Output stream of leaky integrate and fire neuron

TL;DR

This paper derives an exact probability density function for the output interspike intervals of a leaky integrate-and-fire neuron driven by a Poisson input stream, avoiding the common diffusion approximation.

Contribution

It provides an exact analytical expression for interspike interval distribution in leaky integrate-and-fire neurons under Poisson stimulation, enhancing theoretical understanding.

Findings

Exact interspike interval distribution derived

Diffusion approximation not used

Improves neuron firing model accuracy

Abstract

Probability density function of output interspike intervals is found in exact form for leaky integrate and fire neuron stimulated with Poisson stream. The diffusion approximation is not exploited.