Direct connections assist neurons to detect correlation in small amplitude noises

We address a question on the effect of common stochastic inputs on the correlation of the spike trains of two neurons when they are coupled through direct connections. We show that the change in the correlation of small amplitude stochastic inputs can be better detected when the neurons are connected by direct excitatory couplings. Depending on whether intrinsic firing rate of the neurons is identical or slightly different, symmetric or by changing the mean slope of the correlation transfer function over a given range of input correlation. In either case, there is also an optimum value of synaptic strength which maximizes the sensitivity of the system to the changes in input correlation.