Magnetoencephalography and its Achilles' heel

Magnetoencephalography (MEG) has practically unlimited temporal resolution. Fundamental physical reasons, however, restrict the capability of MEG to separate simultaneously active sources. After a brief tutorial introduction into MEG, various aspects of spatial resolution are reviewed with the help of examples. First the estimation of a single current dipole is examined. A consideration of the resolution field shows that the spatial selectivity of the estimated dipole moment is highly dependent on methodological issues. A subsequent consideration of various two-dipole configurations illustrates how the topography of the magnetic field depends on the distance between the two dipoles and their relative orientations. The resolution fields associated with the estimation of the dipole moments reveal a strong interference for closely spaced dipoles. A simple model suggests that the standard deviations of the estimated moments are inversely proportional to the distance of the dipoles. Spatial information provided by techniques like functional magnetic resonance imaging (fMRI) could help to overcome problems resulting from the limited spatial resolution of MEG (multimodal integration). But a straightforward synthesis, according to the principle that fMRI provides the spatial structure of the sources and MEG adds the temporal information, is probably doomed to failure in many situations. A serious dilemma, among other problems, is that the fMRI signal generally represents a temporal integral over several seconds: The knowledge that a certain brain region was active sometime or other is not necessarily helpful for disentangling the MEG activity within a specified short time window. An intriguing fact is that the spatio-temporal pattern of the MEG signals can be considered as a signature of the brain which is suitable for hypothesis testing with high temporal and spatial resolution.

[1]  B. Lutkenhoner Dipole separability in a neuromagnetic source analysis , 1998, IEEE Transactions on Biomedical Engineering.

[2]  B. Neil Cuffin,et al.  Magnetic fields produced by models of biological current sources , 1977 .

[3]  H. Helmholtz Ueber einige Gesetze der Vertheilung elektrischer Ströme in körperlichen Leitern mit Anwendung auf die thierisch‐elektrischen Versuche , 1853 .

[4]  R. Grave de Peralta Menendez,et al.  The resolution-field concept , 1997 .

[5]  E J Speckmann,et al.  Mechanisms underlying the generation of cortical field potentials. , 1991, Acta oto-laryngologica. Supplementum.

[6]  G. Backus,et al.  Uniqueness in the inversion of inaccurate gross Earth data , 1970, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[7]  W. Freeman Use of Spatial Deconvolution to Compensate for Distortion of EEG by Volume Conduction , 1980, IEEE Transactions on Biomedical Engineering.

[8]  John W Belliveau,et al.  Monte Carlo simulation studies of EEG and MEG localization accuracy , 2002, Human brain mapping.

[9]  B. Roth,et al.  The magnetic field of cortical current sources: the application of a spatial filtering model to the forward and inverse problems. , 1990, Electroencephalography and clinical neurophysiology.

[10]  C. Michel,et al.  Linear inverse solutions with optimal resolution kernels applied to electromagnetic tomography , 1997, Human brain mapping.

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

[12]  Stephen E. Robinson Theory and Properties of Lead Field Synthesis Analysis , 1989 .

[13]  K. Sekihara,et al.  Maximum-likelihood estimation of current-dipole parameters for data obtained using multichannel magnetometer , 1992, IEEE Transactions on Biomedical Engineering.

[14]  M. Alexander,et al.  Principles of Neural Science , 1981 .

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

[16]  Samuel J. Williamson,et al.  Advances in Biomagnetism , 1990, Springer US.

[17]  W. Menke Geophysical data analysis : discrete inverse theory , 1984 .

[18]  R. Hari,et al.  Spatial resolution of neuromagnetic records: theoretical calculations in a spherical model. , 1988, Electroencephalography and clinical neurophysiology.

[19]  M. Wildner,et al.  In memory of William of Occam , 1999, The Lancet.

[20]  J. Vrba,et al.  Signal processing in magnetoencephalography. , 2001, Methods.

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

[22]  Gabriel Curio,et al.  Current multipole expansion to estimate lateral extent of neuronal activity: a theoretical analysis , 2000, IEEE Trans. Biomed. Eng..

[23]  K. A. Semendyayev,et al.  Handbook of mathematics , 1985 .

[24]  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).

[25]  Se Robinson,et al.  Functional neuroimaging by Synthetic Aperture Magnetometry (SAM) , 1999 .

[26]  B. Lutkenhoner Current dipole localization with an ideal magnetometer system , 1996, IEEE Transactions on Biomedical Engineering.

