Abstract
Due to its high temporal resolution, electroencephalography (EEG) is widely used to study functional and effective brain connectivity. Yet, there is currently a mismatch between the vastness of studies conducted and the degree to which the employed analyses are theoretically understood and empirically validated. We here provide a simulation framework that enables researchers to test their analysis pipelines on realistic pseudo-EEG data. We construct a minimal example of brain interaction, which we propose as a benchmark for assessing a methodology’s general eligibility for EEG-based connectivity estimation. We envision that this benchmark be extended in a collaborative effort to validate methods in more complex scenarios. Quantitative metrics are defined to assess a method’s performance in terms of source localization, connectivity detection and directionality estimation. All data and code needed for generating pseudo-EEG data, conducting source reconstruction and connectivity estimation using baseline methods from the literature, evaluating performance metrics, as well as plotting results, are made publicly available. While this article covers only EEG modeling, we will also provide a magnetoencephalography version of our framework online.
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References
Acar ZA, Makeig S (2010) Neuroelectromagnetic forward head modeling toolbox. J Neurosci Methods 190(2):258–270
Astolfi L, Cincotti F, Mattia D, Marciani MG, Baccalà LA, de Vico Fallani F, Salinari S, Ursino M, Zavaglia M, Babiloni F (2006) Assessing cortical functional connectivity by partial directed coherence: simulations and application to real data. IEEE Trans Biomed Eng 53:1802–1812
Astolfi L, Cincotti F, Mattia D, Marciani MG, Baccala LA, de Vico Fallani F, Salinari S, Ursino M, Zavaglia M, Ding L, Edgar JC, Miller GA, He B, Babiloni F (2007) Comparison of different cortical connectivity estimators for high-resolution EEG recordings. Hum Brain Mapp 28(2):143–157
Astolfi L et al (2005) Assessing cortical functional connectivity by linear inverse estimation and directed transfer function: simulations and application to real data. Clin Neurophysiol 116(4):920–932
Baccalá LA, Sameshima K (2001) Partial directed coherence: a new concept in neural structure determination. Biol Cybern 84:463–474
Baillet S, Mosher JC, Leahy RM (2001a) Electromagnetic brain mapping. IEEE Signal Proc Mag 18:14–30
Baillet S, Riera JJ, Marin G, Mangin JF, Aubert J, Garnero L (2001b) Evaluation of inverse methods and head models for EEG source localization using a human skull phantom. Phys Med Biol 46(1):77–96
Barnett L, Seth AK (2014) The MVGC multivariate Granger causality toolbox: a new approach to Granger-causal inference. J Neurosci Methods 223:50–68
Barrett AB, Murphy M, Bruno MA, Noirhomme Q, Boly M, Laureys S, Seth AK (2012) Granger causality analysis of steady-state electroencephalographic signals during propofol-induced anaesthesia. PLoS One 7(1):e29072
Barttfeld P, Petroni A, Baez S, Urquina H, Sigman M, Cetkovich M, Torralva T, Torrente F, Lischinsky A, Castellanos X, Manes F, Ibanez A (2014) Functional connectivity and temporal variability of brain connections in adults with attention deficit/hyperactivity disorder and bipolar disorder. Neuropsychobiology 69(2):65–75
Benar CG, Grova C, Kobayashi E, Bagshaw AP, Aghakhani Y, Dubeau F, Gotman J (2006) EEG-fMRI of epileptic spikes: concordance with EEG source localization and intracranial EEG. Neuroimage 30(4):1161–1170
