Statistical physics approaches to neuronal network dynamics.

David Cai, Louis Tao

Research output: Contribution to journalReview articlepeer-review


We review a statistical physics approach for reduced descriptions of neuronal network dynamics. From a network of all-to-all coupled, excitatory integrate-and-fire neurons, we derive a (2+1)-D advection-diffusion equation for a probability distribution function, which describes neuronal population dynamics. We further show how to derive a (1+1)-D kinetic equation, using a moment closure scheme, without introducing any new parameters to the system. We demonstrate the numerical accuracy of our kinetic theory by comparing its results to Monte Carlo simulations of the full integrate-and-fire neuronal network.

Original languageEnglish (US)
Pages (from-to)453-462
Number of pages10
JournalSheng li xue bao : [Acta physiologica Sinica]
Issue number5
StatePublished - Oct 25 2011

ASJC Scopus subject areas

  • General Medicine


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