used to solve numerically stochastic equation of leaky integrate and fire model and using and regular lattice in a different size is used to successfully shed light into cooperation-induced criticality in a neural system and establishes a connection between criticality and neural avalanches. In addition, the fractal analysis of fires series is considered to confirm the criticality as well as Mittag-lefler function and the discussion of 20 percent of neurons should be inhibitory in brain network.
