# Numerical Frequency Transfer Function Analysis of a Leaky Integrate-and-Fire Neuron

## TL;DR

This paper introduces a transfer function approach to analyze single neuron behavior using the leaky integrate-and-fire model, revealing linearity and parameter regions with sharper transfer functions to aid simulations and model validation.

## Contribution

It presents a novel numerical method to characterize neuronal transfer functions, highlighting linearity and specific parameter regions in the leaky integrate-and-fire model.

## Key findings

- Identification of linear transfer relationships
- Regions with sharper transfer functions
- Validation potential with biological data

## Abstract

This work reports a transfer function-based approach to characterizing the operation of single neuronal cells in terms of the instantaneous frequency of the input and output signals. We adopt the leaky integrate-and-fire model. The transfer relationship is obtained by performing successive numeric-computational simulations and statistical regressions. Several interesting results are reported, including the identification and characterization of linearity in the transfer relationship, as well as the identification of regions in the parameter space characterized by sharper transfer functions. These properties can be used to facilitate simulations under certain circumstances and to validate the model by comparison with biological results.