Assessing directed interactions from neurophysiological signals - An overview

Physiological Measurement

Volumn 32, Issue 11, 2011, Pages 1715-1724

  Lehnertz, Klaus ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

biosignals; complex networks; directed interactions; neuroscience; Synchronization; time series analysis

Indexed keywords

COMPLEX NETWORKS; DYNAMICAL SYSTEMS; HARMONIC ANALYSIS; TIME SERIES ANALYSIS;

ACTIVE FIELD; ANALYSIS TECHNIQUES; BIOSIGNALS; COUPLED DYNAMICAL SYSTEMS; DATAPOINTS; DIRECTED INTERACTIONS; NUMBER OF DATUM; SCIENTIFIC DISCIPLINE; TIME-SERIES ANALYSIS; UNDERLYING SYSTEMS;

SYNCHRONIZATION;

EID: 80055043903     PISSN: 09673334     EISSN: 13616579     Source Type: Journal    
DOI: 10.1088/0967-3334/32/11/R01     Document Type: Review

References (116)

1. Acebrón J A, Bonilla L L, Pérez Vicente C J, Ritort F and Spigler R 2005 The Kuramoto model: a simple paradigm for synchronization phenomena Rev. Mod. Phys. 77 137-85 (Pubitemid 41490657)
2. Albo Z, Viana Di Prisco G, Chen Y, Rangarajan G, Truccolo W, Feng J, Vertes R P and Ding M 2004 Is partial coherence a viable technique for identifying generators of neural oscillations? Biol. Cybern. 90 318-26 (Pubitemid 40871346)
3. Allefeld C and Kurths J 2004 An approach to multivariate synchronization analysis and its application to event-related potentials Int. J. Bifurcation Chaos Appl. Sci. Eng. 14 417-26 (Pubitemid 40242200)
4. Andrzejak R G, Chicharro D, Lehnertz K and Mormann F 2011 Using bivariate signal analysis to characterize the epileptic focus: the benefit of surrogates Phys. Rev. E 83 046203
5. Andrzejak R G, Kraskov A, Stögbauer H, Mormann F and Kreuz T 2003 Bivariate surrogate techniques: necessity, strengths, and caveats Phys. Rev. E 68 066202
6. Andrzejak R G, Ledberg A and Deco G 2006 Detecting event-related time-dependent directional couplings New J. Phys. 8 6
7. Ansari-Asl K, Senhadji L, Bellanger J-J and Wendling F 2006 Quantitative evaluation of linear and nonlinear methods characterizing interdependencies between brain signals Phys. Rev. E 74 031916
8. Arenas A, Diaz-Guilera A, Kurths J, Moreno Y and Zhou C 2008 Synchronization in complex networks Phys. Rep. 469 93-153
9. Arnhold J, Grassberger P, Lehnertz K and Elger C E 1999 A robust method for detecting interdependences: application to intracranially recorded EEG Physica D 134 419-30 (Pubitemid 129588088)
10. Astolfi L, De Vico Fallani F, Cincotti F, Mattia D, Marciani M G, Salinari S, Sweeney J, Miller G A, He B and Babiloni F 2009 Estimation of effective and functional cortical connectivity from neuroelectric and hemodynamic recordings IEEE Trans. Neural Syst. Rehabil. Eng. 17 224-33
11. Baccala L A and Sameshima K 2001 Partial directed coherence: a new concept in neural structure determination Biol. Cybern. 84 463-74 (Pubitemid 33605196)
12. Bandt C and Pompe B 2002 Permutation entropy: a natural complexity measure for time series Phys. Rev. Lett. 88 174102
13. Blekhman I I 1988 Synchronization in Science and Technology (New York: ASME Press)
14. Blinowska K J 2011 Review of the methods of determination of directed connectivity from multichannel data Med. Biol. Eng. Comput. 49 521-9
15. Boatman-Reich D, Franaszczuk P J, Korzeniewska A, Caffo B, Ritzl E K, Colwell S and Crone N E 2010 Quantifying auditory event-related responses in multichannel human intracranial recordings Front. Comput. Neurosci. 4 4
16. Boccaletti S, Kurths J, Osipov G, Valladares D L and Zhou C S 2002 The synchronization of chaotic systems Phys. Rep. 366 1-101
17. Boccaletti S, Pecora L M and Pelaez A 2001 Unifying framework for synchronization of coupled dynamical systems Phys. Rev. E 63 066219
18. Brown R and Kocarev L 2000 A unifying definition of synchronization for dynamical systems Chaos 10 344-9
19. Bullmore E and Sporns O 2009 Complex brain networks: graph theoretical analysis of structural and functional systems Nat. Rev. Neurosci. 10 186-98
