Firing rate of the leaky integrate-and-fire neuron with stochastic conductance-based synaptic inputs with short decay times

TL;DR

This paper derives an analytical expression for the firing rate of a leaky integrate-and-fire neuron receiving stochastic conductance-based inputs with short decay times, validated by numerical simulations across realistic parameters.

Contribution

It provides a novel analytical solution for the firing rate under conductance-based inputs with short decay times, enhancing understanding of neuronal response dynamics.

Findings

Analytical expression matches simulations for various parameters

Short decay times significantly influence firing rate

Validation across biophysically realistic conditions

Abstract

We compute the firing rate of a leaky integrate-and-fire (LIF) neuron with stochastic conductance-based inputs in the limit when synaptic decay times are much shorter than the membrane time constant. A comparison of our analytical results to numeric simulations is presented for a range of biophysically-realistic parameters.