Figure 1
From: Efficient calculation of heterogeneous non-equilibrium statistics in coupled firing-rate models
(A) Schematic of network model. Top: Cells receive background correlated noise \(\xi_{j}(t)=\tilde{\sigma}_{j}\eta_{j}(t)\). Bottom: Network coupling via nonlinear function of activity that we choose to be a sigmoidal function. (B) A network of \(N_{c}=3\) coupled cells with randomly chosen parameters. With fast input \(\mu(t)\) (top-left) relative to the time scale, the actual non-equilibrium statistics (dash curves) are very different from the quasi-steady-state, or QSS (fixed \(\mu(t)\) at time t, solid curves). Upper right shows all three pairs of covariance of firing \(\operatorname {Cov}(\nu _{j},\nu_{k})\) for (\(j\neq k\)); bottom row shows the mean activity \(\mathbb{E}[X_{j}]\) and variance of firing \(\operatorname {Var}(\nu_{j})\). In all Monte Carlo simulations here and throughout the paper, we used 1 million realizations; see Sect. 2.3