title: Firing statistics of a neuron model driven by long-range correlated noise.
abstract: We study the statistics of the firing patterns of a perfect integrate and fire neuron model driven by additive long-range correlated Ornstein-Uhlenbeck noise. Using a quasistatic weak noise approximation we obtain expressions for the interspike interval (ISI) probability density, the power spectral density, and the spike count Fano factor. We find unimodal, long-tailed ISI densities, Lorenzian power spectra at low frequencies, and a minimum in the Fano factor as a function of counting time. The implications of these results for signal detection are discussed.
authors.affiliation: Department of Physics, University of Ottawa, 150 Louis Pasteur, Ottawa, Ontario, Canada K1N 6N5. jmidd620@science.uottawa.ca
authors.forename: J W
authors.initials: JW
authors.lastname: Middleton
authors.forename: M J
authors.initials: MJ
authors.lastname: Chacron
authors.forename: B
authors.initials: B
authors.lastname: Lindner
authors.forename: A
authors.initials: A
authors.lastname: Longtin
mesh_terms: D000200:Action Potentials; D000818:Animals; D055592:Biophysical Phenomena; D001703:Biophysics; D006801:Humans; D008959:Models, Neurological; D015233:Models, Statistical; D008962:Models, Theoretical; D009474:Neurons / Q000378:metabolism / Q000502:physiology*; D009435:Synaptic Transmission; D013997:Time Factors