Fig. 5

Simulations of a one-dimensional spiking neural field model with an \(I_{\text{h}}\) current solved on a spatial grid of 5000 points. Left: simulations of the model with the full nonlinear dynamics for \(I_{\text{h}}\). Right: simulations of the model with the reduced pwl dynamics for \(I_{\text{h}}\) given by (10). Here we show the voltage traces at an illustrative set of locations throughout the system as a function of time. Note that each single spike is mediated by rebound in response to inhibitory synaptic input. Parameters are as in Fig. 2 with \(\beta=0.5\), \(V_{\text{th}} = 14\mbox{ mV}\). The activity propagates from bottom to top after an initial hyperpolarisation current of \(-30\mbox{ mV}\) is given to a set of neurons (in yellow) from \(t=1000\mbox{ ms}\) to \(t=1250\mbox{ ms}\)