Figure 3.

Proportion of false spikes generated in the single neuron simulation by the iterative time-driven implementation with respect to the spike train generated by the envelope method as a function of the mean and standard deviation of the free membrane potential. Spike trains are generated with I_x = 0 pA and ν_ext = 18.17 kHz and the error is averaged over 50 trials of 10,000 s. Values capped at 1 × 10⁻⁴ to preserve visual clarity for lower values. (A) Simulation using a time step h = 1 ms. White contour lines indicate total input rates of 20, 30, and 50 kHz. (B) As in (A) but for h = 0.125 ms. Black contour lines indicate resulting output firing rates of 1, 10, and 40 Hz. Points A and B are chosen for more detailed analysis in Figure 4, point C indicates the statistics of the membrane potential in our standard network simulations as described in Section 2.3.2. Dashed vertical lines separate the region where the mean membrane potential is subthreshold from the region where it is superthreshold. In the white areas no measurement could be made due to extremely low or zero output rate.