Interspike interval correlations in neuron models with adaptation and correlated noise
Fig 6
First serial correlation coefficient of the GIF model with respect to the correlated noise time constant τη.
Panel A shows the SCC for an adaptive GIF with parameters similar to those in Fig 5C. In panel B we consider a GIF model without adaptation and parameters chosen so that the PRCs in A and B qualitatively agree. The SCC at lag k = 1 can exhibit non-monotonic behavior with respect to the time constant τη due to the partially negative PRC. The PRC is shown in the upper left inset and is in both cases found to be negative until τ ≈ T*/2. If the correlation time matches this proportion of the ISI the SCC is significantly decreased compared to the case of short correlation times. For τη ≫ T* adjacent ISIs are positively correlated as they are similarly affected by the slow varying noise. Parameters (A, B): γ = −1, μ = 1, βw = 5, τw = (1.1, 1.1), wR = (0, 1), τa = (1, 0), Δ = (2.3, 0), σ2 = 10−3, D = 0 and resulting T* = (1.91, 1.76).