Modulated escape from a metastable state driven by colored noise

Jannis Schuecker, Markus Diesmann, and Moritz Helias
Phys. Rev. E 92, 052119 – Published 16 November 2015

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.

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  • Received 6 November 2014
  • Revised 29 July 2015

DOI:https://doi.org/10.1103/PhysRevE.92.052119

©2015 American Physical Society

Authors & Affiliations

Jannis Schuecker1, Markus Diesmann1,2,3, and Moritz Helias1,3

  • 1Institute of Neuroscience and Medicine (INM-6) and Institute for Advanced Simulation (IAS-6) and JARA BRAIN Institute I, Jülich Research Centre, Jülich, Germany
  • 2Department of Psychiatry, Psychotherapy and Psychosomatics, Medical Faculty, RWTH Aachen University, Aachen, Germany
  • 3Department of Physics, Faculty 1, RWTH Aachen University, Aachen, Germany

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Issue

Vol. 92, Iss. 5 — November 2015

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