Published September 1, 2005
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Journal Article
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Fokker-Planck analysis of stochastic coherence in models of an excitable neuron with noise in both fast and slow dynamics
- Creators
- Hilborn, Robert C.
- Erwin, Rebecca J.
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.
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.Files
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Additional details
- Eprint ID
- 4004
- Resolver ID
- CaltechAUTHORS:HILpre05
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2006-07-24Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field