Interspike interval correlations in neuron models with adaptation and correlated noise
Fig 3
General correlation coefficient ρk of the adaptive LIF model subject to white and colored noise.
The specific SCCs ρk,a and ρk,η are obtained by considering one correlation inducing process at a time, i.e. adaptation and white noise or colored and white noise, respectively. Two qualitatively different cases are displayed distinguished by i) the base pattern exhibited by ρk,a that is exponentially decaying in A and oscillatory in B and ii) the sign of the first (k = 1) and every subsequent (k ≥ 1) SCC. For example consider A where ρ1 > 0 and ρk < 0 for k > 0. The inverse case is shown in B, i.e. negative correlations at lag 1 and positive ISI correlation for every subsequent lag. Such patterns have been reported in cats peripheral auditory fibers and the weakly electric fish electroreceptors [50, 51] and can not be explained by adaptation or colored noise alone. Note that the SCC of the full model is not bound by the specific SCCs. Parameters (A, B): γ = 1, μ = (5, 20), τa = (2, 1), Δ = (2, 10), τη = (0.5, 5), σ2 = 2 ⋅ 10−2, D = 10−3.