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Phys. Rev. E 70, 011914 (2004) [10 pages]

Synchronization measures of bursting data: Application to the electrocorticogramof an auditory event-related experiment

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Mark A. Kramer1, Erik Edwards2, Maryam Soltani2, Mitchel S. Berger3, Robert T. Knight2, and Andrew J. Szeri1,4,*
1Program in Applied Science and Technology, University of California, Berkeley, California 94720-1708, USA
2Department of Psychology and The Helen Wills Neuroscience Institute, University of California,Berkeley, California 94720-1650, USA
3Department of Neurological Surgery, University of California, San Francisco, California 94143, USA
4Department of Mechanical Engineering, University of California, Berkeley, California 94720-1740, USA

Received 5 November 2003; revised 17 February 2004; published 29 July 2004

Synchronization measures have become an important tool for exploring the relationships between time series. We review three recently proposed nonlinear synchronization measures and expand their definitions in a straightforward way to apply to an ensemble of measurements. We also develop a synchronization measure in which nearest neighbors are determined across the ensemble. We compare these four nonlinear synchronization measures and show that our measure succeeds in physically motivated examples where the other methods fail. We apply the synchronization measure to human electrocorticogram data collected during an auditory event-related potential experiment. The results suggest a crude model of cortical connectivity.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.011914
DOI:
10.1103/PhysRevE.70.011914
PACS:
87.19.Nn, 05.45.Tp, 05.45.Xt, 87.19.La

*Electronic address: aszeri@me.berkeley.edu

 
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