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On a Gaussian neuronal field model
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Lu, Wenlian, Rossoni, Enrico and Feng, Jianfeng (2010) On a Gaussian neuronal field model. NeuroImage, Vol.52 (No.3). pp. 913-933. doi:10.1016/j.neuroimage.2010.02.075 ISSN 1053-8119.
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Official URL: http://dx.doi.org/10.1016/j.neuroimage.2010.02.075
Abstract
Can we understand the dynamic behaviour of leaky integrate-and-fire (LIF) networks, which present the major, and possibly the only, analytically tractable tool we employ in computational neuroscience? To answer this question, here we present a theoretical framework on the spike activities of LIF networks by including the first order moment (mean firing rate) and the second order moment statistics (variance and correlation), based on a moment neuronal network (MNN) approach. The spike activity of a LIF network is approximated as a Gaussian random field and can reduce to the classical Wilson-Cowan-Amari (WCA) neural field if the variances vanish. Our analyses reveal several interesting phenomena of LIF networks. With a small clamped correlation and strong inhibition, the firing rate response function could be non-monotonic (not sigmoidal type), which can lead to interesting dynamics. For a feedforward and recurrent neuronal network, our setup allows us to prove that all neuronal spike activities rapidly synchronize, a well-known fact observed in both experiments and numerical simulations. We also present several examples of wave propagations in this field model. Finally, we test our MNN with the content-dependent working memory setting. The potential application of this random neuronal field idea to account for many experimental data is also discussed. (C) 2010 Elsevier Inc. All rights reserved.
| Item Type: | Journal Article | ||||
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| Subjects: | R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry R Medicine |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing Faculty of Science, Engineering and Medicine > Science > Computer Science |
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| Journal or Publication Title: | NeuroImage | ||||
| Publisher: | Elsevier | ||||
| ISSN: | 1053-8119 | ||||
| Official Date: | September 2010 | ||||
| Dates: |
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| Volume: | Vol.52 | ||||
| Number: | No.3 | ||||
| Number of Pages: | 21 | ||||
| Page Range: | pp. 913-933 | ||||
| DOI: | 10.1016/j.neuroimage.2010.02.075 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | National Natural Sciences Foundation of China, Shanghai Pujiang Program, Engineering and Physical Sciences Research Council (EPSRC), European Commission | ||||
| Grant number: | 60804044, 08PJ14019, 213219 |
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