Illustrating <b>Eq. (4)</b>.

<p>(<b>A</b>) The input to the post-synaptic cell is a fixed spike train which is convolved with a synaptic kernel. (<b>B</b>) A sample voltage path for the post-synaptic cell receiving the input shown in A) in the presence of background noise. (<b>C</b>) Raster plot of 100 realizations of output spike trains of the post-synaptic cell. (<b>D</b>) The output firing rate, , obtained by averaging over realizations of the output spike trains in C). The rate obtained using Monte Carlo simulations (shaded in gray) matches predictions of linear response theory obtained using Eq. (4) (black).