20. Buzski G 2006 Rhythms of the Brain (Oxford: Oxford University Press)
21. Chicharro D and Andrzejak R G 2009 Reliable detection of directional couplings using rank statistics Phys. Rev. E 80 026217
22. Cui J, Xu L, Bressler S L, Ding M and Liang H 2008 BSMART: a MATLAB/C toolbox for analysis of multichannel neural time series Neural Netw. 21 1094-104
23. Dauwels J, Vialatte F, Musha T and Cichocki A 2010 A comparative study of synchrony measures for the early diagnosis of Alzheimer's disease based on EEG NeuroImage 49 668-93
24. David O, Cosmelli D and Friston K J 2004 Evaluation of different measures of functional connectivity using a neural mass model NeuroImage 21 659-73 (Pubitemid 38229928)
25. Ding M, Bressler S L, Yang W and Liang H 2000 Short-window spectral analysis of cortical event-related potentials by adaptive multivariate autoregressive modeling: data preprocessing, model validation, and variability assessment Biol. Cybern. 83 35
26. Eichler M 2006 On the evaluation of information flow in multivariate systems by the directed transfer function Biol. Cybern. 94 469-82
27. Fell J, Klaver P, Lehnertz K, Grunwald T, Schaller C, Elger C E and Fernandez G 2001 Human memory formation is accompanied by rhinal-hippocampal coupling and decoupling Nat. Neurosci. 4 1259-64 (Pubitemid 33135633)
28. Fine A S, Nicholls D P and Mogul D J 2010 Assessing instantaneous synchrony of nonlinear nonstationary oscillators in the brain J. Neurosci. Methods 186 42-51
29. Florin E, Gross J, Pfeifer J, Fink G R and Timmermann L 2010 The effect of filtering on Granger causality based multivariate causality measures NeuroImage 50 577-88
30. Frenzel S and Pompe B 2007 Partial mutual information for coupling analysis of multivariate time series Phys. Rev. Lett. 99 204101
31. Friston K and Buchel C 2004 Functional connectivity Human Brain Function 2nd edn ed R S J Frackowiak, K J Friston, C D Frith, R J Dolan, C J Price, S Zeki, J Ashburner and W Penny (London: Elsevier) pp 999-1018
32. Fujisaka H and Yamada T 1983 Stability theory of synchronized motion in coupled dynamical systems Prog. Theor. Phys. 69 32-47
33. Gans F, Schumann A Y, Kantelhardt J W, Penzel T and Fietze I 2009 Cross-modulated amplitudes and frequencies characterize interacting components in complex systems Phys. Rev. Lett. 102 098701
34. Glass L 2001 Synchronization and rhythmic processes in physiology Nature 410 277-84 (Pubitemid 32218701)
35. Gourevitch B, Le Bouquin-Jeannes R and Faucon G 2006 Linear and nonlinear causality between signals: methods, examples and neurophysiological applications Biol. Cybern. 95 349-69 (Pubitemid 44496817)
36. Guevara R, Velazquez J L P, Nenadovic V, Wennberg R, Senjanovic G and Dominguez L G 2005 Phase synchronization measurements using electroencephalographic recordings. What can we really say about neuronal synchrony? Neuroinformatics 4 301-14
37. Harrison L and Friston K 2004 Effective connectivity Human Brain Function 2nd edn ed R S J Frackowiak, K J Friston, C D Frith, R J Dolan, C J Price, S Zeki, J Ashburner and W Penny (London: Elsevier) pp 1019-47
38. He B, Dai Y K, Astolfi L, Babiloni F, Yuan H and Yang L 2011 eConnectome: a MATLAB toolbox for mapping and imaging of brain functional connectivity J. Neurosci. Methods 195 261-9
39. Hemmelmann D, Ungureanu M, Hesse W, Wustenberg T, Reichenbach J R, Witte O W, Witte H and Leistritz L 2009 Modelling and analysis of time-variant directed interrelations between brain regions based on BOLD-signals NeuroImage 45 722-37
40. Hesse W, Möller E, Arnold M and Schack B 2003 The use of timevariant EEG Granger causality for inspecting directed interdependencies of neural assemblies J. Neurosci. Methods 124 27-44 (Pubitemid 36315806)
41. Hlavkov-Schindler K, Palu M, Vejmelka M and Bhattacharya J 2007 Causality detection based on information-theoretic approaches in time series analysis Phys. Rep. 441 1-46
