A, The cartoon represents a pair of coupled neurons on which an equivalent circuit of the key elements that determines strength of coupling was superimposed. The junctional conductance (Gap Junctional Conductance) is represented by a lumped resistance (Rc), whereas the passive properties of coupled cells are represented by a resistor (R1, R2) in parallel with a capacitor, which together determine the input resistance and the time constant of the neuron. B, The steady state coupling coefficient. The strength of electrical synapses can be assessed by the injection of long polarizing current pulses in one of a pair of coupled neurons. Current injection evokes a voltage drop in the presynaptic cell (Pre), which is typically accompanied by a change of the membrane potential in the coupled cell of lower amplitude, slower temporal course and similar polarity. The duration of the current pulses is usually long enough to overcome the initial attenuation of the membrane potential produced by the filtering properties imposed by the passive properties of the postsynaptic membrane, so voltage changes can be measured at “steady state”. The strength of coupling is quantified by calculating the Coupling Coefficient (CC), defined as the ratio between the voltage deflections in the post- and presynaptic cells. As it can be observed, at steady state conditions this coefficient critically depends on the resistance of the postsynaptic cell. C, Constraints imposed by the time constant of the postsynaptic cell. Due to low-pass filtering properties of the coupled neurons, time varying signals are attenuated according to their frequency content. Left, Injection of sine wave current in the presynaptic cell (IPre) evokes a sinusoidal variation of the membrane potential of the presynaptic cell (VPre) that can be recorded as a coupling potential in the postsynaptic cell (VPost). Right, Frequency transfer characteristics determined for pairs of electrically coupled fast-spiking (FS) and low-threshold spiking (LTS) inhibitory interneurons of neocortical layer 4 in the rat. Magnitude of transfer represents the ratio of membrane potential amplitude in the postsynaptic cell over that of the presynaptic cell, during sine wave injections of various frequencies at the presynaptic side, indicates that electrical contacts between pairs of FS and LTS interneurons behaves as low-pass filters. These results indicate that the strength of electrical coupling is stronger for presynaptic signals of lower frequency content. Modified from Gibson et al. (2005) [].