title: Modulated escape from a metastable state driven by colored noise.
abstract: Many phenomena in nature are described by excitable systems driven by colored noise. The temporal correlations in the fluctuations hinder an analytical treatment. We here present a general method of reduction to a white-noise system, capturing the color of the noise by effective and time-dependent boundary conditions. We apply the formalism to a model of the excitability of neuronal membranes, the leaky integrate-and-fire neuron model, revealing an analytical expression for the linear response of the system valid up to moderate frequencies. The closed form analytical expression enables the characterization of the response properties of such excitable units and the assessment of oscillations emerging in networks thereof.
authors.affiliation: Institute of Neuroscience and Medicine (INM-6) and Institute for Advanced Simulation (IAS-6) and JARA BRAIN Institute I, Jülich Research Centre, Jülich, Germany.
authors.forename: Jannis
authors.initials: J
authors.lastname: Schuecker
authors.affiliation: Institute of Neuroscience and Medicine (INM-6) and Institute for Advanced Simulation (IAS-6) and JARA BRAIN Institute I, Jülich Research Centre, Jülich, Germany.|Department of Psychiatry, Psychotherapy and Psychosomatics, Medical Faculty, RWTH Aachen University, Aachen, Germany.|Department of Physics, Faculty 1, RWTH Aachen University, Aachen, Germany.
authors.forename: Markus
authors.initials: M
authors.lastname: Diesmann
authors.affiliation: Institute of Neuroscience and Medicine (INM-6) and Institute for Advanced Simulation (IAS-6) and JARA BRAIN Institute I, Jülich Research Centre, Jülich, Germany.|Department of Physics, Faculty 1, RWTH Aachen University, Aachen, Germany.
authors.forename: Moritz
authors.initials: M
authors.lastname: Helias
mesh_terms: D002462:Cell Membrane / Q000378:metabolism; D008959:Models, Neurological; D009474:Neurons / Q000166:cytology*; D059629:Signal-To-Noise Ratio; D013569:Synapses / Q000502:physiology