Large-scale neural dynamics: simple and complex

Coombes, Stephen (2009) Large-scale neural dynamics: simple and complex. NeuroImage . ISSN 1053-8119 (In Press)

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Abstract

We review the use of neural field models for modelling the brain at the large scales necessary for interpreting EEG, fMRI, MEG and optical imaging data. Albeit a framework that is limited to coarse-grained or mean-field activity, neural field models provide a framework for unifying data from different imaging modalities. Starting with a description of neural mass models we build to spatially extended cortical models of layered two-dimensional sheets with long range axonal connections mediating synaptic interactions. Reformulations of the fundamental non-local mathematical model in terms of more familiar local differential (brain wave) equations are described. Techniques for the analysis of such models, including how to determine the onset of spatio-temporal pattern forming instabilities, are reviewed. Extensions of the basic formalism to treat refractoriness, adaptive feedback and inhomogeneous connectivity are described along with open challenges for the development of multi-scale models that can integrate macroscopic models at large spatial scales with models at the microscopic scale.

Item Type: Article
Uncontrolled Keywords: brain wave equation, EEG, fMRI
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Coombes, Prof Stephen
Date Deposited: 06 Jan 2010 17:39
Last Modified: 23 Jun 2011 06:53
URI: http://eprints.nottingham.ac.uk/id/eprint/1221

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