Figure 4

Simulations for an isolated cell and a 1000 cell network of excitatory intrinsically bursting neurons. Top: membrane potential of isolated Izhikevich neuron with average parameters showing the original spiking neuron (blue) and the approximation by the reduced model (red). A random network of 1000 such spiking neurons is created, of which spike trains of 50 neurons are depicted in the raster plot (middle). Bottom diagram depicts the convoluted spike trains of all neurons in the network (blue), c.f. Section ‘Comparison’. The synaptic variable S of the corresponding lumped model of this network is also shown (red). Neuron parameters: a ∼ N (0.02,0.001), b ∼ N (0.2,0.01), c ∼ N (− 55,1), d ∼ N (2,0.1), κ = 0.8, f_min = 0.2, and I_ext ∼ N (6,0.2). Network parameters: α = 10^{− 1}, $\bar{g}=0.002$, E_syn = 0, p_con = 0.03, and w₀ = 1.