A new Kalman filter approach for the estimation of high-dimensional time-variant multivariate AR models and its application in analysis of laser-evoked brain potentials

NeuroImage

Volumn 50, Issue 3, 2010, Pages 960-969

  Milde, Thomas ^a,d   Leistritz, Lutz ^a,d   Astolfi, Laura ^b,d   Miltner, Wolfgang H R ^a,d   Weiss, Thomas ^a,d   Babiloni, Fabio ^b,c   Witte, Herbert ^a,d  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

^c IRCCS FONDAZIONE SANTA LUCIA   (Italy)

^d Bernstein Group for Computational Neurosciene Jena   (Germany)

Author keywords

AR modelling; Interacting patterns; Laser evoked potentials; Partial Granger causality index; Simulation study; State space model; Time variant structure function relationships

Indexed keywords

ARTICLE; BRAIN FUNCTION; CONTROLLED STUDY; DATA ANALYSIS; ELECTROENCEPHALOGRAPHY; EVOKED RESPONSE; INTERMETHOD COMPARISON; KALMAN FILTER TECHNIQUE; LEARNING ALGORITHM; MATHEMATICAL COMPUTING; MULTIVARIATE ANALYSIS; PRIORITY JOURNAL; RECURSIVE LEAST SQUARE; REGRESSION ANALYSIS; REPEAT PROCEDURE; STATISTICAL ANALYSIS; STATISTICAL MODEL; STRUCTURE ACTIVITY RELATION; TIME VARIANT MULTIVARIATE AUTOREGRESSIVE MODEL;

ALGORITHMS; BRAIN; COMPUTER SIMULATION; DATABASES, FACTUAL; ELECTROENCEPHALOGRAPHY; EVOKED POTENTIALS; HUMANS; LEAST-SQUARES ANALYSIS; LINEAR MODELS; MODELS, STATISTICAL; MULTIVARIATE ANALYSIS; REGRESSION ANALYSIS; SIGNAL PROCESSING, COMPUTER-ASSISTED; TIME FACTORS;

EID: 77249164492     PISSN: 10538119     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neuroimage.2009.12.110     Document Type: Article

References (36)

