The Morris-Lecar neuron model embeds a leaky integrate-and-fire model
Probability
2014-02-04 v1 Neurons and Cognition
Abstract
We show that the stochastic Morris-Lecar neuron, in a neighborhood of its stable point, can be approximated by a two-dimensional Ornstein-Uhlenbeck (OU) modulation of a constant circular motion. The associated radial OU process is an example of a leaky integrate-and-fire (LIF) model prior to firing. A new model constructed from a radial OU process together with a simple firing mechanism based on detailed Morris-Lecar firing statistics reproduces the Morris-Lecar Interspike Interval (ISI) distribution, and has the computational advantages of a LIF. The result justifies the large amount of attention paid to the LIF models.
Cite
@article{arxiv.1108.0073,
title = {The Morris-Lecar neuron model embeds a leaky integrate-and-fire model},
author = {Susanne Ditlevsen and Priscilla Greenwood},
journal= {arXiv preprint arXiv:1108.0073},
year = {2014}
}
Comments
19 pages, 6 figures