Leaky integrate and fire models coupled through copulas: association properties of the interspike intervals

Chin J Physiol. 2010 Dec 31;53(6):396-406. doi: 10.4077/cjp.2010.amm028.


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 dynamic is described through a classical Leaky Integrate and Fire model, but the model also catches the joint behavior of two neurons resorting to the use of copulas. Copulas 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.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Action Potentials / physiology*
  • Animals
  • Humans
  • Models, Neurological*
  • Models, Statistical*
  • Models, Theoretical
  • Synapses / physiology