Skip to main content
SpringerLink
Log in

Detection of Phase Synchronization in Multivariate Single Brain Signals by a Clustering Approach

  • Chapter
  • First Online:
Coordinated Activity in the Brain

Part of the book series: Springer Series in Computational Neuroscience ((NEUROSCI,volume 2))

  • 1038 Accesses

Abstract

Analog signals of the cerebral cortex in behaving subjects frequently express strong oscillatory components. To investigate functional interactions among different areas of the cortex, it is biologically plausible to determine dependencies of oscillatory signals such as their phase relation both within and across areas. The chapter introduces a cluster approach algorithm to detect phase synchronization in single brain signals. The introduced synchronization index allows for the extraction of time windows, which exhibit strong phase synchronization in all examined time series. This kind of phase synchronization is highly non-stationary and is called mutual phase synchronization. Further the assessment of single trials with respect to the trial average revealed that a number of features in time–frequency space are common to different trials.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Allefeld, C., Kurths, J.: Multivariate phase synchronization analysis of EEG data. IEICE Trans. Fundam. E86-A(9), 2218–2221 (2003)

    Google Scholar 

  2. Arieli, A., Shoham, D., Hildesheim, R., Grinvald, A.: Coherent spatio-temporal pattern of on-going activity revealed by real-time optical imaging coupled with single unit recording in the cat visual cortex. J. Neurophysiol. 73, 2072–2093 (1995)

    PubMed  CAS  Google Scholar 

  3. beim Graben, P., Saddy, J.D., Schlesewsky, J.D., Kurths, J.: Symbolic dynamics of event-related brain potentials. Phys. Rev. E 62(4), 5518–5541 (2000)

    Article  CAS  Google Scholar 

  4. Boashash, B.: Estimating and interpreting the instantaneous frequency of a signal – part 1: Fundamentals. Proc. IEEE 80(4), 520–538 (1992)

    Article  Google Scholar 

  5. Breakspear, M., Terry, J.: Detection and description of nonlinear interdependence in normal multichannel human EEG. Clin. Neurophysiol. 113, 735–753 (2002)

    Article  PubMed  CAS  Google Scholar 

  6. Bressler, S.: Interareal synchronization in the visual cortex. Beh. Brain Res. 76, 37–49 (1996)

    Article  CAS  Google Scholar 

  7. Castelo-Branco, M., Neuenschwander, S., Singer, W.: Synchronization of visual response between the cortex, lateral geniculate nucleus, and retina in the anesthetized cat. J. Neurosci. 18(16), 6395–6410 (1998)

    PubMed  CAS  Google Scholar 

  8. DeShazer, D., Breban, R., Ott, E., Roy, R.: Detecting phase synchronization in a chaotic laser array. Phys. Rev. Lett. 87(4), 044101 (2001)

    Google Scholar 

  9. Duda, R., Hart, P.: Pattern Classification and Scene Analysis. Wiley, New York (1973)

    Google Scholar 

  10. Eckhorn, R., Bauer, R., Jordan, W., Brosch, M., Kruse, W., Munk, M., Reitboeck, H.: Coherent oscillations: a mechanism of feature linking in the visual cortex? multiple electrode and correlation analyses in the cat. Biol. Cybern. 60, 121–130 (1988)

    Article  PubMed  CAS  Google Scholar 

  11. Effern, A., Lehnertz, K., Fernandez, G., Grunwald, T., David P., Elger, C.: Single trial analysis of event related potentials: non-linear de-noising with wavelets. Clin. Neurophysiol. 111, 2255–2263 (2000)

    Article  PubMed  CAS  Google Scholar 

  12. Engel, A., Koenig, O., Kreiter, A., Singer, W.: Interhemispheric synchronization of oscillatory neuronal response in cat visual cortex. Science 252, 1177–1179 (1991)

    Article  Google Scholar 

  13. Frien, A., Eckhorn, R., Bauer, R., Woelbern, T., Kehr, H.: Stimulus-specific fast oscillations at zero phase between visual areas v1 and v2 of awake monkey. Neuroreport 5, 2273–2277 (1994)

    Article  PubMed  CAS  Google Scholar 

  14. Gratton, G., Coles, M., Donchin, E.: A procedure for using multi-electrode information in the analysis of components of the event-related potential: vector filter. Psychophysiology. 26, 222–232 (1989)

    Article  PubMed  CAS  Google Scholar 

  15. Grindvald, A., Arieli, A., Tsodyks, M., Kenet, T.: Neuronal assemblies: single cortical neurons are obedient members of a huge orchestra. Biopolymers 68, 422–436 (2002)

    Article  Google Scholar 

  16. Haig, A., Gordon, E., Wright, J., Meares, R., Bahramali, H.: Synchronous cortical gamma-band activity in task-relevant cognition. Neuroreport 11, 669–675 (2000)

    Article  PubMed  CAS  Google Scholar 

  17. Hutt, A.: Methoden zur Untersuchung der Dynamik raumzeitlicher Signale. MPI Series in Cognitive Neuroscience, vol. 15. PhD thesis. Max Planck-Institute of Cognitive Neuroscience, Leipzig (2001).