[27]  B. Roth,et al.  Magnetic determination of the spatial extent of a single cortical current source: a theoretical analysis. , 1988, Electroencephalography and clinical neurophysiology.

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

[29]  D. Cohen,et al.  Demonstration of useful differences between magnetoencephalogram and electroencephalogram. , 1983, Electroencephalography and clinical neurophysiology.

[30]  Rolando Grave de Peralta Menendez,et al.  Backus and gilbert method for vector fields , 1999 .

[31]  R. Leahy,et al.  On MEG forward modelling using multipolar expansions. , 2002, Physics in medicine and biology.

[32]  R. Wijesinghe,et al.  Spatial Filter Approach for Comparison of the Forward and Inverse Problems of Electroencephalography and Magnetoencephalography , 2001, Annals of Biomedical Engineering.

[33]  T. Koenig,et al.  Brain electric microstates and momentary conscious mind states as building blocks of spontaneous thinking: I. Visual imagery and abstract thoughts. , 1998, International journal of psychophysiology : official journal of the International Organization of Psychophysiology.

[34]  Richard M. Leahy,et al.  Electromagnetic brain mapping , 2001, IEEE Signal Process. Mag..

[35]  W. Orrison,et al.  Magnetic source imaging in stereotactic and functional neurosurgery. , 1999, Stereotactic and functional neurosurgery.

[36]  Lisa M Bellini,et al.  William of Occam and Occam's razor. , 2002, Annals of internal medicine.

[37]  G Curio,et al.  On the calculation of magnetic fields based on multipole modeling of focal biological current sources. , 1997, Biophysical journal.

[38]  C J Aine,et al.  Spatio‐temporal modeling of neuromagnetic data: I. Multi‐source location versus time‐course estimation accuracy , 1997, Human brain mapping.

[39]  S. Supek,et al.  Simulation studies of multiple dipole neuromagnetic source localization: model order and limits of source resolution , 1993, IEEE Transactions on Biomedical Engineering.

[40]  W. Singer,et al.  Excitatory synaptic ensemble properties in the visual cortex of the macaque monkey: A current source density analysis of electrically evoked potentials , 1979, The Journal of comparative neurology.

[41]  E. R. Flynn,et al.  Factors which affect spatial resolving power in large array biomagnetic sensors , 1994 .

[42]  Y. Okada,et al.  Synchronized spikes of thalamocortical axonal terminals and cortical neurons are detectable outside the pig brain with MEG. , 2002, Journal of neurophysiology.

[43]  B. Lutkenhoner,et al.  Dipole source localization by means of maximum likelihood estimation I. Theory and simulations. , 1998 .

[44]  M. Scherg,et al.  Comparison between different approaches to the biomagnetic inverse problem — workshop report , 2000 .

[45]  Robert Plonsey,et al.  Bioelectromagnetism: Principles and Applications of Bioelectric and Biomagnetic Fields , 1995 .

[46]  Dietrich Lehmann,et al.  Millisecond by Millisecond, Year by Year: Normative EEG Microstates and Developmental Stages , 2002, NeuroImage.

[47]  N. Logothetis,et al.  Neurophysiological investigation of the basis of the fMRI signal , 2001, Nature.

[48]  Gabriel Curio,et al.  Somatotopic source arrangement of 600 Hz oscillatory magnetic fields at the human primary somatosensory hand cortex , 1997, Neuroscience Letters.

[49]  B.D. Van Veen,et al.  Beamforming: a versatile approach to spatial filtering , 1988, IEEE ASSP Magazine.

[50]  M. E. Spencer,et al.  Error bounds for EEG and MEG dipole source localization. , 1993, Electroencephalography and clinical neurophysiology.

[51]  J. Sarvas Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem. , 1987, Physics in medicine and biology.

[52]  C D Tesche,et al.  Signal-space projections of MEG data characterize both distributed and well-localized neuronal sources. , 1995, Electroencephalography and clinical neurophysiology.

[53]  C. Schroeder,et al.  A spatiotemporal profile of visual system activation revealed by current source density analysis in the awake macaque. , 1998, Cerebral cortex.

[54]  Bernd Lütkenhöner Magnetic field arising from current dipoles randomly distributed in a homogeneous spherical volume conductor , 1994 .

[55]  M. Viberg,et al.  Two decades of array signal processing research: the parametric approach , 1996, IEEE Signal Process. Mag..

[56]  E. Halgren,et al.  Spatiotemporal mapping of brain activity by integration of multiple imaging modalities , 2001, Current Opinion in Neurobiology.