Access the full text.
Sign up today, get DeepDyve free for 14 days.
V. Youssofzadeh, G. Prasad, KongFatt Wong-Lin (2015)
On self-feedback connectivity in neural mass models applied to event-related potentialsNeuroImage, 108
R. Douglas, K. Martin (2004)
Neuronal circuits of the neocortex.Annual review of neuroscience, 27
(2007)
a K.E. Stephan, a R.B. Reilly,
J. Kaiser, W. Lutzenberger, H. Preissl, H. Ackermann, N. Birbaumer (2000)
Right-Hemisphere Dominance for the Processing of Sound-Source LateralizationThe Journal of Neuroscience, 20
A. Roebroeck, E. Formisano, R. Goebel (2005)
Mapping directed influence over the brain using Granger causality and fMRINeuroImage, 25
C. Bernasconi, P. König (1999)
On the directionality of cortical interactions studied by structural analysis of electrophysiological recordingsBiological Cybernetics, 81
KongFatt Wong-Lin, Xiao-Jing Wang (2006)
A Recurrent Network Mechanism of Time Integration in Perceptual DecisionsThe Journal of Neuroscience, 26
M. Dhamala, G. Rangarajan, M. Ding (2008)
Analyzing information flow in brain networks with nonparametric Granger causalityNeuroImage, 41
A. Schlögl, G. Supp (2006)
Analyzing event-related EEG data with multivariate autoregressive parameters.Progress in brain research, 159
L. Faes, G. Nollo (2010)
Extended causal modeling to assess Partial Directed Coherence in multiple time series with significant instantaneous interactionsBiological Cybernetics, 103
A. Seth (2010)
A MATLAB toolbox for Granger causal connectivity analysisJournal of Neuroscience Methods, 186
RJ Moran, SJ Kiebel, KE Stephan (2007)
A neural mass model of spectral responses in electrophysiologyNeuroImage, 37
A. Seth, Paul Chorley, L. Barnett (2013)
Granger causality analysis of fMRI BOLD signals is invariant to hemodynamic convolution but not downsamplingNeuroImage, 65
Aatira Nedungadi, G. Rangarajan, N. Jain, M. Ding (2009)
Analyzing multiple spike trains with nonparametric granger causalityJournal of Computational Neuroscience, 27
O. David, D. Cosmelli, Karl Friston (2004)
Evaluation of different measures of functional connectivity using a neural mass modelNeuroImage, 21
Juan Gao, KongFatt Wong-Lin, P. Holmes, P. Simen, J. Cohen (2009)
Sequential Effects in Two-Choice Reaction Time Tasks: Decomposition and Synthesis of MechanismsNeural Computation, 21
Karl Friston, R. Moran, A. Seth (2013)
Analysing connectivity with Granger causality and dynamic causal modellingCurrent Opinion in Neurobiology, 23
M. Essl, P. Rappelsberger (1998)
EEG cohererence and reference signals: experimental results and mathematical explanationsMedical and Biological Engineering and Computing, 36
R. Näätänen (1990)
The role of attention in auditory information processing as revealed by event-related potentials and other brain measures of cognitive functionBehavioral and Brain Sciences, 13
Daniele Marinazzo, W. Liao, Huafu Chen, S. Stramaglia (2011)
Nonlinear connectivity by Granger causalityNeuroImage, 58
J. Schoffelen, J. Gross (2009)
Source connectivity analysis with MEG and EEGHuman Brain Mapping, 30
Rui Zhou, Yuehui Li, Yuan-man Hu, Jiahuan Zhang, Miao Liu (2009)
[Protection regionalization of Houshi Forest Park based on landscape sensitivity].Ying yong sheng tai xue bao = The journal of applied ecology, 20 3
A. Bastos, W. Usrey, Rick Adams, G. Mangun, P. Fries, Karl Friston (2012)
Canonical Microcircuits for Predictive CodingNeuron, 76
L. Sommerlade, M. Thiel, B. Platt, A. Plano, G. Riedel, C. Grebogi, W. Mader, M. Mader, J. Timmer, B. Schelter (2014)
Time-variant estimation of connectivity and Kalman's filter
