Interspike interval correlations in neuron models with adaptation and correlated noise
Fig 8
Serial correlation coefficients for the LIF with network-noise-like fluctuations.
Panel A shows the input power spectrum Sin with reduced power at low frequencies of a random process that is applied to a LIF model. The resulting SCC ρ1 for no adaptation (upper line) and weak adaptation (lower line) are displayed in panel B. The coefficient ρ1 has a minimum because for both long and short correlation times the noise becomes essentially white. The pattern of interval correlations are shown in C for no and D for weak adaptation. Even in the absence of an adaptation current the network-noise can generate negative ISI correlations. This is due to the lack of power at low frequency. For an adaptive LIF model negative correlations are enhanced. Parameters (C, D): γ = 1, μ = 5, τa = (0, 2), Δ = (0, 2), D = 0.18, τησ2 = 4.5 ⋅ 10−2 and resulting T* = (0.22, 0.67).