42. Horwitz B 2003 The elusive concept of brain connectivity NeuroImage 19 466-70 (Pubitemid 39665696)
43. Hramov A E and Koronovskii A A 2005 Generalized synchronization: a modified system approach Phys. Rev. E 71 067201
44. Hu S, Stead M, Dai Q and Worrell G A 2010 On the recording reference contribution to EEG correlation, phase synchorony, and coherence IEEE Trans. Syst. Man Cybern. 40 1294-304
45. Huygens (Hugenii) C 1673 Horologium Oscillatorium (Paris: Apud F Muguet)
46. Ishiguro K, Otsu N, Lungarella M and Kuniyoshi Y 2008 Detecting direction of causal interactions between dynamically coupled signals Phys. Rev. E 77 026216
47. Jamek J, Palu M and Stefanovska A 2010 Detecting couplings between interacting oscillators with time-varying basic frequencies: Instantaneous wavelet bispectrum and information theoretic approach Phys. Rev. E 81 036207
48. Jin S-H, Lin P and Hallett M 2010 Linear and nonlinear information flow based on time-delayed mutual information method and its application to corticomuscular interaction Clin. Neurophysiol. 121 392-401
49. Kantz H and Schreiber T 2003 Nonlinear Time Series Analysis 2nd edn (Cambridge: Cambridge University Press)
50. Korzeniewska A, Crainiceanu C M, Kus R, Franaszczuk P J and Crone N E 2008 Dynamics of event-related causality in brain electrical activity Hum. Brain Mapp. 29 1170-92
51. Kramer M A, Edwards E, Soltani M, Berger M S, Knight R T and Szeri A J 2004 Synchronization measures of bursting data: application to the electrocorticogram of an auditory event-related experiment Phys. Rev. E 70 011914
52. Kreuz T, Mormann F, Andrzejak R G, Kraskov A, Lehnertz K and Grassberger P 2007 Measuring synchronization in coupled model systems: a comparison of different approaches Physica D 225 29-42 (Pubitemid 44854230)
53. Lehnertz K, Bialonski S, Horstmann M-T, Krug D, Rothkegel A, Staniek M and Wagner T 2009 Synchronization phenomena in human epileptic brain networks J. Neurosci. Methods 183 42-8
54. Łeski S and Wójcik D K 2008 Inferring coupling strength from event-related dynamics Phys. Rev. E 78 041918
55. Martini M, Kranz T A, Wagner T and Lehnertz K 2011 Inferring directional interactions from transient signals with symbolic transfer entropy Phys. Rev. E 83 011919
56. Marwan N, Romano M C, Thiel M and Kurths J 2007 Recurrence plots for the analysis of complex systems Phys. Rep. 438 237-329
57. Meinecke F C, Ziehe A, Kurths J and Müller K-R 2005 Measuring phase synchronization of superimposed signals Phys. Rev. Lett. 94 084102
58. Mormann F, Osterhage H, Andrzejak R G, Weber B, Fernandez G, Fell J, Elger C E and Lehnertz K 2008 Independent delta/theta rhythms in the human hippocampus and entorhinal cortex Front. Hum. Neurosci. 2 3
59. Muskulus M, Houweling S, Verduyn-Lunel S and Daffertshofer A 2009 Functional similarities and distance properties J. Neurosci. Methods 183 31-41
60. Nawrath J, Romano M C, Thiel M, Kiss I Z, Wickramasinghe M, Timmer J, Kurths J and Schelter B 2010 Distinguishing direct from indirect interactions in oscillatory networks with multiple time scales Phys. Rev. Lett. 104 038701
61. Nolte G, Bai O, Wheaton L, Mari Z, Vorbach S and Hallett M 2004 Identifying true brain interaction from EEG data using the imaginary part of coherency Clin. Neurophysiol. 115 2292-307 (Pubitemid 39200796)
62. Nolte G, Ziehe A, Nikulin V V, Schlögl A, Krämer N, Brismar T and Müller K-R 2008 Robustly estimating the flow direction of information in complex physical systems Phys. Rev. Lett. 100 234101
63. Osipov G V, Kurths J and Zhou C 2007 Synchronization in Oscillatory Networks (Springer Series in Synergetics) (Berlin: Springer)
64. Osterhage H, Mormann F, Staniek M and Lehnertz K 2007a Measuring synchronization in the epileptic brain: a comparison of different approaches Int. J. Bifurcation Chaos Appl. Sci. Eng. 17 3539-44
65. Osterhage H, Mormann F, Wagner T and Lehnertz K 2007b Measuring the directionality of coupling: phase versus state space dynamics and application to EEG time series Int. J. Neural Syst. 17 139-48 (Pubitemid 47117605)