Daniele Marinazzo, M. Pellicoro, S. Stramaglia (2006)
Nonlinear parametric model for Granger causality of time seriesPhysical review. E, Statistical, nonlinear, and soft matter physics, 73 6 Pt 2
Michael Cohen, S. Gaal (2012)
Dynamic Interactions between Large-Scale Brain Networks Predict Behavioral Adaptation after Perceptual ErrorsCerebral Cortex (New York, NY), 23
Karl Friston (2005)
A theory of cortical responsesPhilosophical Transactions of the Royal Society B: Biological Sciences, 360
A. Vieira, Thomas Kailath (2006)
Spectral Estimation
(2016)
Neuroinform
G. Bush, P. Luu, M. Posner (2000)
Cognitive and emotional influences in anterior cingulate cortexTrends in Cognitive Sciences, 4
C. Granger (1969)
Investigating causal relations by econometric models and cross-spectral methods
B. Schelter, J. Timmer, M. Eichler (2009)
Assessing the strength of directed influences among neural signals using renormalized partial directed coherenceJournal of Neuroscience Methods, 179
S. Bressler, A. Seth (2011)
Wiener–Granger Causality: A well established methodologyNeuroImage, 58
J. Durbin, G. Watson (1950)
Testing for serial correlation in least squares regression. II.Biometrika, 38 1-2
B. Roelstraete, Y. Rosseel (2012)
Does partial Granger causality really eliminate the influence of exogenous inputs and latent variables?Journal of Neuroscience Methods, 206
O. David, S. Kiebel, L. Harrison, J. Mattout, J. Kilner, Karl Friston (2006)
Dynamic causal modeling of evoked responses in EEG and MEGNeuroImage, 30
A. Brovelli, M. Ding, A. Ledberg, Yonghong Chen, R. Nakamura, S. Bressler (2004)
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, 101 26
G. Schwarz (1978)
Estimating the Dimension of a ModelAnnals of Statistics, 6
B. Schack, P. Rappelsberger, S. Weiss, E. Möller (1999)
Adaptive phase estimation and its application in EEG analysis of word processingJournal of Neuroscience Methods, 93
M. Arnold, W. Miltner, H. Witte, R. Bauer, C. Braun (1998)
Adaptive AR modeling of nonstationary time series by means of Kalman filteringIEEE Transactions on Biomedical Engineering, 45
S. Crottaz-Herbette, V. Menon (2006)
Where and When the Anterior Cingulate Cortex Modulates Attentional Response: Combined fMRI and ERP EvidenceJournal of Cognitive Neuroscience, 18
C. Wacongne, J. Changeux, S. Dehaene (2012)
A Neuronal Model of Predictive Coding Accounting for the Mismatch NegativityThe Journal of Neuroscience, 32
R. Näätänen, R. Näätänen, P. Paavilainen, T. Rinne, K. Alho (2007)
The mismatch negativity (MMN) in basic research of central auditory processing: A reviewClinical Neurophysiology, 118
L Sommerlade, M Thiel, B Platt (2014)
Methods in brain connectivity inference through multivariate time series analysis
M. Garrido, J. Kilner, S. Kiebel, K. Stephan, Karl Friston (2007)
Dynamic causal modelling of evoked potentials: A reproducibility studyNeuroimage, 36
Anna Korzeniewska, S. Kasicki, M. Kaminski, K. Blinowska (1997)
Information flow between hippocampus and related structures during various types of rat's behaviorJournal of Neuroscience Methods, 73
R. Moran, M. Symmonds, K. Stephan, Karl Friston, R. Dolan (2011)
An In Vivo Assay of Synaptic Function Mediating Human CognitionCurrent Biology, 21
L. Baccalá, K. Sameshima (2001)
Overcoming the limitations of correlation analysis for many simultaneously processed neural structures.Progress in brain research, 130
L. Astolfi, F. Cincotti, D. Mattia, M. Marciani, L. Baccalá, F. Fallani, S. Salinari, M. Ursino, M. Zavaglia, L. Ding, J. Edgar, G. Miller, Bin He, F. Babiloni (2007)
Comparison of different cortical connectivity estimators for high‐resolution EEG recordingsHuman Brain Mapping, 28
