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Dynamics of moment neuronal networks
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Feng, Jianfeng, Deng, Yingchun and Rosonni, Enrico (2006) Dynamics of moment neuronal networks. Physical Review E, Volume 73 (Number 4 Part 1). doi:10.1103/PhysRevE.73.041906 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.73.041906
Abstract
A theoretical framework is developed for moment neuronal networks (MNNs). Within this framework, the behavior of the system of spiking neurons is specified in terms of the first- and second-order statistics of their interspike intervals, i.e., the mean, the variance, and the cross correlations of spike activity. Since neurons emit and receive spike trains which can be described by renewal-but generally non-Poisson-processes, we first derive a suitable diffusion-type approximation of such processes. Two approximation schemes are introduced: the usual approximation scheme (UAS) and the Ornstein-Uhlenbeck scheme. It is found that both schemes approximate well the input-output characteristics of spiking models such as the IF and the Hodgkin-Huxley models. The MNN framework is then developed according to the UAS scheme, and its predictions are tested on a few examples.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QC Physics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||||||
Journal or Publication Title: | Physical Review E | ||||||||
Publisher: | American Physical Society | ||||||||
ISSN: | 1539-3755 | ||||||||
Official Date: | 7 April 2006 | ||||||||
Dates: |
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Volume: | Volume 73 | ||||||||
Number: | Number 4 Part 1 | ||||||||
Number of Pages: | 17 | ||||||||
DOI: | 10.1103/PhysRevE.73.041906 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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