Source modeling of ElectroCorticoGraphy (ECoG) data: Stability analysis and spatial filtering

BACKGROUND Electrocorticography (ECoG) measures the distribution of the electrical potentials on the cortex produced by the neural currents. A full interpretation of ECoG data requires solving the ill-posed inverse problem of reconstructing the spatio-temporal distribution of the neural currents. This study addresses the ECoG source modeling developing a beamformer method. NEW METHOD We computed the lead-field matrix by using a novel routine provided by the OpenMEEG software. We performed an analysis of the numerical stability of the ECoG inverse problem by computing the condition number of the lead-field matrix for different configurations of the electrodes grid. We applied a Linear Constraint Minimum Variance (LCMV) beamformer to both synthetic data and a set of real measurements recorded during a rapid visual categorization task. RESULTS For all considered grids the condition number indicates that the ECoG inverse problem is mildly ill-conditioned. For realistic SNR we found a good performance of the LCMV algorithm for both localization and waveforms reconstruction. COMPARISON WITH EXISTING METHOD The flow of information reconstructed by analyzing real data seems consistent with both invasive monkey electrophysiology studies and non-invasive (MEG and fMRI) human studies. CONCLUSIONS Despite a growing interest from the neuroscientific community, solving the ECoG inverse problem has not quite yet reached the level of systematicity found for EEG and MEG. Starting from an analysis of the numerical stability of the problem we considered the most widely utilized method for modeling neurophysiological data based on the beamformer method in the hope to establish benchmarks for future studies.

[1]  Andreas Schulze-Bonhage,et al.  sLORETA allows reliable distributed source reconstruction based on subdural strip and grid recordings , 2012, Human brain mapping.

[2]  Denis Fize,et al.  Speed of processing in the human visual system , 1996, Nature.

[3]  Michele Piana,et al.  Particle filtering, beamforming and multiple signal classification for the analysis of magnetoencephalography time series: A comparison of algorithms , 2010 .

[4]  A. Kopman,et al.  Seminars in ANESTHESIA, PERIOPERATIVE MEDICINE AND PAIN , 2002 .

[5]  M. Fuchs,et al.  Development of Volume Conductor and Source Models to Localize Epileptic Foci , 2007, Journal of clinical neurophysiology : official publication of the American Electroencephalographic Society.

[6]  G. Kreiman,et al.  Timing, Timing, Timing: Fast Decoding of Object Information from Intracranial Field Potentials in Human Visual Cortex , 2009, Neuron.

[7]  Arjan Hillebrand,et al.  Beamformer analysis of MEG data. , 2005, International review of neurobiology.

[8]  Robert H. Halstead,et al.  Matrix Computations , 2011, Encyclopedia of Parallel Computing.

[9]  G.J.M. Huiskamp Inverse and forward modeling of interictal spikes in the EEG, MEG and ECoG , 2002, Proceedings of the Second Joint 24th Annual Conference and the Annual Fall Meeting of the Biomedical Engineering Society] [Engineering in Medicine and Biology.

[10]  Richard M. Leahy,et al.  Source localization using recursively applied and projected (RAP) MUSIC , 1997, Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136).

[11]  James J. DiCarlo,et al.  How Does the Brain Solve Visual Object Recognition? , 2012, Neuron.

[12]  J.C. Mosher,et al.  Recursive MUSIC: A framework for EEG and MEG source localization , 1998, IEEE Transactions on Biomedical Engineering.

[13]  C. Im,et al.  Evaluation of Algorithms for Intracranial EEG (iEEG) Source Imaging of Extended Sources: Feasibility of Using iEEG Source Imaging for Localizing Epileptogenic Zones in Secondary Generalized Epilepsy , 2011, Brain Topography.

[14]  Richard M. Leahy,et al.  Adaptive filters for monitoring localized brain activity from surface potential time series , 1992, [1992] Conference Record of the Twenty-Sixth Asilomar Conference on Signals, Systems & Computers.

[15]  Matthias Dümpelmann,et al.  3D source localization derived from subdural strip and grid electrodes: A simulation study , 2009, Clinical Neurophysiology.

[16]  David Poeppel,et al.  Application of an MEG eigenspace beamformer to reconstructing spatio‐temporal activities of neural sources , 2002, Human brain mapping.

[17]  C. Koch,et al.  Latency and Selectivity of Single Neurons Indicate Hierarchical Processing in the Human Medial Temporal Lobe , 2008, The Journal of Neuroscience.

[18]  Théodore Papadopoulo,et al.  OpenMEEG: opensource software for quasistatic bioelectromagnetics , 2010, Biomedical engineering online.

[19]  J.C. Mosher,et al.  Multiple dipole modeling and localization from spatio-temporal MEG data , 1992, IEEE Transactions on Biomedical Engineering.

[20]  Maher A. Quraan Characterization of Brain Dynamics Using Beamformer Techniques: Advantages and Limitations , 2011 .

[21]  Matthew J. Brookes,et al.  Beamformer reconstruction of correlated sources using a modified source model , 2007, NeuroImage.

[22]  Nathalie Chang,et al.  Dipole localization using simulated intracerebral EEG , 2005, Clinical Neurophysiology.

[23]  David Poeppel,et al.  Reconstructing spatio-temporal activities of neural sources using an MEG vector beamformer technique , 2001, IEEE Transactions on Biomedical Engineering.

[24]  Lauri Parkkonen,et al.  Dynamical MEG source modeling with multi‐target Bayesian filtering , 2009, Human brain mapping.

[25]  Fritz John,et al.  Continuous dependence on data for solutions of partial differential equations with a prescribed bound , 1960 .

[26]  Anders M. Dale,et al.  Cortical Surface-Based Analysis I. Segmentation and Surface Reconstruction , 1999, NeuroImage.

[27]  Radoslaw Martin Cichy,et al.  Resolving human object recognition in space and time , 2014, Nature Neuroscience.

[28]  Thomas Serre,et al.  A feedforward architecture accounts for rapid categorization , 2007, Proceedings of the National Academy of Sciences.

[29]  W. Drongelen,et al.  Localization of brain electrical activity via linearly constrained minimum variance spatial filtering , 1997, IEEE Transactions on Biomedical Engineering.

[30]  Douglas O. Cheyne,et al.  Reconstruction of correlated brain activity with adaptive spatial filters in MEG , 2010, NeuroImage.

[31]  Bin He,et al.  Three-dimensional brain current source reconstruction from intra-cranial ECoG recordings , 2008, NeuroImage.

[32]  G. Schalk,et al.  Brain-Computer Interfaces Using Electrocorticographic Signals , 2011, IEEE Reviews in Biomedical Engineering.

[33]  Olivier D. Faugeras,et al.  A common formalism for the Integral formulations of the forward EEG problem , 2005, IEEE Transactions on Medical Imaging.

[34]  Alberto Sorrentino,et al.  Sequential Monte Carlo samplers for semi-linear inverse problems and application to magnetoencephalography , 2014, 1409.8109.

[35]  Lori A. Schuh,et al.  Intraoperative electrocorticography and direct cortical electrical stimulation , 1997 .

[36]  H H Donaldson,et al.  LOCALIZATION IN THE BRAIN. , 1884, Science.

[37]  R. Ilmoniemi,et al.  Magnetoencephalography-theory, instrumentation, and applications to noninvasive studies of the working human brain , 1993 .

[38]  M. Murray,et al.  EEG source imaging , 2004, Clinical Neurophysiology.

[39]  Nikolaos Uzunoglu,et al.  Phased Array Radars , 2000 .