Analyzing spatio-temporal patterns of genuine cross-correlations

Journal of Neuroscience Methods

Volumn 191, Issue 1, 2010, Pages 94-100

  Rummel, Christian ^a   Müller, Markus ^b,c   Baier, Gerold ^d   Amor, Frédérique ^a   Schindler, Kaspar ^a  

^a UNIVERSITY OF BERN   (Switzerland)

^b UNIVERSIDAD AUTÓNOMA DEL ESTADO DE MORELOS   (Mexico)

^c CENTRO INTERNACIONAL DE CIENCIAS   (Mexico)

^d UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Electroencephalogram; Epilepsy; Non random and random correlation; Time series analysis

Indexed keywords

ADULT; ARTICLE; CASE REPORT; CLINICAL EVALUATION; CORRELATION ANALYSIS; CORRELATION COEFFICIENT; CROSS CORRELATION; ELECTROENCEPHALOGRAPHY; EPILEPSY; HUMAN; MALE; MULTIVARIATE ANALYSIS; PRIORITY JOURNAL; TIME SERIES ANALYSIS;

ALGORITHMS; CLUSTER ANALYSIS; ELECTROENCEPHALOGRAPHY; EPILEPSY; EVOKED POTENTIALS; HUMANS; MATHEMATICAL COMPUTING; MODELS, NEUROLOGICAL; MULTIVARIATE ANALYSIS; NEURONS; NORMAL DISTRIBUTION; RANDOM ALLOCATION; SEIZURES; SIGNAL PROCESSING, COMPUTER-ASSISTED; SOFTWARE; TIME FACTORS;

EID: 77955052184     PISSN: 01650270     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jneumeth.2010.05.022     Document Type: Article

References (26)

1. Allefeld C., Müller M., Kurths J. Eigenvalue decomposition as a generalized synchronization cluster analysis. Int J Bifurcat Chaos 2007, 17:3493-3497.
2. Anderson T. An introduction to multivariate statistical analysis 2003, Wiley.
3. Bartlett M.S. On the theoretical specification and sampling properties of autocorrelated time-series. J Roy Stat Soc B 1946, 8:27-41.
4. Bialonski S., Lehnertz K. Identifying phase synchronization clusters in spatially extended dynamical systems. Phys Rev E 2006, 74:051909.
5. Box G.E., Jenkins G.M. Time series analysis: forecasting and control 1976, Holden-Day, San Francisco.
6. Kramer M.A., Eden U.T., Cash S.S., Kolaczyk E.D. Network inference with confidence from multivariate time series. Phys Rev E 2009, 79:061916.
7. Mormann F., Andrzejak R.G., Kreuz T., Rieke C., David P., Elger C.E.,., et al. Automated detection of a preseizure state based on a decrease in synchronization in intracranial electroencephalogram recordings from epilepsy patients. Phys Rev E 2003, 67:021912.
8. Morrison D.F. Multivariate statistical methods 2005, Thomson, Belmont. 4th ed.
9. Müller M., Baier G., Galka A., Stephani U., Muhle H. Detection and characterization of changes of correlation structure in multivariate time series. Phys Rev E 2005, 71:046116.
10. Müller M., Baier G., Rummel C., Schindler K. Estimating the strength of genuine and random correlations in non-stationary multivariate time series. Eur Phys Lett 2008, 84:10009.
11. Netoff T., Schiff S. Decreased neuronal synchronization during experimental seizures. J Neurosci 2002, 22:7297-7307.
12. Osterhage H., Mormann F., Staniek M., Lehnertz K. Measuring synchronization in the epileptic brain: A comparison of different approaches. Int J Bifurcat Chaos 2007, 17:3539-3544.
13. Pereda E., Quian Quiroga R., Bhattacharya J. Nonlinear multivariate analysis of neurophysiological signals. Prog Neurobiol 2005, 77:1-37.
14. Plerou V., Gopikrishnan P., Rosenow B., Nunes Amaral L.A., Guhr T., Stanley H.E. Random matrix approach to cross correlations in financial data. Phys Rev E 2002, 65:066126.
15. Rummel C., Baier G., Müller M. Automated detection of time-dependent cross-correlation clusters in nonstationary time series. Europhys Lett 2007, 80:68004.
16. Rummel C. Quantification of intra- and inter-cluster relations in non-stationary and noisy data. Phys Rev E 2008, 77:016708.
17. Rummel C., Müller M., Schindler K. Data-driven estimates of the number of clusters in multivariate time series. Phys Rev E 2008, 78:066703.
18. Schindler K., Leung H., Elger C.E., Lehnertz K. Assessing seizure dynamics by analysing the correlation structure of multichannel intracranial EEG. Brain 2007, 130:65-77.
19. Schindler K., Elger C.E., Lehnertz K. Increasing synchronization may promote seizure termination: Evidence from status epilepticus. Clin Neurophysiol 2007, 118:1955-1968.
20. Schindler K., Bialonski S., Hostmann M.T., Elger C.E., Lehnertz K. Evolving functional network properties and synchronizability during human epileptic seizures. Chaos 2008, 18:033119.
21. Schindler K., Amor F., Gast H., Müller M., Stibal A., Mariani L,., et al. Peri-ictal correlation dynamics of high frequency (80-200Hz) intracranial EEG. Epilepsy Res 2010, 89:72-81.
22. Schreiber T., Schmitz A. Surrogate time series. Physica D 2000, 142:346-382.
23. Schreiber T., Schmitz A. Improved surrogate data for nonlinearity tests. Phys Rev Lett 1996, 77:635-638.
24. Siegel S. Non-parametric statistics for the behavioral sciences 1956, McGraw-Hill, New York.
25. Stam C. Nonlinear dynamical analysis of EEG and MEG: Review of an emerging field. Clin Neurophysiol 2005, 116:2266-2301.
26. Wendling F., Bartolomei F., Bellanger J., Bourien J., Chauvel P. Epileptic fast intracerebral activity for spatial decorrelation at seizure onset. Brain 2003, 126:1449-1459.