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Short Term Synaptic Depression Imposes a Frequency Dependent Filter on Synaptic Information Transfer

Figure 3

Synaptic filtering of a single Poisson presynaptic spike train.

(A)–(B) The low-pass filter, , and the high-pass filter, , are multiplied with the presynaptic rate (cf. Eq. (2)) to determine the band-pass cross-spectrum, , between a Poisson presynaptic spike train, , and postsynaptic conductance, . The cross-spectrum is identical for the stochastic (solid blue) and deterministic (dashed red) models. (C)–(D) The power spectrum, , of the conductance is larger for the stochastic model than the deterministic model due to the additive terms, and , that quantify the increase in variability due to stochastic vesicle release and recovery (see Eq. (3)). For this and all subsequent figures, solid blue lines and dashed red lines show plots obtained from closed form expressions for the stochastic and deterministic models, respectively. Light blue and light red lines indicate simulations of the stochastic and deterministic models, respectively.

doi: https://doi.org/10.1371/journal.pcbi.1002557.g003