Blythe DAJ, Haufe S, Müller KR, Nikulin VV (2014) The effect of linear mixing in the EEG on hurst exponent estimation. NeuroImage 99:377–387
Bola M, Sabel BA (2015) Dynamic reorganization of brain functional networks during cognition. Neuroimage 114:398–413
Breakspear M, Brammer M, Robinson PA (2003) Construction of multivariate surrogate sets from nonlinear data using the wavelet transform. Phys D Nonlinear Phenom 182:1–22
Breakspear M, Brammer MJ, Bullmore ET, Das P, Williams LM (2004) Spatiotemporal wavelet resampling for functional neuroimaging data. Hum Brain Mapp 23(1):1–25
Brookes MJ, Hale JR, Zumer JM, Stevenson CM, Francis ST, Barnes GR, Owen JP, Morris PG, Nagarajan SS (2011) Measuring functional connectivity using MEG: methodology and comparison with fcMRI. Neuroimage 56(3):1082–1104
Brookes MJ, Woolrich MW, Barnes GR (2012) Measuring functional connectivity in MEG: a multivariate approach insensitive to linear source leakage. Neuroimage 63(2):910–920
Castaño Candamil S, Höhne J, Martinez-Vargas JD, An X-W, Castellanos-Dominguez G, Haufe S (2015) Solving the EEG inverse problem based on space-time-frequency structured sparsity constraints. Neuroimage 118:598–612
Chella F, Marzetti L, Pizzella V, Zappasodi F, Nolte G (2014) Third order spectral analysis robust to mixing artifacts for mapping cross-frequency interactions in EEG/MEG. Neuroimage 91:146–161
Cho JH, Vorwerk J, Wolters CH, Knosche TR (2015) Influence of the head model on EEG and MEG source connectivity analyses. Neuroimage 110:60–77
Colton D, Kress R (1997) Inverse acoustic and electromagnetic scattering theory. Applied Mathematical Sciences, Springer, Berlin
Dähne S, Nikulin VV, Ramírez D, Schreier PJ, Müller KR, Haufe S (2014) Finding brain oscillations with power dependencies in neuroimaging data. NeuroImage 96:334–348
Darvas F, Pantazis D, Kucukaltun-yildirim E, Leahy RM (2004) Mapping human brain function with meg and EEG: methods and validation. NeuroImage 23:289–299
De Vico Fallani F, Astolfi L, Cincotti F, Mattia D, Marciani MG, Salinari S, Kurths J, Gao S, Cichocki A, Colosimo A, Babiloni F (2007) Cortical functional connectivity networks in normal and spinal cord injured patients: evaluation by graph analysis. Hum Brain Mapp 28(12):1334–1346
Delorme A, Makeig S (2004) EEGLAB: an open source toolbox for analysis of single-trial EEG dynamics including independent component analysis. J Neurosci Methods 134(1):9–21
Delorme A, Mullen T, Kothe C, Akalin Acar Z, Bigdely-Shamlo N, Vankov A, Makeig S (2011) EEGLAB, SIFT, NFT, BCILAB, and ERICA: new tools for advanced EEG processing. Comput Intell Neurosci 2011:130714
Ding L, He B (2008) Sparse source imaging in EEG with accurate field modeling. Hum Brain Mapp 29:1053–1067
Dolan KT, Neiman A (2002) Surrogate analysis of coherent multichannel data. Phys Rev E 65(2 Pt 2):026108
Evans A, Collins D, Mills SR, Brown ED, Kelly RL, Peters T (1993) 3D statistical neuroanatomical models from 305 MRI volumes. In: Nuclear science symposium and medical imaging conference, 1993 IEEE conference record, vol. 3, pp 1813–1817
Ewald A, Marzetti L, Zappasodi F, Meinecke FC, Nolte G (2012) Estimating true brain connectivity from EEG/MEG data invariant to linear and static transformations in sensor space. NeuroImage 60(1):476–488
Ewald A, Nolte FSG (2013) Identifying causal networks of neuronal sources from eeg/meg data with the phase slope index: a simulation study. Biomed Tech 22:1–14
Fonov V, Evans A, McKinstry R, Almli C, Collins D (2009) Unbiased nonlinear average age-appropriate brain templates from birth to adulthood. NeuroImage 47:S102
