Leaky Integrate and Fire models coupled through copulas: association properties of the Interspikes Intervals

We propose a model able to describe the Interspike Intervals of two or more neurons subject to common inputs from the network. The single neuron dynamics is described through classical Leaky Integrate and Fire model but the model catches also the joint behavior of two neurons.resorting to the use of copulae. These are mathematical objects largely used to describe dependencies laws. Synchronous and delayed dependencies are considered by means of a set of examples. Results are discussed making use of crosscorrelograms.