    Google Scholar 

  18. Hutt, A.: Spatiotemporal modelling of EEG/MEG. Brain Topogr. 14(4) (2002)

    Google Scholar 

  19. Hutt, A.: An analytical framework for modeling evoked and event-related potentials. Int. J. Bif. Chaos 14(2), 653–666 (2004)

    Article  Google Scholar 

  20. Hutt, A., Daffertshofer, A., Steinmetz, U.: Detection of mutual phase synchronization in multivariate signals and application to phase ensembles and chaotic data. Phys. Rev. E 68, 036219 (2003)

    Google Scholar 

  21. Hutt, A., Munk, M.H.: Mutual phase synchronization in single trial data. Chaos Complex. Lett. 2(2), 6 (2006)

    Google Scholar 

  22. Hutt, A., Riedel, H.: Analysis and modeling of quasi-stationary multivariate time series and their application to middle latency auditory evoked potentials. Phys. D 177, 203 (2003)

    Google Scholar 

  23. Hutt, A., Schrauf, M.: Detection of transient synchronization in multivariate brain signals, application to event-related potentials. Chaos Complex. Lett. 3(1), 1–24 (2007)

    Google Scholar 

  24. Hutt, A., Svensen, M., Kruggel, F., Friedrich, R.: Detection of fixed points in spatiotemporal signals by a clustering method. Phys. Rev. E 61(5), R4691–R4693 (2000)

    Article  CAS  Google Scholar 

  25. Hutt, A., Uhl, C., Friedrich, R.: Analysis of spatio-temporal signals: a method based on perturbation theory. Phys. Rev. E 60(2), 1350–1358 (1999)

    Article  CAS  Google Scholar 

  26. Ioannides, A., Kostopoulos, G., Laskaris, N., Liu, L., Shibata, T., Schellens, M., Poghosyan, V., Khurshudyan, A.: Timing and connectivity in the human somatosensory cortex from single trial mass electrical activity. Hum. Brain Mapp. 15, 231–246 (2002)

    Article  PubMed  Google Scholar 

  27. Karjalainen, P.A., Kaipio, J.P.: Subspace regularization method for the single-trial estimation of evoked potentials. IEEE Trans. Biomed. Eng. 46(7), 849–859 (1999)

    Article  PubMed  CAS  Google Scholar 

  28. Koch, C.: Biophysics of Computation. Oxford University Press, Oxford (1999)

    Google Scholar 

  29. Kuramoto, Y.: Chemical Oscillations, Waves, and Turbulence. Springer, Berlin (1984)

    Book  Google Scholar 

  30. Knig, P., Engel, A., Singer, W.: Relation between oscillatory activity and long-range synchronization in cat visual cortex. Proc Natl Acad Sci USA 92, 290–294 (1995)

    Article  Google Scholar 

  31. Lachaux, J.P., Rodriguez, E., Martinerie, J., Varela, F.: Measuring phase synchrony in brain signals. Hum. Brain Mapp. 8, 194–208 (1999)

    Article  PubMed  CAS  Google Scholar 

  32. Laskaris, N., Ioannides, A.: Semantic geodesic maps: a unifying geometrical approach for studying the structure and dynamics of single trial evoked responses. Clin. Neurophysiol. 113, 1209–1226 (2002)

    Article  PubMed  CAS  Google Scholar 

  33. Le Van Quyen, M., Foucher, J., Lachaux, J., Rodriguez, E., Lutz, A., Martinerie, J., Varela, F.: Comparison of hilbert transform and wavelet methods for the analysis of neuronal synchrony. J. Neurosci. Methods 111(2), 83–98 (2001)

    Article  Google Scholar 

  34. Lehmann, D., Skrandies, W.: Reference-free identification of components of checkerboard-evoked multichannel potential fields. Electroenceph. Clin. Neurophysiol. 48, 609 (1980)

    Google Scholar 

  35. Liu, F., Hu, B., Wang, W.: Effects of correlated and independant noise on signal processing in neuronal systems. Phys. Rev. E 63, 031,907 (2001)

    Google Scholar 

  36. Makeig, S., Jung, T., Bell, A., Sejnowski, T.: Blind separation of auditory event-related brain responses into independent components. Proc. Natl. Acad. Sci. 94, 10979–10984 (1997)

    Article  PubMed  CAS  Google Scholar 

  37. Makeig, S., Westerfield, M., Jung, T., Enghoff, S., Townsend, J., Courchesne, E., Sejnowski, T.: Dynamic brain sources of visual evoked responses. Science 295, 690–694 (2002)

