title: The variance of phase-resetting curves.
abstract: Phase resetting curves (PRCs) provide a measure of the sensitivity of oscillators to perturbations. In a noisy environment, these curves are themselves very noisy. Using perturbation theory, we compute the mean and the variance for PRCs for arbitrary limit cycle oscillators when the noise is small. Phase resetting curves and phase dependent variance are fit to experimental data and the variance is computed using an ad-hoc method. The theoretical curves of this phase dependent method match both simulations and experimental data significantly better than an ad-hoc method. A dual cell network simulation is compared to predictions using the analytical phase dependent variance estimation presented in this paper. We also discuss how entrainment of a neuron to a periodic pulse depends on the noise amplitude.
authors.affiliation: Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvannia, USA. bard@pitt.edu
authors.forename: G Bard
authors.initials: GB
authors.lastname: Ermentrout
authors.forename: Bryce
authors.initials: B
authors.lastname: Beverlin
authors.forename: Todd
authors.initials: T
authors.lastname: Troyer
authors.forename: Theoden I
authors.initials: TI
authors.lastname: Netoff
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000465:Algorithms; D000818:Animals; D016477:Artifacts; D001683:Biological Clocks / Q000502:physiology*; D003344:Cortical Synchronization / Q000502:physiology; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology*