 |
| Research article summary (published 29 Sep 2003): |
Firing rate of the noisy quadratic integrate-and-fire neuron.
Full Abstract
We calculate the firing rate of the quadratic integrate-and-fire neuron in response to a colored noise input current. Such an input current is a good approximation to the noise due to the random bombardment of spikes, with the correlation time of the noise corresponding to the decay time of the synapses. The key parameter that determines the firing rate is the ratio of the correlation time of the colored noise, tau(s), to the neuronal time constant, tau(m). We calculate the firing rate exactly in two limits:
when the ratio, tau(s)/tau(m), goes to zero (white noise) and when it goes to infinity. The correction to the short correlation time limit is O(tau(s)/tau(m)), which is qualita tively different from that of the leaky integrate-and-fire neuron, where the correction is O( radical tau(s)/tau(m)). The difference is due to the different boundary conditions of the probability density function of the membrane potential of the neuron at firing threshold. The correction to the long correlation time limit is O(tau(m)/tau(s)). By combining the short and long correlation time limits, we derive an expression that provides a good approximation to the firing rate over the whole range of tau(s)/tau(m) in the suprathreshold regime-that is, in a regime in which the average current is sufficient to make the cell fire. In the subthreshold regime, the expression breaks down somewhat when tau(s) becomes large compared to tau(m).
Learn Faster Today Improve your study skills
Author information
Author/s: Brunel, Nicolas (N); Latham, Peter E (PE);
Affiliation: CNRS, NPSM, Université Paris René Descartes, 75270 Paris Cedex 06, France. brunel(-atsign-)biomedicale.univ-paris5.fr
Grants: R01 MH62447 (Agency:United States NIMH)
Journal and publication information
Publication Type: Journal Article; Research Support, U.S. Gov't, P.H.S.
Journal: Neural computation (Neural Comput), published in United States. (Language: eng)
Reference: 2003-Oct; vol 15 (issue 10) : pp 2281-306
Dates: Created 2003/09/26; Completed 2003/10/29; Revised 2007/11/14;
PMID: 14511522, status: MEDLINE (last retrieval date: 11/6/2008)
Sourced from the National Library of Medicine. Abstract text and other information may be subject to copyright.
External Links for this article (including full text providers, if available):
Click Electronic Full-text Provider Links to see options for finding the electronic full text links to this article. Note there may be a subscription or fee required for access to the full text. See our FAQ for information on finding FREE full text articles.
This article may also be located in paper journal collections available in many libraries. Use the Journal and Publication Information above to find the full article.
MeSH headings (categories)
This article was linked to the MESH Headings shown below.
|
|
Related articles
This article has not been indexed for related articles as yet, however you can still use the live related article search links below.
See a large map of 100+ related articles.