This title appears in the Scientific Report :
2015
Please use the identifier:
http://hdl.handle.net/2128/9592 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevE.92.052119 in citations.
Modulated escape from a metastable state driven by colored noise
Modulated escape from a metastable state driven by colored noise
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 b...
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Personal Name(s): | Schuecker, Jannis (Corresponding author) |
---|---|
Diesmann, Markus / Helias, Moritz | |
Contributing Institute: |
Computational and Systems Neuroscience; INM-6 JARA-BRAIN; JARA-BRAIN Computational and Systems Neuroscience; IAS-6 |
Published in: | Physical Review E Physical review / E, 92 92 (2015 2015) 5 5, S. 052119 052119 |
Imprint: |
College Park, Md.
APS
2015
2015-11-16 2015-11-01 |
PubMed ID: |
26651659 |
DOI: |
10.1103/PhysRevE.92.052119 |
Document Type: |
Journal Article |
Research Program: |
The Human Brain Project Theory of multi-scale neuronal networks Theory, modelling and simulation (Dys-)function and Plasticity Connectivity and Activity |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevE.92.052119 in citations.
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. |