Fonov V, Evans AC, Botteron K, Almli CR, McKinstry RC, Collins DL, Brain Development Cooperative GroupNeuroImage (2011) Unbiased average age-appropriate atlases for pediatric studies. NeuroImage 54(1):313–327
Geffroy D, Rivière D, Denghien I, Souedet N, Laguitton S, Cointepas Y (2011) Brainvisa: a complete software platform for neuroimaging. In: Python in Neuroscience workshop. Paris
Geweke J (1982) Measurement of linear dependence and feedback between multiple time series. J Am Stat Assoc 77(378):304–313
Gomes JM, Bedard C, Valtcheva S, Nelson M, Khokhlova V, Pouget P, Venance L, Bal T, Destexhe A (2016) Intracellular impedance measurements reveal non-ohmic properties of the extracellular medium around neurons. Biophys J 110(1):234–246
Gómez-Herrero G, Atienza M, Egiazarian K, Cantero JL (2008) Measuring directional coupling between EEG sources. NeuroImage 43:497–508
Gramfort A, Luessi M, Larson E, Engemann DA, Strohmeier D, Brodbeck C, Goj R, Jas M, Brooks T, Parkkonen L, Hamalainen M (2013a) MEG and EEG data analysis with MNE-Python. Front Neurosci 7:267
Gramfort A, Strohmeier D, Haueisen J, Hamalainen MS, Kowalski M (2013b) Time-frequency mixed-norm estimates: sparse M/EEG imaging with non-stationary source activations. Neuroimage 70:410–422
Granger C (1969) Investigating causal relations by econometric models and cross-spectral methods. Econometrica 37:424–438
Gross J, Kujala J, Hamalainen M, Timmermann L, Schnitzler A, Salmelin R (2001) Dynamic imaging of coherent sources: studying neural interactions in the human brain. Proc Natl Acad Sci USA 98(2):694–699
Grova C, Daunizeau J, Kobayashi E, Bagshaw AP, Lina JM, Dubeau F, Gotman J (2008) Concordance between distributed EEG source localization and simultaneous EEG-fMRI studies of epileptic spikes. Neuroimage 39(2):755–774
Hämäläinen M, Ilmoniemi R (1994) Interpreting magnetic fields of the brain: minimum norm estimates. Med Biol Eng Comput 32:35–42
Haufe S (2011) Towards EEG source connectivity analysis. Ph.D. thesis, Berlin Institute of Technology
Haufe S, Huang Y, Parra LC (2015) A highly detailed FEM volume conductor model of the ICBM152 average head template for EEG source imaging and tCS targeting. In: Conference proceedings IEEE engineering in medicine and biology society (In Press)
Haufe S, Nikulin V, Ziehe A, Müller K-R, Nolte G (2008) Combining sparsity and rotational invariance in EEG/MEG source reconstruction. NeuroImage 42:726–738
Haufe S, Nikulin VV, Müller K-R, Nolte G (2012a) A critical assessment of connectivity measures for EEG data: a simulation study. NeuroImage 64:120–133
Haufe S, Nikulin VV, Nolte G (2012b) Alleviating the influence of weak data asymmetries on Granger-causal analyses. In: Theis F, Cichocki A, Yeredor A, Zibulevsky M (eds) Latent variable analysis and signal separation. Lecture notes in computer science, vol 7191. Springer, Berlin, pp 25–33
Haufe S, Nikulin VV, Ziehe A, Müller K-R, Nolte G (2009) Estimating vector fields using sparse basis field expansions. In: Koller D, Schuurmans D, Bengio Y, Bottou L (eds) Advances in neural information processing systems 21, pp. 617–624. MIT Press, New York
Haufe S, Tomioka R, Dickhaus T, Sannelli C, Blankertz B, Nolte G, Müller K-R (2011) Large-scale EEG/MEG source localization with spatial flexibility. NeuroImage 54:851–859
Haufe S, Tomioka R, Nolte G, Müller K-R, Kawanabe M (2010) Modeling sparse connectivity between underlying brain sources for EEG/MEG. IEEE Trans Biomed Eng 57:1954–1963
Hipp JF, Hawellek DJ, Corbetta M, Siegel M, Engel AK (2012) Large-scale cortical correlation structure of spontaneous oscillatory activity. Nat Neurosci 15(6):884–890