66. Osterhage H, Mormann F, Wagner T and Lehnertz K 2008 Detecting directional coupling in the human epileptic brain: limitations and potential pitfalls Phys. Rev. E 77 011914
67. Palu M and Stefanovska A 2003 Direction of coupling from phases of interacting oscillators: an information-theoretic approach Phys. Rev. E 67 055201
68. Palu M and Vejmelka M 2007 Directionality of coupling from bivariate time series: how to avoid false causalities and missed connections Phys. Rev. E 75 056211
69. Papana A, Kugiumtzis D and Larsson P G 2011 Reducing the bias of causality measures Phys. Rev. E 83 036207
70. Pereda E, Quiroga R Q and Bhattacharya J 2005 Nonlinear multivariate analysis of neurophysiological signals Prog. Neurobiol. 77 1-37 (Pubitemid 41654771)
71. Pikovsky A S, Rosenblum M G and Kurths J 2001 Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge: Cambridge University Press)
72. Prusseit J and Lehnertz K 2008 Measuring interdependences in dissipative dynamical systems with estimated Fokker-Planck coefficients Phys. Rev. E 77 041914
73. Quiroga R Q, Arnhold J and Grassberger P 2000 Learning driver-response relationships from synchronization patterns Phys. Rev. E 61 5142-8
74. Reijneveld J C, Ponten S C, Berendse H W and Stam C J 2007 The application of graph theoretical analysis to complex networks in the brain Clin. Neurophysiol. 118 2317-31 (Pubitemid 47539271)
75. Rodriguez E, George N, Lachaux J P, Martinerie J, Renault B and Varela F J 1999 Perception's shadow: long-distance synchronization of human brain activity Nature 397 430-3
76. Romano M C, Thiel M, Kurths J and Grebogi C 2007 Estimation of the direction of the coupling by conditional probabilities of recurrence Phys. Rev. E 76 036211
77. Rosenblum M G and Pikovsky A S 2001 Detecting direction of coupling in interacting oscillators Phys. Rev. E 64 045202
78. Rosenblum M G, Pikovsky A S and Kurths J 1996 Phase synchronization of chaotic oscillators Phys. Rev. Lett. 76 1804-7 (Pubitemid 126638871)
79. Rubinov M and Sporns O 2010 Complex network measures of brain connectivity: uses and interpretations NeuroImage 52 1059-69
80. Rulkov N F, Sushchik M M, Tsimring L S and Abarbanel H D I 1995 Generalized synchronization of chaos in directionally coupled chaotic systems Phys. Rev. E 51 980-94
81. Rummel C, Baier G and Müller M 2007 The influence of static correlations on multivariate correlation analysis of the EEG J. Neurosci. Methods 166 138-57 (Pubitemid 47374812)
82. Sazonov A V, Ho C K, Bergmans J W M, Arends J B A M, Griep P A M, Verbitskiy E A, Cluitmans P J M and Boon P A J M 2009 An investigation of the phase locking index for measuring of interdependency of cortical source signals recorded in the EEG Biol. Cybern. 100 129-46
83. Schelter B, Timmer J and Eichler M 2009 Assessing the strength of directed influences among neural signals using renormalized partial directed coherence J. Neurosci. Methods 179 121-30
84. Schelter B, Winterhalder M, Dahlhaus R, Kurths J and Timmer J 2006 Partial phase synchronization for multivariate synchronizing systems Phys. Rev. Lett. 96 208103
85. Schinkel S, Marwan N and Kurths J 2007 Order patterns recurrence plots in the analysis of ERP data Cogn. Neurodyn. 1 317-25
86. Schnitzler A and Gross J 2005 Normal and pathological oscillatory communication in the brain Nat. Rev. Neurosci. 6 285-96 (Pubitemid 40469983)
87. Schreiber T 2000 Measuring information transfer Phys. Rev. Lett. 85 461-4
88. Schreiber T and Schmitz A 2000 Surrogate time series Physica D 142 346-82
89. Schwabedal J T C and Pikovsky A 2010 Effective phase dynamics of noise-induced oscillations in excitable systems Phys. Rev. E 81 046218
90. Seth A K 2010 A MATLAB toolbox for Granger causal connectivity analysis J. Neurosci. Methods 186 262-73
91. Simon J R 1969 Reactions toward the source of stimulation J. Exp. Psychol. 81 174-6