    Article  PubMed  CAS  Google Scholar 

  38. Mardia, K., Jupp, P.: Directional Statistics. Wiley, New York (1999)

    Book  Google Scholar 

  39. Nelson, J., Salin, P., Munk, M., Arzi, M., Bullier, J.: Spatial and temporal coherence in cortico-cortical connections: a cross-correlation study in areas 17 and 18 in the cat. Vis. Neurosci. 9, 21–37 (1992)

    Article  PubMed  CAS  Google Scholar 

  40. Nowak, L., Munk, M., Nelson, J., James, A., Bullier, J.: Structural basis of cortical synchronization. i. three types of interhemispheric coupling. J. Neurophysiol. 74, 2379–2400 (1995)

    PubMed  CAS  Google Scholar 

  41. Pikovsky, A., Rosenblum, M., Kurths, J.: Phase synchronization in regular and chaotic systems. Int. J. Bif. Chaos 10(10), 2219 (2000)

    Google Scholar 

  42. Pikovsky, A., Rosenblum, M., Kurths, J.: Synchronization: a universal concept in nonlinear sciences. Cambridge University Press, Cambridge (2001)

    Book  Google Scholar 

  43. Prusseit, J., Lehnertz, K.: Stochastic qualifiers of epileptic brain dynamics. Phys. Rev. Lett. 98, 138,103 (2007)

    Google Scholar 

  44. Quian Quiroga, R., Garcia, H.: Single-trial event-related potentials with wavelet denoising. Clin. Neurophysiol. 114, 376–390 (2003)

    Article  PubMed  CAS  Google Scholar 

  45. Salin, P., Bullier, J.: Corticocortical connections in the visual system: structure and function. Physiol. Rev. 75, 107–154 (1995)

    PubMed  CAS  Google Scholar 

  46. Salinas, E., Sejnowski, T.: Correlated neuronal activity and the flow of neural information. Nat. Rev. Neurosci. 2, 539–550 (2001)

    Article  PubMed  CAS  Google Scholar 

  47. Shahl, A., Bressler, S., Knuth, K., Ding, M., Mehta, A., Ulbert, I., Schroeder, C.: Neural dynamics and the fundamental mechanisms of event-related brain potentials. Cereb. Cortex 14, 476–483 (2004)

    Article  Google Scholar 

  48. Singer, W.: Neural synchrony: a versatile code for the definition of relations? Neuron 24, 49–65 (1999)

    Article  PubMed  CAS  Google Scholar 

  49. Stam, C., Dijk, B.: Synchronization likelihood: an un-biased measure of generalized synchronization in multivariate data sets. Phys. D 163, 236–251 (2002)

    Article  Google Scholar 

  50. Steinmetz, P., Roy, A., Fitzgerald, P., Hsiao, S., Johnson, K., Niebur, E.: Attention modulates synchronized neuronal firing in primate somatosensory cortex. Nature 404, 187–190 (2000)

    Article  PubMed  CAS  Google Scholar 

  51. Tallon-Baudry, C., Mandon, S., Freiwald, W., Kreiter, A.: Oscillatory synchrony in the monkey temporal lobe correlates with performance in a visual short-term memory task. Cereb. Cortex 14, 713–720 (2004)

    Article  PubMed  Google Scholar 

  52. Tass, P., Rosenblum, M., Weule, J., Kurths, J., Pikovsky, A., Volkmann, J., Schnitzler, A., Freund, H.J.: Detection of n:m phase locking from noisy data: application to magnetoencephalography. Phys. Rev. Lett. 81(5), 3291–3294 (1998)

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. INRIA CR Nancy – Grand Est, CS20101, 54603, Villers-ls-Nancy Cedex, France

    Axel Hutt

  2. Max-Planck-Institute for Biological Cybernetics, Spemannstr. 38, 72076, Tuebingen, Germany

    Matthias H.J. Munk

Authors
  1. Axel Hutt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Matthias H.J. Munk
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Axel Hutt .

Editor information

Editors and Affiliations

  1. Inst. Medical Science, Dept. Paediatrics, University of Toronto, University Ave.555, Toronto , M5G 1X8, Canada

    Jose Luis Perez Velazquez

  2. Toronto Western Hospital, University Health Network, Bathurst Street 399, Toronto, M5T 2S8, Canada

    Richard Wennberg

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Hutt, A., Munk, M.H. (2009). Detection of Phase Synchronization in Multivariate Single Brain Signals by a Clustering Approach. In: Velazquez, J., Wennberg, R. (eds) Coordinated Activity in the Brain. Springer Series in Computational Neuroscience, vol 2. Springer, New York, NY. https://doi.org/10.1007/978-0-387-93797-7_8

Download citation

Publish with us

Policies and ethics

Search

Navigation