The approach of a neuron population firing rate to a new equilibrium: An exact theoretical result

B. W. Knight, A. Omurtag, L. Sirovich

Research output: Contribution to journalArticlepeer-review

56 Scopus citations

Abstract

The response of a noninteracting population of identical neurons to a step change in steady synaptic input can be analytically calculated exactly from the dynamical equation that describes the population's evolution in time. Here, for model integrate-and-fire neurons that undergo a fixed finite upward shift in voltage in response to each synaptic event, we compare the theoretical prediction with the result of a direct simulation of 90,000 model neurons. The degree of agreement supports the applicability of the population dynamics equation. The theoretical prediction is in the form of a series. Convergence is rapid, so that the full result is well approximated by a few terms.

Original languageEnglish (US)
Pages (from-to)1045-1055
Number of pages11
JournalNeural Computation
Volume12
Issue number5
DOIs
StatePublished - May 2000

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Cognitive Neuroscience

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