Karl Friston, L. Harrison, W. Penny (2003)
Dynamic causal modellingNeuroImage, 19
R. Niyogi, KongFatt Wong-Lin (2013)
Dynamic Excitatory and Inhibitory Gain Modulation Can Produce Flexible, Robust and Optimal Decision-makingPLoS Computational Biology, 9
(2007)
Authors ’ Affiliations:
Karl Friston (2011)
Functional and Effective Connectivity: A ReviewBrain connectivity, 1 1
M. Ding, Yonghong Chen, S. Bressler (2006)
Granger Causality: Basic Theory and Application to NeurosciencearXiv: Quantitative Methods
Kong-Fatt Wong, A. Huk (2008)
Temporal Dynamics Underlying Perceptual Decision Making: Insights from the Interplay between an Attractor Model and Parietal NeurophysiologyFrontiers in Neuroscience, 2
N. Ancona, Daniele Marinazzo, S. Stramaglia (2004)
Radial basis function approach to nonlinear Granger causality of time series.Physical review. E, Statistical, nonlinear, and soft matter physics, 70 5 Pt 2
C. Babiloni, R. Ferri, G. Binetti, F. Vecchio, G. Frisoni, B. Lanuzza, C. Miniussi, F. Nobili, G. Rodriguez, F. Rundo, Andrea Cassarino, F. Infarinato, E. Cassetta, S. Salinari, F. Eusebi, P. Rossini (2009)
Directionality of EEG synchronization in Alzheimer's disease subjectsNeurobiology of Aging, 30
Shuixia Guo, A. Seth, K. Kendrick, Cong Zhou, Jianfeng Feng (2008)
Partial Granger causality—Eliminating exogenous inputs and latent variablesJournal of Neuroscience Methods, 172
E. Miller, J. Cohen (2001)
An integrative theory of prefrontal cortex function.Annual review of neuroscience, 24
Stephen Smith, K. Miller, G. Khorshidi, Matthew Webster, C. Beckmann, Thomas Nichols, J. Ramsey, M. Woolrich (2011)
Network modelling methods for FMRINeuroImage, 54
R. Gaillard, S. Dehaene, C. Adam, S. Clemenceau, D. Hasboun, M. Baulac, L. Cohen, L. Naccache (2009)
Converging Intracranial Markers of Conscious AccessPLoS Biology, 7
K. Mardia, C. Goodall, Edwin Redfern, F. Alonso (1998)
The Kriged Kalman filterTest, 7
M Morf, A Vieira, LD Lee (1978)
Recursive multichannel maximum entropy spectral estimationIEEE Transactions on Geoscience Electronics, 16
M. Hämäläinen, R. Ilmoniemi (2006)
Interpreting magnetic fields of the brain: minimum norm estimatesMedical & Biological Engineering & Computing, 32
T. Netoff, T. Carroll, L. Pecora, S. Schiff (2006)
Detecting Coupling in the Presence of Noise and Nonlinearity
V. Mountcastle (1957)
Modality and topographic properties of single neurons of cat's somatic sensory cortex.Journal of neurophysiology, 20 4
M. Stevens, V. Calhoun, K. Kiehl (2005)
Hemispheric differences in hemodynamics elicited by auditory oddball stimuliNeuroImage, 26
DJ Acunzo, G Mackenzie, MCW Rossum (2012)
Systematic biases in early ERP and ERF components as a result of high-pass filteringJournal of Neuroscience Methods, 209
M. Silfverhuth, H. Hintsala, J. Kortelainen, T. Seppänen (2012)
Experimental comparison of connectivity measures with simulated EEG signalsMedical & Biological Engineering & Computing, 50
K. Alho (1995)
Cerebral Generators of Mismatch Negativity (MMN) and Its Magnetic Counterpart (MMNm) Elicited by Sound ChangesEar and Hearing, 16
O. David, Karl Friston (2003)
A neural mass model for MEG/EEG: coupling and neuronal dynamicsNeuroImage, 20
H. Tiitinen, P. May, K. Reinikainen, R. Näätänen (1994)
Attentive novelty detection in humans is governed by pre-attentive sensory memoryNature, 372
(2006)
A method to produce evolving functional connectivity maps during the course of an fMRI experiment usingwavelet - based time - varyingGranger causality
(1956)
The theory of prediction (1st ed.)
