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PubMed · 12790184

Dynamics of neuronal populations: eigenfunction theory; some solvable cases.

Lawrence Sirovich
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Abstract

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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Cerebral CortexComputer SimulationModels, NeurologicalNeural PathwaysNeuronsJournal ArticleResearch Support, U.S. Gov't, Non-P.H.S.Research Support, U.S. Gov't, P.H.S.

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Lawrence Sirovich. 2003. Dynamics of neuronal populations: eigenfunction theory; some solvable cases.. https://pubmed.ncbi.nlm.nih.gov/12790184/

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