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Topographic voltage and coherence mapping of brain potentials by means of the symbolic resonance analysis

Peter beim Graben1,2,*, Stefan Frisch1,3,4, Andrew Fink1,2, Douglas Saddy1, and Jürgen Kurths2

  • 1Institute of Linguistics, Universität Potsdam, P.O. Box 601553, 14415 Potsdam, Germany
  • 2Institute of Physics, Nonlinear Dynamics Group, Universität Potsdam, P.O. Box 601553, 14415 Potsdam, Germany
  • 3Day-Care Clinic of Cognitive Neurology, Universität Leipzig, Liebigstraße 22a, 04103 Leipzig, Germany
  • 4Max-Planck Institute for Human Cognitive and Brain Sciences, P.O. Box 500355, 04303 Leipzig, Germany

  • *Electronic address: peter@ling.uni-potsdam.de
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Phys. Rev. E 72, 051916 – Published 11 November, 2005

DOI: https://doi.org/10.1103/PhysRevE.72.051916

Abstract

We apply the recently developed symbolic resonance analysis to electroencephalographic measurements of event-related brain potentials (ERPs) in a language processing experiment by using a three-symbol static encoding with varying thresholds for analyzing the ERP epochs, followed by a spin-flip transformation as a nonlinear filter. We compute an estimator of the signal-to-noise ratio (SNR) for the symbolic dynamics measuring the coherence of threshold-crossing events. Hence, we utilize the inherent noise of the EEG for sweeping the underlying ERP components beyond the encoding thresholds. Plotting the SNR computed within the time window of a particular ERP component (the N400) against the encoding thresholds, we find different resonance curves for the experimental conditions. The maximal differences of the SNR lead to the estimation of optimal encoding thresholds. We show that topographic brain maps of the optimal threshold voltages and of their associated coherence differences are able to dissociate the underlying physiological processes, while corresponding maps gained from the customary voltage averaging technique are unable to do so.

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Outline

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Phys. Rev. E 72, 051916– Published 11 November, 2005
  • Received 15 June 2005

© 2005 American Physical Society

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