Diagrammatic expansion of pulse-coupled network dynamics in terms of subnetworks

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Abstract

We introduce a framework wherein various measurements of a pulse-coupled network's stationary dynamics can be expanded in terms of the network's connectivity. Such measurements include the occurrence rate of pulses (e.g., firing rates within a neuronal network) as well as higher-order correlations in activity between various nodes in the network. The various terms in this expansion can be interpreted as diagrams corresponding to subnetworks of the original network, which span both space (in terms of the network's graph) as well as time (in the sense of causality).

Original languageEnglish (US)
Article number036101
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume80
Issue number3
DOIs
StatePublished - Sep 1 2009

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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