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Two-point heterogeneous connections in a continuum neural field model

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Brackley, C. A. and Turner, Matthew S. (2009) Two-point heterogeneous connections in a continuum neural field model. Biological Cybernetics, Vol.100 (No.5). pp. 371-383. doi:10.1007/s00422-009-0308-7 ISSN 0340-1200.

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Official URL: http://dx.doi.org/10.1007/s00422-009-0308-7

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Abstract

We examine a novel heterogeneous connection scheme in a 1D continuum neural field model. Multiple two-point connections are added to a local connection function in order to model the "patchy" connections seen in, for example visual cortex. We use a numerical approach to solve the equations, choosing the locations of the two-point connections stochastically. We observe self-sustained persistent fluctuations of activity which can be classified into two types (one of which is similar to that seen in network models of discrete excitable neurons, the other being particular to this model). We study the effect of parameters such as system size and the range, number and strength of connections, on the probability that a particular realisation of the connections is able to exhibit persistent fluctuations.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Q Science > QP Physiology
R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): Neural networks (Neurobiology) -- Mathematical models, Computational neuroscience
Journal or Publication Title: Biological Cybernetics
Publisher: Springer
ISSN: 0340-1200
Official Date: May 2009
Dates:
DateEvent
May 2009Published
Volume: Vol.100
Number: No.5
Number of Pages: 13
Page Range: pp. 371-383
DOI: 10.1007/s00422-009-0308-7
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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