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Symbolic dynamics of event-related brain potentials

Graben, P. B., Saddy, J. D., Schlesewsky, M. and Kurths, J. (2000) Symbolic dynamics of event-related brain potentials. Physical Review E, 62 (4, B). pp. 5518-5541. ISSN 1539-3755

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Abstract/Summary

We apply symbolic dynamics techniques such as word statistics and measures of complexity to nonstationary and noisy multivariate time series of electroencephalograms (EEG) in order to estimate event-related brain potentials (ERP). Their significance against surrogate data as well as between different experimental conditions is tested. These methods are validated by simulations using stochastic dynamical systems with time-dependent control parameters and compared with traditional ERP-analysis techniques. Continuous EEG data are cut into epochs according to stimuli events presented to the subjects. These ensembles of time series can be considered as ensembles of trajectories given by some dynamical systems. We employ a statistical mechanics approach motivated by the Frobenius-Perron equation and apply it to coarse-grained symbolic descriptions of the dynamics. We develop time-dependent measures of complexity founded on running cylinder sets and show that these quantities are able to distinguish simulated data obtained by different control parameters as well as experimental data between different experimental conditions. As a first finding, our approach restores the well-known ERP components and it reveals additionally qualitative changes in the EEG that cannot be detected by means of the traditional techniques. We criticize the prerequisites of the traditional approach to ERP analysis and propose to consider ERP instead in terms of dynamical system theory and information theory.

Item Type:Article
Refereed:Yes
Divisions:No Reading authors. Back catalogue items
Interdisciplinary centres and themes > Centre for Integrative Neuroscience and Neurodynamics (CINN)
Faculty of Life Sciences > School of Psychology and Clinical Language Sciences > Department of Psychology
Faculty of Life Sciences > School of Psychology and Clinical Language Sciences > Department of Clinical Language Sciences
ID Code:72811
Publisher:American Physical Society

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