Topic: population firing rate

Mean-field models of neuronal populations in the brain have proven extremely useful to understand network dynamics and response to stimuli, but these models generally lack a faithful description of the fluctuations in the biologically relevant case of finite network size and connection probabilities $p<1$ (non-full connectivity). To gain insight into the mechanisms underlying the response and variability of the dynamics of populations of spiking neurons, we derive here a nonlinear stochastic mean-field model for a network of spiking Poisson neurons with quenched random connectivity. We treat