Statistical analysis of single-trial granger causality spectra

Computational and Mathematical Methods in Medicine

Volumn 2012, Issue , 2012, Pages

  Brovelli, Andrea ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BRAIN; NEUROPHYSIOLOGY;

AUTO REGRESSIVE PROCESS; EXPERIMENTAL CONDITIONS; GENERAL LINEAR MODELS; GRANGER CAUSALITY ANALYSIS; LOCAL FIELD POTENTIALS; OSCILLATORY NETWORKS; STATISTICAL INFERENCE; UNIDIRECTIONAL COUPLING;

STATISTICAL TESTS;

ANALYSIS; ANALYSIS OF VARIANCE; ANIMAL EXPERIMENT; ARTICLE; BASAL GANGLION; BIVARIATE ANALYSIS; BRAIN CORTEX; CEREBELLUM; ELECTRIC POTENTIAL; ENTROPY; GRANGER CAUSALITY; LINEAR REGRESSION ANALYSIS; NEUROPHYSIOLOGY; NONHUMAN; PREFRONTAL CORTEX; PREMOTOR CORTEX; PROBABILITY; SIMULATION; STATISTICAL ANALYSIS; STATISTICAL MODEL; SUPPLEMENTARY MOTOR AREA; TASK PERFORMANCE; VISUOMOTOR COORDINATION; ANIMAL; ARTIFICIAL NEURAL NETWORK; BIOLOGICAL MODEL; COMPUTER SIMULATION; ELECTROPHYSIOLOGY; EPIDEMIOLOGY; HUMAN; MACACA MULATTA; MOTOR CORTEX; NERVE CELL NETWORK; PHYSIOLOGY; PSYCHOMOTOR PERFORMANCE;

ANIMALS; CAUSALITY; COMPUTER SIMULATION; ELECTROPHYSIOLOGICAL PHENOMENA; HUMANS; LINEAR MODELS; MACACA MULATTA; MODELS, NEUROLOGICAL; MOTOR CORTEX; NERVE NET; NEURAL NETWORKS (COMPUTER); PREFRONTAL CORTEX; PSYCHOMOTOR PERFORMANCE;

EID: 84862281697     PISSN: 1748670X     EISSN: 17486718     Source Type: Journal    
DOI: 10.1155/2012/697610     Document Type: Article

References (25)

1. Wiener N., Beckenbach E. F., The theory of prediction Modern Mathematics for Engineers 1956 1 New York, NY, USA McGraw-Hill
2. Granger C. W. J., Investigating causal relations by econometric models and cross-spectral methods Econometrica 1969 37 3 424 438
3. Geweke J., Measurement of linear dependence and feedback between multiple time series Journal of the American Statistical Association 1982 77 304 313
4. Geweke J., Measurement of linear dependence and feedback between multiple time series Journal of the American Statistical Association 1984 79 907 915
5. Dhamala M., Rangarajan G., Ding M., Estimating Granger causality from fourier and wavelet transforms of time series data Physical Review Letters 2008 100 1 4
6. Ding M., Chen Y., Bressler S. L., Winterhalder M., Schelter B., Timmer J., Granger causality: basic theory and application to neuroscience Handbook of Time Series Analysis 2006 Berlin, Germany Wiley-VCH 437 460
7. Chen Y., Bressler S. L., Ding M., Frequency decomposition of conditional Granger causality and application to multivariate neural field potential data Journal of Neuroscience Methods 2006 150 2 228 237 (Pubitemid 43144459)
8. Dhamala M., Rangarajan G., Ding M., Analyzing information flow in brain networks with nonparametric Granger causality Neuroimage 2008 41 2 354 362
9. le van Quyen M., Bragin A., Analysis of dynamic brain oscillations: methodological advances Trends in Neurosciences 2007 30 7 365 373 (Pubitemid 46991121)
10. Fries P., A mechanism for cognitive dynamics: neuronal communication through neuronal coherence Trends in Cognitive Sciences 2005 9 10 474 480 (Pubitemid 41338822)
11. Fries P., Neuronal gamma-band synchronization as a fundamental process in cortical computation Annual Review of Neuroscience 2009 32 209 224
12. Benchenane K., Tiesinga P. H., Battaglia F. P., Oscillations in the prefrontal cortex: a gateway to memory and attention Current Opinion in Neurobiology 2011 21 3 475 485
13. Brovelli A., Ding M., Ledberg A., Chen Y., Nakamura R., Bressler S. L., Beta oscillations in a large-scale sensorimotor cortical network: directional influences revealed by Granger causality Proceedings of the National Academy of Sciences of the United States of America 2004 101 26 9849 9854 (Pubitemid 38869325)
14. Bressler S. L., Menon V., Large-scale brain networks in cognition: emerging methods and principles Trends in Cognitive Sciences 2010 14 6 277 290
15. Tallon-Baudry C., Bertrand O., Oscillatory gamma activity in humans and its role in object representation Trends in Cognitive Sciences 1999 3 4 151 162 (Pubitemid 29155465)
16. Lachaux J. P., Rodrigues E., le van Queyn M., Lutz A., Martuinerie J., Varrela F., Studying single-trials of phase-synchronous activity in the brain International Journal of Bifurcation and Chaos 2000 10 10 2429 2439
17. Kiebel S. J., Tallon-Baudry C., Friston K. J., Parametric analysis of oscillatory activity as measured with EEG/MEG Human Brain Mapping 2005 26 3 170 177 (Pubitemid 41598315)
18. Miller E. K., The prefrontal cortex and cognitive control Nature Reviews Neuroscience 2000 1 1 59 65
19. Wise S. P., Murray E. A., Arbitrary associations between antecedents and actions Trends in Neurosciences 2000 23 6 271 276 (Pubitemid 30331114)
20. Graybiel A. M., Habits, rituals, and the evaluative brain Annual Review of Neuroscience 2008 31 359 387
21. Wilson G. T., The factorization of matricial spectral densities SIAM Journal on Applied Mathematics 1972 23 4 420 426
22. Wilson G. T., A convergence theorem for spectral factorization Journal of Multivariate Analysis 1978 8 2 222 232
23. Florin E., Gross J., Pfeifer J., Fink G. R., Timmermann L., Reliability of multivariate causality measures for neural data Journal of Neuroscience Methods 2011 198 2 344 358
24. Chicharro D., On the spectral formulation of Granger causality Biological Cybernetics 2011 105 5-6 331 347
25. Coull J. T., Cheng R. K., Meck W. H., Neuroanatomical and neurochemical substrates of timing Neuropsychopharmacology 2011 36 1 3 25