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Spike-triggered averages for passive and resonant neurons receiving filtered excitatory and inhibitory synaptic drive
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Badel, Laurent, Gerstner, Wulfram and Richardson, Magnus J. E. (2008) Spike-triggered averages for passive and resonant neurons receiving filtered excitatory and inhibitory synaptic drive. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Volume 78 (Number 1 Part 1). Article No. 011914. doi:10.1103/PhysRevE.78.011914 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.78.011914
Abstract
A path-integral approach is developed for the analysis of spike-triggered average quantities in neurons with voltage-gated subthreshold currents. Using a linearization procedure to reduce the models to the generalized integrate-and-fire form, analytical expressions are obtained in an experimentally relevant limit of fluctuation-driven firing. The influences of voltage-gated channels as well as excitatory and inhibitory synaptic filtering are shown to affect significantly the neuronal dynamics prior to the spike. Analytical forms are given for all relevant physiological quantities, such as the mean voltage triggered to the spike, mean current flowing through voltage-gated channels, and the mean excitatory and inhibitory conductance waveforms prior to a spike. The mathematical results are shown to be in good agreement with numerical simulations of the underlying nonlinear conductance-based models. The method promises to provide a useful analytical tool for the prediction and interpretation of the temporal structure of spike-triggered averages measured experimentally.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics Q Science > QP Physiology 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): | Path integrals, Neurons, Neural transmission | ||||
| Journal or Publication Title: | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 1539-3755 | ||||
| Official Date: | July 2008 | ||||
| Dates: |
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| Volume: | Volume 78 | ||||
| Number: | Number 1 Part 1 | ||||
| Number of Pages: | 12 | ||||
| Page Range: | Article No. 011914 | ||||
| DOI: | 10.1103/PhysRevE.78.011914 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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