Title
Noise-induced transitions in slow wave neuronal dynamics
Abstract
Many neuronal systems exhibit slow random alternations and sudden switches in activity states. Models with noisy relaxation dynamics (oscillatory, excitable or bistable) account for these temporal, slow wave, patterns and the fluctuations within states. The noise-induced transitions in a relaxation dynamics are analogous to escape by a particle in a slowly changing double-well potential. In this formalism, we obtain semi-analytically the first and second order statistical properties: the distributions of the slow process at the transitions and the temporal correlations of successive switching events. We find that the temporal correlations can be used to help distinguish among biophysical mechanisms for the slow negative feedback, such as divisive or subtractive. We develop our results in the context of models for cellular pacemaker neurons; they also apply to mean-field models for spontaneously active networks with slow wave dynamics.
Year
DOI
Venue
2010
10.1186/1471-2202-9-S1-P139
Journal of Computational Neuroscience
Keywords
Field
DocType
Central Pattern Generator, Silent Phase, Binocular Rivalry, Slow Manifold, Slow Wave System
Neuroscience,Computer science,Artificial intelligence
Journal
Volume
Issue
ISSN
9
Suppl 1
1471-2202
Citations 
PageRank 
References 
6
0.58
6
Authors
2
Name
Order
Citations
PageRank
Sukbin Lim1101.07
John Rinzel2459219.68