M. Kaminski, P. Szerling, K. Blinowska (2010)
Comparison of methods for estimation of time-varying transmission in multichannel dataProceedings of the 10th IEEE International Conference on Information Technology and Applications in Biomedicine
C. Machens, R. Romo, C. Brody (2005)
Flexible Control of Mutual Inhibition: A Neural Model of Two-Interval DiscriminationScience, 307
M. Ding, S. Bressler, Weiming Yang, Hualou Liang (2000)
Short-window spectral analysis of cortical event-related potentials by adaptive multivariate autoregressive modeling: data preprocessing, model validation, and variability assessmentBiological Cybernetics, 83
P. Paavilainen, K. Alho, K. Reinikainen, Mikko Sams, Risto Näätänen (1991)
Right hemisphere dominance of different mismatch negativities.Electroencephalography and clinical neurophysiology, 78 6
(2013)
Connectivity of brain regions. Adaptive processing of brain signals (pp. 178–209)
I. Winkler, I. Czigler (2012)
Evidence from auditory and visual event-related potential (ERP) studies of deviance detection (MMN and vMMN) linking predictive coding theories and perceptual object representations.International journal of psychophysiology : official journal of the International Organization of Psychophysiology, 83 2
A. Barrett, M. Murphy, M. Bruno, Q. Noirhomme, M. Boly, Steven Laureys, A. Seth (2012)
Granger Causality Analysis of Steady-State Electroencephalographic Signals during Propofol-Induced AnaesthesiaPLoS ONE, 7
A. Barrett, L. Barnett, A. Seth (2010)
Multivariate Granger causality and generalized variance.Physical review. E, Statistical, nonlinear, and soft matter physics, 81 4 Pt 1
S. Haufe, V. Nikulin, K. Müller, G. Nolte (2013)
A critical assessment of connectivity measures for EEG data: A simulation studyNeuroImage, 64
Q. Luo, Wenlian Lu, W. Cheng, P. Valdés-Sosa, Xiaotong Wen, M. Ding, Jianfeng Feng (2012)
Spatio-temporal Granger causality: A new frameworkNeuroImage, 79
T. Schreiber (2000)
Measuring information transferPhysical review letters, 85 2
Yuelu Liu, A. Keil, M. Ding (2012)
Effects of emotional conditioning on early visual processing: Temporal dynamics revealed by ERP single‐trial analysisHuman Brain Mapping, 33
Luzhou Xu, P. Stoica, Jian Li, S. Bressler, Xianzhi Shao, M. Ding (2009)
ASEO: A Method for the Simultaneous Estimation of Single-Trial Event-Related Potentials and Ongoing Brain ActivitiesIEEE Transactions on Biomedical Engineering, 56
L. Barnett, A. Seth (2011)
Behaviour of Granger causality under filtering: Theoretical invariance and practical applicationJournal of Neuroscience Methods, 201
J. Mosher, R. Leahy, P. Lewis (1999)
EEG and MEG: forward solutions for inverse methodsIEEE Transactions on Biomedical Engineering, 46
John Geweke (1984)
Measures of Conditional Linear Dependence and Feedback between Time SeriesJournal of the American Statistical Association, 79
V. Youssofzadeh, D. Zanotto, P. Stegall, M. Naeem, KongFatt Wong-Lin, S. Agrawal, G. Prasad (2014)
Directed neural connectivity changes in robot-assisted gait training: A partial Granger causality analysis2014 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society
R. Kus, M. Kaminski, K. Blinowska (2004)
Determination of EEG activity propagation: pair-wise versus multichannel estimateIEEE Transactions on Biomedical Engineering, 51
John Geweke (1982)
Measurement of Linear Dependence and Feedback between Multiple Time SeriesJournal of the American Statistical Association, 77
B. Jansen, Vincent Rit (1995)
Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columnsBiological Cybernetics, 73
G. Gómez-Herrero, M. Atienza, K. Egiazarian, J. Cantero (2008)
Measuring directional coupling between EEG sourcesNeuroImage, 43
Meng Hu, Hualou Liang (2014)
