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Fokker-Planck analysis of stochastic coherence in models of an excitable neuron with noise in both fast and slow dynamics

Hilborn, Robert C. and Erwin, Rebecca J. (2005) Fokker-Planck analysis of stochastic coherence in models of an excitable neuron with noise in both fast and slow dynamics. Physical Review E, 72 (3). Art. No. 031112. ISSN 1063-651X. http://resolver.caltech.edu/CaltechAUTHORS:HILpre05

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Abstract

We provide a detailed and quantitative Fokker-Planck analysis of noise-induced periodicity (stochastic coherence, also known as coherence resonance) in both a discrete-time model and a continuous-time model of excitable neurons. In particular, we show that one-dimensional models can explain why the effects of noise added to the fast and slow dynamics of the models are dramatically different. We argue that such effects should occur in any excitable system with two or more distinct time scales and need to be taken into account in experiments investigating stochastic coherence.


Item Type:Article
Additional Information:©2005 The American Physical Society. Received 25 May 2005; revised 18 July 2005; published 29 September 2005. We thank W. Loinaz for helpful discussions. R.C.H. thanks the Center for Theoretical Biological Physics and the Institute for Nonlinear Science, both at University of California at San Diego, where part of this work was completed.
Subject Keywords:stochastic processes; neurophysiology; noise; Fokker-Planck equation
Record Number:CaltechAUTHORS:HILpre05
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:HILpre05
Alternative URL:http://dx.doi.org/10.1103/PhysRevE.72.031112
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4004
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Jul 2006
Last Modified:26 Dec 2012 08:57

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