Fig. 1.

The framework to study the impact of a specified presynaptic neuron on postsynaptic spiking activity. a The effect of specified presynaptic neuron is separated from the noisy background input, which is produced by the rest of presynaptic neurons. b A schematic view of the signaling input activity and its effect on the membrane potential and spiking of the postsynaptic neuron. c Postsynaptic membrane potential versus time, Top-left: There can be different trajectories, due to the noise. Any trajectory, if not reached the threshold before signaling input arrival at t^∗, shows a sharp increase during t^∗to t^∗ + Δt time window. Top-right: For the particular case of $Ī=V_{𝜃}$, we can use the image method. The membrane potential trajectory and its mirror image coincide at $V=Ī$ line. This can help to fulfill the thresholding criteria if it is the same line of V = V_𝜃. Bottom: It shows the membrane potential trajectory of the postsynaptic neuron. When the voltage reaches to V_𝜃, the neuron fires and the voltage resets to 0. Here we particularly consider the first spike after t = 0