1. Apkarian A.V., Bushnell M.C., Treede R.D., and Zubieta J.K. Human brain mechanisms of pain perception and regulation in health and disease. Eur. J. Pain 9 (2005) 463-484
2. Arnold M., Miltner W.H.R., Witte H., Bauer R., and Braun C. Adaptive AR modeling of nonstationary time series by means of Kalman filtering. IEEE Trans. Biomed. Eng. 45 (1998) 553-562
3. Astolfi L., Cincotti F., Mattia D., Fallani F.D.V., Tocci A., Colosimo A., Salinari S., Marciani M.G., Hesse W., Witte H., Ursino M., Zavaglia M., and Babiloni F. Tracking the time-varying cortical connectivity patterns by adaptive multivariate estimators. IEEE Trans. Biomed. Eng. 55 (2008) 902-913
4. Bar-Shalom Y., and Fortmann T.E. Tracking and data association (1988), Academic Press, Boston
5. Forss N., Raij T.T., Seppa M., and Hari R. Common cortical network for first and second pain. NeuroImage 24 (2005) 132-142
6. García-Larrea L. Multimodal approaches to laser-evoked potential generators. Pain Forum 7 (1998) 216-220
7. GarciaLarrea L., Peyron R., Laurent B., and Mauguiere F. Association and dissociation between laser-evoked potentials and pain perception. Neuroreport 8 (1997) 3785-3789
8. Gelb A. Applied optimal estimation (1974), M.I.T. Press, Cambridge, Mass.
9. Golub G.H., and Van Loan C.F. Matrix computations (1983), Johns Hopkins University Press, Baltimore
10. Granger C.W.J. Investigating causal relations by econometric models and cross-spectral methods. Econometrica 37 (1969) 414-&
11. Gratton G., Coles M.G.H., and Donchin E. A new method for off-line removal of ocular artifact. Electroencephalogr. Clin. Neurophysiol. 55 (1983) 468-484
12. Haykin S.S. Adaptive filter theory (1986), Prentice-Hall, Englewood Cliffs, N.J
13. Hemmelmann D., Ungureanu M., Hesse W., Wustenberg T., Reichenbach J.R., Witte O.W., Witte H., and Leistritz L. Modelling and analysis of time-variant directed interrelations between brain regions based on BOLD-signals. NeuroImage 45 (2009) 722-737
14. Kalman R.E. A new approach to linear filtering and prediction problems. Trans. ASME J. Basic Eng. 82 Series D (1960) 35-45
15. Lenz F.A., Rios M., Chau D., Krauss G.L., Zirh T.A., and Lesser R.P. Painful stimuli evoke potentials recorded from the parasylvian cortex in humans. J. Neurophysiol. 80 (1998) 2077-2088
16. Lenz F.A., Rios M., Zirh A., Chau D., Krauss G., and Lesser R.P. Painful stimuli evoke potentials recorded over the human anterior cingulate gyrus. J. Neurophysiol. 79 (1998) 2231-2234
17. Lenz F.A., Krauss G., Treede R.D., Lee J.I., Boatman D., Crone N., Minahan R., Port J., and Rios M. Different generators in human temporal-parasylvian cortex account for subdural laser-evoked potentials, auditory-evoked potentials, and event-related potentials. Neurosci. Lett. 279 (2000) 153-156
18. Miltner W.H.R., Braun C., Arnold M., Witte H., and Taub E. Coherence of gamma-band EEG activity as a basis for associative learning. Nature 397 (1999) 434-436
19. Mobascher A., Brinkmeyer J., Warbrick T., Musso F., Wittsack H.J., Saleh A., Schnitzler A., and Winterer G. Laser-evoked potential P2 single-trial amplitudes covary with the fMRI BOLD response in the medial pain system and interconnected subcortical structures. NeuroImage 45 (2009) 917-926
20. Moller E., Schack B., Arnold M., and Witte H. Instantaneous multivariate EEG coherence analysis by means of adaptive high-dimensional autoregressive models. J. Neurosci. Methods 105 (2001) 143-158
21. Mouraux A., and Iannetti G.D. Nociceptive laser-evoked brain potentials do not reflect nociceptive-specific neural activity. J. Neurophysiol. 101 (2009) 3258-3269
22. Peyron R., Laurent B., and Garcia-Larrea L. Functional imaging of brain responses to pain. A review and meta-analysis. Neurophysiol. Clin. - Clin. Neurophysiol. 30 (2000) 263-288
23. Porro C.A. Functional imaging and pain: behavior, perception, and modulation. Neuroscientist 9 (2003) 354-369
24. Price D.D. Neuroscience-psychological and neural mechanisms of the affective dimension of pain. Science 288 (2000) 1769-1772
25. Schack B., Grieszbach G., Arnold M., and Bolten J. Dynamic cross-spectral analysis of biological signals by means of bivariate arma processes with time-dependent coefficients. Med. Biol. Eng. Comput. 33 (1995) 605-610
26. Schloegl, A., 2000. The Electroencephalogram and the Adaptive Autoregressive Model: Theory and Applications. PhD Thesis, University Graz.
27. Schoffelen J.M., and Gross J. Source connectivity analysis with MEG and EEG. Hum. Brain Mapp. 30 (2009) 1857-1865
28. Seminowicz D.A., and Davis K.D. Pain enhances functional connectivity of a brain network evoked by performance of a cognitive task. J. Neurophysiol. 97 (2007) 3651-3659
29. Siedenberg R., and Treede R.D. Laser-evoked potentials: exogenous and endogenous components. Evoked Potentials-Electroencephalogr. Clin. Neurophysiol. 100 (1996) 240-249
30. Straube T., Weiss T., Mentzel H.J., and Miltner W.H.R. Time course of amygdala activation during aversive conditioning depends on attention. NeuroImage 34 (2007) 462-469
31. Straube T., Schmidt S., Weiss T., Mentzel H.-J., and Miltner W.H.R. Dynamic activation of the anterior cingulate cortex during anticipatory anxiety. NeuroImage 44 (2009) 975-981
32. Weiss T., Hesse W., Ungureanu M., Hecht H., Leistritz L., Witte H., and Miltner W.H.R. How do brain areas communicate during the processing of noxious stimuli? An analysis of laser-evoked event-related potentials using the Granger Causality Index. J. Neurophysiol. 99 (2008) 2220-2231
33. Weiss T., Straube T., Boettcher J., Hecht H., Spohn D., and Miltner W.H.R. Brain activation upon selective stimulation of cutaneous C- and A[delta]-fibers. NeuroImage 41 (2008) 1372-1381
34. Wiech K., Kalisch R., Weiskopf N., Pleger B., Stephan K.E., and Dolan R.J. Anterolateral prefrontal cortex mediates the analgesic effect of expected and perceived control over pain. J. Neurosci. 26 (2006) 11501-11509
35. Wilkinson J.H. The algebraic eigenvalue problem (1965), Clarendon Press, Oxford
36. Winterhalder M., Schelter B., Hesse W., Schwab K., Leistritz L., Klan D., Bauer R., Timmer J., and Witte H. Comparison directed of linear signal processing techniques to infer interactions in multivariate neural systems. Signal Process. 85 (2005) 2137-2160