Fig. 7

Spike counts for the theta model (22). The red curve denotes the number of spikes estimated from equations (25), (26), while the blue lines show numbers of spikes observed in direct simulations of the theta model with $G=100$ and (a) $b=-5$, $\beta =0.2$; (b) $b=-20$, $\beta =0.1$. For the simulations, an initial kick of size $G_i$ was given. If $G_i\ge -2b$, then the trajectory was allowed to decay until $g\approx -2b-\delta (-2b)$ and then the remaining input was expended on kicks of size $\delta (-2b)$. If $G_i<-2b$, then after an initial spike was fired, the remaining input was expended on kicks of size $\delta (G_i)$. These same strategies were assumed for the analytical estimation.