Huang Y, Parra LC, Haufe S, (2015) The New York Head—a precise standardized volume conductor model for EEG source localization and tES targeting. NeuroImage. In Press
Kamiński MJ, Blinowska KJ (1991) A new method of the description of the information flow in the brain structures. Biol Cybern 65:203–210
Kiebel SJ, David O, Friston KJ (2006) Dynamic causal modelling of evoked responses in EEG/MEG with lead field parameterization. Neuroimage 30(4):1273–1284
Kiebel SJ, Garrido MI, Moran RJ, Friston KJ (2008) Dynamic causal modelling for EEG and MEG. Cogn Neurodyn 2:121–136
Korzeniewska A, Mańczak M, Kamiński M, Blinowska KJ, Kasicki S (2003) Determination of information flow direction among brain structures by a modified directed transfer function (dDTF) method. J Neurosci Methods 125(1–2):195–207
Lachaux JP, Rodriguez E, Martinerie J, Varela FJ (1999) Measuring phase synchrony in brain signals. Hum Brain Mapp 8(4):194–208
Lantz G, Spinelli L, Menendez RG, Seeck M, Michel CM (2001) Localization of distributed sources and comparison with functional MRI. Epileptic Disord Special Issue, pp 45–58
Leahy RM, Mosher JC, Spencer ME, Huang MX, Lewine JD (1998) A study of dipole localization accuracy for MEG and EEG using a human skull phantom. Electroencephalogr Clin Neurophysiol 107(2):159–173
Marin Garcia AO, Muller MF, Schindler K, Rummel C (2013) Genuine cross-correlations: which surrogate based measure reproduces analytical results best? Neural Netw 46:154–164
Marinazzo D, Liao W, Chen H, Stramaglia S (2011) Nonlinear connectivity by Granger causality. Neuroimage 58(2):330–338
Marzetti L, Del Gratta C, Nolte G (2008) Understanding brain connectivity from EEG data by identifying systems composed of interacting sources. NeuroImage 42:87–98
Mazziotta JC, Toga AW, Evans A, Fox P, Lancaster J (1995) A probabilistic atlas of the human brain: theory and rationale for its development. The international consortium for brain mapping (ICBM). NeuroImage 2 (2):89–101
Mosher JC, Leahy RM (1999) Source localization using recursively applied and projected (RAP) MUSIC. IEEE Trans Signal Proces 47:332–340
Mullen T, Acar ZA, Worrell G, Makeig S (2011) Modeling cortical source dynamics and interactions during seizure. Conf Proc IEEE Eng Med Biol Soc 2011:1411–1414
Muthuraman M et al (2014) Beamformer source analysis and connectivity on concurrent EEG and MEG data during voluntary movements. PLoS One 9(3):e91441
Nolte G, Bai O, Wheaton L, Mari Z, Vorbach S, Hallett M (2004) Identifying true brain interaction from EEG data using the imaginary part of coherency. Clin Neurophysiol 115:2292–2307
Nolte G, Ziehe A, Nikulin VV, Schlögl A, Krämer N, Brismar T, Müller KR (2008) Robustly estimating the flow direction of information in complex physical systems. Phys Rev Lett 100:234101
Nunez PL, Srinivasan R, Westdorp AF, Wijesinghe RS, Tucker DM, Silberstein RB, Cadusch PJ (1997) EEG coherency. I: statistics, reference electrode, volume conduction, laplacians, cortical imaging, and interpretation at multiple scales. Electroencephalogr Clin Neurophysiol 103:499–515
Oostenveld R, Fries P, Maris E, Schoffelen J-M (2011) FieldTrip: open source software for advanced analysis of MEG, EEG, and invasive electrophysiological data. Comput Intell Neurosci 2011:1–9
Oostenveld R, Praamstra P (2001) The five percent electrode system for high-resolution EEG and ERP measurements. Clinical Neurophysiol 112(4):713–719
Ou W, Hämäläinen MS, Golland P (2009) A distributed spatio-temporal EEG/MEG inverse solver. NeuroImage 44:932–946
