Leaky Integrate-and-Fire Neuron under Poisson Stimulation

TL;DR

This paper presents a novel method for calculating the first passage time probability density function of a Leaky integrate-and-fire neuron under Poisson stimulation without approximations.

Contribution

A new exact analytical approach for first passage time distribution in Leaky integrate-and-fire neurons subjected to Poisson input.

Findings

Exact first passage time density obtained

Method applicable without additional approximations

Enhances understanding of neuron response to stochastic inputs

Abstract

We consider a single Leaky integrate-and-fire neuron stimulated with Poisson process. We develop a method, which allows one to obtain the first passage time probability density function without any additional approximations.