PMID: 15244849Jul 13, 2004Paper

Transmission of stimulus-locked responses in two coupled phase oscillators

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Peter A Tass

Abstract

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...Continue Reading

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Citations

Mar 11, 2006·Experimental Brain Research·J Lagarde, J A S Kelso
Aug 10, 2005·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Peter A Tass
Sep 24, 2010·PLoS Computational Biology·Andres Buehlmann, Gustavo Deco
Dec 2, 2010·IEEE Transactions on Information Technology in Biomedicine : a Publication of the IEEE Engineering in Medicine and Biology Society·Hong YingMichael Schiek
Jul 7, 2009·Journal of Neuroscience Methods·W D PennyK Friston
Jun 1, 2016·Frontiers in Computational Neuroscience·Magteld Zeitler, Peter A Tass
Aug 11, 2018·Journal of Neural Engineering·Christine BeaucheneNicole Abaid
Mar 22, 2007·Physics in Medicine and Biology·Ernesto Palmero-SolerPeter A Tass
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Valerii KrachkovskyiPeter A Tass
May 11, 2011·Journal of Neural Engineering·Borys LysyanskyPeter A Tass

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