< Back to Article
Interspike interval correlations in neuron models with adaptation and correlated noise
Fig 7
Serial correlation coefficients for the LIF with adaptation-channel noise.
The SCC of adjacent intervals ρ1 (black lines and dots) for our model Eq (2) with identical time constants τη = τa = τc shows non-monotonic behavior with a minimum as a function of τc given that the white noise intensity D is sufficiently large. This is so because the kick amplitude scales with 
. The panels A and B correspond to weak and strong adaptation, respectively. The limiting cases are shown in orange (no adaptation or white noise, Δ = 0, D = 0) and blue (no colored noise, σ = 0, D = 0.1). However, only the limit case of vanishing colored noise can be attained by the full model through varying the white noise intensity. Parameters: (A, B) γ = 1 μ = (5, 20), Δ = (2, 20), σ2 = 0.1. Note that in contrast to the Figs 4–6, the deterministic period T* depends for some of the curves on τc. For the black and blue curves the deterministic period T* ∈ [0.56, 0.67] in A and T* ∈ [0.74, 1.08] in B and increases in both panels with τc. For the orange curve T* = 0.22 in A and T* = 0.05 in B.
doi: https://doi.org/10.1371/journal.pcbi.1009261.g007