92. Smirnov D, Schelter B, Winterhalder M and Timmer J 2007 Revealing direction of coupling between neuronal oscillators from time series: phase dynamics modeling versus partial directed coherence Chaos 17 013111
93. Smirnov D A and Andrzejak R G 2005 Detection of weak directional coupling: phase dynamics approach versus state-space approach Phys. Rev. E 61 036207
94. Smirnov D A and Bezruchko B P 2009 Detection of couplings in ensembles of stochastic oscillators Phys. Rev. E 79 046204
95. Sporns O 2010 Networks of the Brain (Cambridge, MA: MIT Press)
96. Stam C J, Nolte G and Daffertshofer A 2007 Phase lag index: assessment of functional connectivity from multi channel EEG and MEG with diminished bias from common sources Hum. Brain Mapp. 28 1178-93 (Pubitemid 350077482)
97. Staniek M and Lehnertz K 2008 Symbolic transfer entropy Phys. Rev. Lett. 100 158101
98. Staniek M and Lehnertz K 2009 Symbolic transfer entropy: inferring directionality in biosignals Biomed. Tech. 54 323-8
99. Takahashi D Y, Baccala L A and Sameshima K 2010 Information theoretic interpretation of frequency domain connectivity measures Biol. Cybern. 103 463-9
100. Thiel M, Romano M C, Kurths J, Rolfs M and Kliegl R 2006 Twin surrogates to test for complex synchronisation Europhys. Lett. 75 535-41 (Pubitemid 44328268)
101. Tognoli E and Kelso J A S 2009 Brain coordination dynamics: true and false faces of phase synchrony and metastability Prog. Neurobiol. 87 31-40
102. Uhlhaas P J and Singer W 2006 Neural synchrony in brain disorders: relevance for cognitive dysfunctions and pathophysiology Neuron 52 155-68 (Pubitemid 44466360)
103. Vakorin V A, Krakovska O A and McIntosh A R 2009 Confounding effects of indirect connections on causality estimation J. Neurosci. Methods 184 152-60
104. Varela F J, Lachaux J P, Rodriguez E and Martinerie J 2001 The brain web: phase synchronization and large-scale integration Nat. Rev. Neurosci. 2 229-39 (Pubitemid 33673064)
105. Vejmelka M and Palu M 2008 Inferring the directionality of coupling with conditional mutual information Phys. Rev. E 77 026214
106. Vicente R, Wibral M, Lindner M and Pipa G 2011 Transfer entropy - a model-free measure of effective connectivity for the neurosciences J. Comput. Neurosci. 30 45-67
107. Vlachos I and Kugiumtzis D 2010 Nonuniform state-space reconstruction and coupling detection Phys. Rev. E 82 016207
108. Wagner T, Axmacher N, Lehnertz K, Elger C E and Fell J 2010a Sleep-dependent directional coupling between human neocortex and hippocampus Cortex 46 256-63
109. Wagner T, Fell J and Lehnertz K 2010b The detection of transient directional couplings based on phase synchronization New J. Phys. 12 053031
110. Wendling F, Ansari-Asl K, Bartolomei F and Senhadji L 2009 From EEG signals to brain connectivity: a model-based evaluation of interdependence measures J. Neurosci. Methods 183 9-18
111. Wickramasinghe M and Kiss I Z 2011 Phase synchronization of three locally coupled chaotic electrochemical oscillators: enhanced phase diffusion and identification of indirect coupling Phys. Rev. E 83 016210
112. Winfree A T 1980 The Geometry of Biological Time (New York: Springer)
113. Winterhalder M, Schelter B, Hesse W, Schwab K, Leistritz L, Timmer J and Witte H 2006 Detection of directed information flow in biosignals Biomed. Tech. 51 281-7 (Pubitemid 46630703)
114. Witte H, Putsche P, Hemmelmann C, Schelenz C and Leistritz L 2008 Analysis and modeling of time-variant amplitude-frequency couplings of and between oscillations of EEG bursts Biol. Cybern. 99 139-57
115. Xie H-B, Guo J-Y and Zheng Y-P 2010 A comparative study of pattern synchronization detection between neural signals using different cross-entropy measures Biol. Cybern. 102 123-35
116. Zaveri H P, Duckrow R B and Spencer S S 2006 On the use of bipolar montages for time-series analysis of intracranial electroencephalograms Clin. Neurophysiol. 117 2102-8 (Pubitemid 44247896)