Figure 6

The functions describing the dynamics of a spike neuron. (a) The kernel ε _ij (t) describing the response of x _i (t) caused by a pre-synaptic spike at t = 0, with Δ _ax = 50 ms, τ_s = 3.5 ms, and τ _m = 8 ms. (b) The function ψ _i (t) reflecting refractoriness after a spike emitted at t = 0, with δ = 0.1 and τ = 40 ms. (c) The kernel e _i (t) representing the dynamics from local current stimulation to the membrane voltage of a neuron. The time constant is identical to τ _m in (a). (d) The membrane voltage x _i (t) firing at time $t_i^k$ when it reaches a threshold voltage δ = 0.1. After firing, it is reset by the function ψ _i (t) and then re-accumulates via the pre-synaptic spike inputs $w_{ij}{\epsilon }_{ij}\left(t-t_j^k\right).$.