A copula approach to assessing Granger causalityNeuroImage, 100
V. Youssofzadeh, G. Prasad, M. Naeem, KongFatt Wong-Lin (2013)
Partial Granger causality analysis for brain connectivity based on event related potentialsFrontiers in Neuroinformatics, 7
F. Silva, J. Pijn, P. Boeijinga (2005)
Interdependence of EEG signals: Linear vs. nonlinear Associations and the significance of time delays and phase shiftsBrain Topography, 2
Xue Wang, Yonghong Chen, M. Ding (2008)
Estimating Granger causality after stimulus onset: A cautionary noteNeuroImage, 41
M. Garrido, J. Kilner, S. Kiebel, Karl Friston (2007)
Evoked brain responses are generated by feedback loopsProceedings of the National Academy of Sciences, 104
L Xu, P Stoica, J Li (2009)
ASEO : a method for the simultaneous estimation of brain activitiesIEEE Transactions on Biomedical Engineering, 56
L. Baccalá, K. Sameshima (2001)
Partial directed coherence: a new concept in neural structure determinationBiological Cybernetics, 84
O. David, I. Guillemain, Sandrine Saillet, S. Reyt, C. Deransart, C. Segebarth, A. Depaulis (2008)
Identifying Neural Drivers with Functional MRI: An Electrophysiological ValidationPLoS Biology, 6
S Sanei (2013)
Connectivity of brain regions. Adaptive processing of brain signals
E. Möller, B. Schack, M. Arnold, H. Witte (2001)
Instantaneous multivariate EEG coherence analysis by means of adaptive high-dimensional autoregressive modelsJournal of Neuroscience Methods, 105
Karl Friston, A. Bastos, A. Oswal, Bernadette Wijk, Craig Richter, V. Litvak (2014)
Granger causality revisitedNeuroimage, 101
Shuixia Guo, Christophe Ladroue, Jianfeng Feng (2010)
Granger Causality: Theory and Applications
D. Hoyer, R. Bauer, B. Walter, U. Zwiener (1998)
Estimation of nonlinear couplings on the basis of complexity and predictability-a new method applied to cardiorespiratory coordinationIEEE Transactions on Biomedical Engineering, 45
N Wiener (1956)
The theory of prediction
TI Netoff, TL Carroll, L Pecora, SJ Schif (2006)
Handbook of time series analysis
S. Kiebel, O. David, Karl Friston (2006)
Dynamic causal modelling of evoked responses in EEG/MEG with lead field parameterizationNeuroImage, 30
A. Thomson, A. Bannister (2003)
Interlaminar connections in the neocortex.Cerebral cortex, 13 1
T. Weiss, W. Hesse, M. Ungureanu, H. Hecht, L. Leistritz, H. Witte, W. Miltner (2008)
How do brain areas communicate during the processing of noxious stimuli? An analysis of laser-evoked event-related potentials using the Granger causality index.Journal of neurophysiology, 99 5
H. Akaike (1974)
A new look at the statistical model identificationIEEE Transactions on Automatic Control, 19
Michael Reimann, C. Anastassiou, R. Perin, Sean Hill, H. Markram, C. Koch (2013)
A Biophysically Detailed Model of Neocortical Local Field Potentials Predicts the Critical Role of Active Membrane CurrentsNeuron, 79
Huaiyu Zhu (1997)
On Information and Sufficiency
V. Litvak, J. Mattout, S. Kiebel, C. Phillips, R. Henson, J. Kilner, G. Barnes, R. Oostenveld, J. Daunizeau, G. Flandin, W. Penny, Karl Friston (2011)
EEG and MEG Data Analysis in SPM8Computational Intelligence and Neuroscience, 2011
Zacharias Psaradakis, M. Ravn, M. Solá (2003)
Markov Switching Causality and the Money-Output RelationshipMonetary Economics
P. Paavilainen (2013)
The mismatch-negativity (MMN) component of the auditory event-related potential to violations of abstract regularities: a review.International journal of psychophysiology : official journal of the International Organization of Psychophysiology, 88 2
M. Garrido, J. Kilner, K. Stephan, Karl Friston (2009)
The mismatch negativity: A review of underlying mechanismsClinical Neurophysiology, 120
K. Blinowska (2011)
