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Spike-train spectra and network response functions for non-linear integrate-and-fire neurons
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Richardson, Magnus J. E. (2008) Spike-train spectra and network response functions for non-linear integrate-and-fire neurons. Biological Cybernetics, Volume 99 (Numbers 4-5). pp. 381-392. doi:10.1007/s00422-008-0244-y ISSN 0340-1200.
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Official URL: http://dx.doi.org/10.1007/s00422-008-0244-y
Abstract
Reduced models have long been used as a tool for the analysis of the complex activity taking place in neurons and their coupled networks. Recent advances in experimental and theoretical techniques have further demonstrated the usefulness of this approach. Despite the often gross simplification of the underlying biophysical properties, reduced models can still present significant difficulties in their analysis, with the majority of exact and perturbative results available only for the leaky integrate-and-fire model. Here an elementary numerical scheme is demonstrated which can be used to calculate a number of biologically important properties of the general class of non-linear integrate-and-fire models. Exact results for the first-passage-time density and spike-train spectrum are derived, as well as the linear response properties and emergent states of recurrent networks. Given that the exponential integrate-fire model has recently been shown to agree closely with the experimentally measured response of pyramidal cells, the methodology presented here promises to provide a convenient tool to facilitate the analysis of cortical-network dynamics.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry |
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| Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Warwick Systems Biology Centre | ||||
| Library of Congress Subject Headings (LCSH): | Neural networks (Computer science), Fokker-Planck equation, Computational neuroscience, Electrophysiology | ||||
| Journal or Publication Title: | Biological Cybernetics | ||||
| Publisher: | Springer | ||||
| ISSN: | 0340-1200 | ||||
| Official Date: | November 2008 | ||||
| Dates: |
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| Volume: | Volume 99 | ||||
| Number: | Numbers 4-5 | ||||
| Number of Pages: | 12 | ||||
| Page Range: | pp. 381-392 | ||||
| DOI: | 10.1007/s00422-008-0244-y | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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