Response Analysis of Neuronal Population with Synaptic Depression

In this paper, we aim at analyzing the characteristic of neuronal population responses to instantaneous or time-dependent inputs and the role of synapses in neural information processing. We have derived an evolution equation of the membrane potential density function with synaptic depression, and obtain the formulas for analytic computing the response of instantaneous re rate. Through a technical analysis, we arrive at several signicant conclusions: The background inputs play an important role in information processing and act as a switch betwee temporal integration and coincidence detection.