Review of the methods of determination of directed connectivity from multichannel dataMedical & Biological Engineering & Computing, 49
W. Hesse, E. Möller, M. Arnold, B. Schack (2003)
The use of time-variant EEG Granger causality for inspecting directed interdependencies of neural assembliesJournal of Neuroscience Methods, 124
M. Havlíček, J. Jan, M. Brázdil, V. Calhoun (2010)
Dynamic Granger causality based on Kalman filter for evaluation of functional network connectivity in fMRI dataNeuroImage, 53
S. Kiebel, J. Daunizeau, C. Phillips, Karl Friston (2008)
Variational Bayesian inversion of the equivalent current dipole model in EEG/MEGNeuroImage, 39
L. Barnett, A. Barrett, A. Seth (2009)
Granger causality and transfer entropy are equivalent for Gaussian variables.Physical review letters, 103 23
O. David, L. Harrison, Karl Friston (2005)
Modelling event-related responses in the brainNeuroImage, 25
R. Quiroga, R. Quiroga, T. Kreuz, T. Kreuz, P. Grassberger (2002)
Event synchronization: a simple and fast method to measure synchronicity and time delay patterns.Physical review. E, Statistical, nonlinear, and soft matter physics, 66 4 Pt 1
Z Psaradakis, MO Ravn, M Sola (2005)
Markov switching causality and the money-output relationshipJournal of Applied Ecology, 20
M. Buhmann (2010)
Radial basis functionScholarpedia, 5
M. Giard, F. Perrin, J. Pernier, P. Bouchet (1990)
Brain generators implicated in the processing of auditory stimulus deviance: a topographic event-related potential study.Psychophysiology, 27 6
S. Huettel, Peter Mack, G. McCarthy (2002)
Perceiving patterns in random series: dynamic processing of sequence in prefrontal cortexNature Neuroscience, 5
Shuixia Guo, Jianhua Wu, M. Ding, Jianfeng Feng (2008)
Uncovering Interactions in the Frequency DomainPLoS Computational Biology, 4
Partial Granger causality (PGC) has been applied to analyse causal functional neural connectivity after effectively mitigating confounding influences caused by endogenous latent variables and exogenous environmental inputs. However, it is not known how this connectivity obtained from PGC evolves over time. Furthermore, PGC has yet to be tested on realistic nonlinear neural circuit models and multi-trial event-related potentials (ERPs) data. In this work, we first applied a time-domain PGC technique to evaluate simulated neural circuit models, and demonstrated that the PGC measure is more accurate and robust in detecting connectivity patterns as compared to conditional Granger causality and partial directed coherence, especially when the circuit is intrinsically nonlinear. Moreover, the connectivity in PGC settles faster into a stable and correct configuration over time. After method verification, we applied PGC to reveal the causal connections of ERP trials of a mismatch negativity auditory oddball paradigm. The PGC analysis revealed a significant bilateral but asymmetrical localised activity in the temporal lobe close to the auditory cortex, and causal influences in the frontal, parietal and cingulate cortical areas, consistent with previous studies. Interestingly, the time to reach a stable connectivity configuration (~250–300 ms) coincides with the deviation of ensemble ERPs of oddball from standard tones. Finally, using a sliding time window, we showed higher resolution dynamics of causal connectivity within an ERP trial. In summary, time-domain PGC is promising in deciphering directed functional connectivity in nonlinear and ERP trials accurately, and at a sufficiently early stage. This data-driven approach can reduce computational time, and determine the key architecture for neural circuit modelling.
Neuroinformatics – Springer Journals
Published: Oct 15, 2015
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.