Figure 4.

Stability of networks of heterogeneous neurons. (A) Examples of the excitatory network mean firing rate in the asynchronous (top) and synchronous (bottom) regimes. (B) Critical external input as a function of the excitatory heterogeneity w_E, for μ₀ = 12 mV and different values of w_I. An external input higher than the critical one will induce spontaneous synchronization in the network. Mean-field predictions (lines) agree with numerical simulations (symbols). (C) Critical external input as a function of w_I, for μ₀ = 12 mV and different values of w_E. (D) Phase diagram in the w_E − w_I space, obtained using the mean-field approach from (B,C), for an external input of 17 mV and different levels of the inhibitory population bias μ₀. For all panels, σ = 1 mV.