Owen JP, Wipf DP, Attias HT, Sekihara K, Nagarajan SS (2012) Performance evaluation of the Champagne source reconstruction algorithm on simulated and real M/EEG data. Neuroimage 60(1):305–323
Palus M (2008) Bootstrapping multifractals: surrogate data from random cascades on wavelet dyadic trees. Phys Rev Lett 101(13):134101
Pascual-Marqui R, Michel C, Lehmann D (1994) Low resolution electromagnetic tomography: a new method for localizing electrical activity in the brain. Int J Psychophysiol 18:49–65
Pascual-Marqui RD (2007) Discrete, 3D distributed, linear imaging methods of electric neuronal activity. Part 1: exact, zero error localization. arXiv:0710.3341
Prichard D, Theiler J (1994) Generating surrogate data for time series with several simultaneously measured variables. Phys Rev Lett 73(7):951–954
Rath C, Gliozzi M, Papadakis IE, Brinkmann W (2012) Revisiting algorithms for generating surrogate time series. Phys Rev Lett 109(14):144101
Rivière D, Régis J, Cointepas Y, Papadopoulos-Orfanos D, Cachia A, Mangin J-F (2003) A freely available Anatomist/BrainVISA package for structural morphometry of the cortical sulci. In: Proceedings 9th HBM. Neuroimage 19(2). New York, p 934
Rodrigues J, Andrade A (2015) Synthetic neuronal datasets for benchmarking directed functional connectivity metrics. PeerJ 3:e923
Rubinov M, Sporns O (2010) Complex network measures of brain connectivity: uses and interpretations. Neuroimage 52(3):1059–1069
Sameshima K, Takahashi DY, Baccalá LA (2015) On the statistical performance of granger-causal connectivity estimators. Brain Inf 2:1–15
Sarvas J (1987) Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem. Phys Med Biol 32(1):11
Sasaki T, Abe M, Okumura E, Okada T, Kondo K, Sekihara K, Ide W, Kamada H (2013) Disturbed resting functional inter-hemispherical connectivity of the ventral attentional network in alpha band is associated with unilateral spatial neglect. PLoS One 8(9):e73416
Schelter B, Timmer J, Eichler M (2009) Assessing the strength of directed influences among neural signals using renormalized partial directed coherence. J Neurosci Methods 179(1):121–130
Schoffelen JM, Gross J (2009) Source connectivity analysis with MEG and EEG. Hum Brain Mapp 30:1857–1865
Shahbazi F, Ewald A, Nolte G (2015) Self-Consistent MUSIC: an approach to the localization of true brain interactions from EEG/MEG data. Neuroimage 112:299–309
Shahbazi F, Ewald A, Ziehe A, Nolte G (2010) Constructing surrogate data to control for artifacts of volume conduction for functional connectivity measures. In: Magjarevic R, Nagel JH, Supek S, Susac A (eds) 17th International conference on biomagnetism advances in biomagnetism—biomag. IFMBE proceedings, vol 28, pp 207–210. Springer, Berlin
Siegel M, Donner TH, Engel AK (2012) Spectral fingerprints of large-scale neuronal interactions. Nat Rev Neurosci 13(2):121–134
Silfverhuth MJ, Hintsala H, Kortelainen J, Seppanen T (2012) Experimental comparison of connectivity measures with simulated EEG signals. Med Biol Eng Comput 50(7):683–688
Spiegler A, Kiebel SJ, Atay FM, Knosche TR (2010) Bifurcation analysis of neural mass models: Impact of extrinsic inputs and dendritic time constants. Neuroimage 52(3):1041–1058
Stephan KE, Harrison LM, Kiebel SJ, David O, Penny WD, Friston KJ (2007) Dynamic causal models of neural system dynamics:current state and future extensions. J Biosci 32(1):129–144
Supp GG, Schlögl A, Trujillo-Barreto N, Müller MM, Gruber T (2007) Directed cortical information flow during human object recognition: analyzing induced EEG gamma-band responses in brain’s source space. PLoS One 2:e684
