Document Detail


Transmission of stimulus-locked responses in two coupled phase oscillators.
MedLine Citation:
PMID:  15244849     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
A model of two n:m coupled phase oscillators is studied, where both oscillators are subject to random forces, but only one oscillator is repetitively stimulated with a pulsatile stimulus. The focus of the paper is on transmission of transient responses as well as transient synchronization and desynchronization, which are stimulus locked, i.e., tightly time locked to the stimulus. A bistability or multistability of stable synchronized states of the two-phase oscillators (modulo 2pi ) occurs due to the n:m coupling. Accordingly, after stimulation the two oscillators may tend to qualitatively different stable states, which leads to a cross-trial (CT) response clustering (i.e., a switching between qualitatively different poststimulus responses across trials) of either one of the oscillators or both. A stochastic CT phase resetting analysis allows one to detect such transient responses and provides a reliable estimation of the transmission time. In contrast, CT averaging (averaging over an ensemble of responses), CT standard deviation, and CT cross correlation fail in studying the transmission of such stimulus-locked responses, even in the simpler case of 1:1 coupling. In particular, even though being used as golden standard for the analysis of evoked responses in medicine and neuroscience, CT averaging typically causes severe artifacts and misinterpretations.
Authors:
Peter A Tass
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't     Date:  2004-05-24
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  69     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2004 May 
Date Detail:
Created Date:  2004-07-12     Completed Date:  2004-09-28     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  051909     Citation Subset:  IM    
Affiliation:
Institute of Medicine, Research Center Jülich, 52425 Jülich, Germany. p.tass@fz-juelich.de
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MeSH Terms
Descriptor/Qualifier:
Animals
Brain / pathology
Cluster Analysis
Electroencephalography / methods*
Entropy
Humans
Models, Statistical
Oscillometry / methods*
Thermodynamics
Time Factors

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