Journal
NETWORK-COMPUTATION IN NEURAL SYSTEMS
Volume 14, Issue 2, Pages 249-272Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0954-898X/14/2/305
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- NIMH NIH HHS [MH50166] Funding Source: Medline
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A novel approach to cortical modelling was introduced by Knight and co-workers in 1996. In their presentation cortical dynamics is formulated in terms of interacting populations of neurons, a perspective that is in part motivated by modern cortical imaging. The approach may be regarded as the application of statistical mechanics to neuronal populations, and the simplest exemplar bears a kinship to the Boltzmann equation of kinetic theory. The disarming simplicity of this linear equation hides the complex behaviour it produces. A purpose of this paper is to investigate and reveal its intricacies by treating a series of solvable special cases. In particular we will focus on issues that relate to the spectral analysis of the underlying operators. A fairly thorough treatment is presented for a simple, but still useful example, that has important consequences for more general situations.
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