Tadel F, Baillet S, Mosher JC, Pantazis D, Leahy RM (2011) Brainstorm: a user-friendly application for MEG/EEG analysis. Comput Intell Neurosci 2011:879716. doi:10.1155/2011/879716
Theiler J, Eubank S, Longtin A, Galdrikian B, Farmer JD (1992) Testing for nonlinearity in time series: the method of surrogate data. Phys D 58(14):77–94
Valdes-Sosa PA, Roebroeck A, Daunizeau J, Friston K (2011) Effective connectivity: influence, causality and biophysical modeling. Neuroimage 58(2):339–361
van Mierlo P, Papadopoulou M, Carrette E, Boon P, Vandenberghe S, Vonck K, Marinazzo D (2014) Functional brain connectivity from EEG in epilepsy: seizure prediction and epileptogenic focus localization. Prog Neurobiol 121:19–35
Van Veen BD, van Drongelen W, Yuchtman M, Suzuki A (1997) Localization of brain electrical activity via linearly constrained minimum variance spatial filtering. IEEE Trans Biomed Eng 44:867–880
Velez-Perez H, Louis-Dorr V, Ranta R, Dufaut M (2008) Connectivity estimation of three parametric methods on simulated electroencephalogram signals. Conf Proc IEEE Eng Med Biol Soc 2008:2606–2609
Vicente R, Wibral M, Lindner M, Pipa G (2011) Transfer entropy-a model-free measure of effective connectivity for the neurosciences. J Comput Neurosci 30(1):45–67
Vinck M, Huurdeman L, Bosman CA, Fries P, Battaglia FP, Pennartz CM, Tiesinga PH (2015) How to detect the Granger-causal flow direction in the presence of additive noise? Neuroimage 108:301–318
Vorwerk J, Cho J-H, Rampp S, Hamer H, Knösche TR, Wolters CH (2014) A guideline for head volume conductor modeling in EEG and MEG. NeuroImage 100:590–607
Vulliemoz S, Lemieux L, Daunizeau J, Michel CM, Duncan JS (2010) The combination of EEG source imaging and EEG-correlated functional MRI to map epileptic networks. Epilepsia 51(4):491–505
Wibral M, Pampu N, Priesemann V, Siebenhuhner F, Seiwert H, Lindner M, Lizier JT, Vicente R (2013) Measuring information-transfer delays. PLoS One 8(2):e55809
Wibral M, Rahm B, Rieder M, Lindner M, Vicente R, Kaiser J (2011) Transfer entropy in magnetoencephalographic data: quantifying information flow in cortical and cerebellar networks. Prog Biophys Mol Biol 105(1–2):80–97
Winkler I, Panknin D, Bartz D, Müller K-R, Haufe S (2015) Validity of time reversal for testing Granger causality. IEEE Trans Sig Process 64(11):2746–2760
Zwoliński P, Roszkowski M, Żygierewicz J, Haufe S, Nolte G, Durka PJ (2010) Open database of epileptic EEG with MRI and postoperational assessment of foci—a real world verification for the EEG inverse solutions. Neuroinformatics 8:285–299
Acknowledgments
This work was supported by a Marie Curie International Outgoing Fellowship (Grant No. PIOF-GA-2013-625991) within the 7th European Community Framework Programme and the German Research Foundation (DFG) with SFB 936/Z3 and the BMBF (031A130). We thank Pedro Valdes-Sosa for suggesting the creation of a benchmark, Guido Nolte for contributing Matlab code, and the two Reviewers for their constructive comments.
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This is one of several papers published together in Brain Topography on the "Special Issue: Controversies in EEG Source Analysis".
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Haufe, S., Ewald, A. A Simulation Framework for Benchmarking EEG-Based Brain Connectivity Estimation Methodologies. Brain Topogr 32, 625–642 (2019). https://doi.org/10.1007/s10548-016-0498-y
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DOI: https://doi.org/10.1007/s10548-016-0498-y