title: Modeling neural oscillations.
abstract: A brief review of oscillatory activity in neurons and networks is given. Conditions required for neural oscillations are provided. Three mathematical methods for studying the coupling between neural oscillators are described: (i) weak coupling, (ii) firing time maps, and (iii) leaky integrate-and-fire methods. Several applications from macroscopic motor behavior to slice phenomena are provided.
authors.affiliation: Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA, USA. bard@pitt.edu
authors.forename: G Bard
authors.initials: GB
authors.lastname: Ermentrout
authors.forename: Carson C
authors.initials: CC
authors.lastname: Chow
mesh_terms: D000465:Algorithms; D000818:Animals; D004594:Electrophysiology; D006801:Humans; D008959:Models, Neurological; D015233:Models, Statistical; D009474:Neurons / Q000502:physiology*