How well do reduced models capture the dynamics in models of interacting neurons?

Yao Li, Logan Chariker, Lai Sang Young

Research output: Contribution to journalArticlepeer-review


This paper introduces a class of stochastic models of interacting neurons with emergent dynamics similar to those seen in local cortical populations. Rigorous results on existence and uniqueness of nonequilibrium steady states are proved. These network models are then compared to very simple reduced models driven by the same mean excitatory and inhibitory currents. Discrepancies in firing rates between network and reduced models are investigated and explained by correlations in spiking, or partial synchronization, working in concert with “nonlinearities” in the time evolution of membrane potentials. The use of simple random walks and their first passage times to simulate fluctuations in neuronal membrane potentials and interspike times is also considered.

Original languageEnglish (US)
Pages (from-to)83-115
Number of pages33
JournalJournal Of Mathematical Biology
Issue number1-2
StatePublished - Jan 15 2019

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics


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