title: Fluctuations and information filtering in coupled populations of spiking neurons with adaptation.
abstract: Finite-sized populations of spiking elements are fundamental to brain function but also are used in many areas of physics. Here we present a theory of the dynamics of finite-sized populations of spiking units, based on a quasirenewal description of neurons with adaptation. We derive an integral equation with colored noise that governs the stochastic dynamics of the population activity in response to time-dependent stimulation and calculate the spectral density in the asynchronous state. We show that systems of coupled populations with adaptation can generate a frequency band in which sensory information is preferentially encoded. The theory is applicable to fully as well as randomly connected networks and to leaky integrate-and-fire as well as to generalized spiking neurons with adaptation on multiple time scales.
authors.affiliation: School of Computer and Communication Sciences and School of Life Sciences, Brain Mind Institute, École polytechnique fédérale de Lausanne, Station 15, 1015 Lausanne EPFL, Switzerland.
authors.forename: Moritz
authors.initials: M
authors.lastname: Deger
authors.affiliation: School of Computer and Communication Sciences and School of Life Sciences, Brain Mind Institute, École polytechnique fédérale de Lausanne, Station 15, 1015 Lausanne EPFL, Switzerland.
authors.forename: Tilo
authors.initials: T
authors.lastname: Schwalger
authors.affiliation: Department of Physics, University of Ottawa, 150 Louis Pasteur, Ottawa, Ontario, K1N 6N5 Canada.
authors.forename: Richard
authors.initials: R
authors.lastname: Naud
authors.affiliation: School of Computer and Communication Sciences and School of Life Sciences, Brain Mind Institute, École polytechnique fédérale de Lausanne, Station 15, 1015 Lausanne EPFL, Switzerland.
authors.forename: Wulfram
authors.initials: W
authors.lastname: Gerstner
mesh_terms: D000222:Adaptation, Physiological; D008959:Models, Neurological; D009474:Neurons / Q000166:cytology*