Abstract
Neuroelectromagnetic source imaging (NSI) is the scientific field devoted to modeling and estimating the spatiotemporal dynamics of the neuronal currents that generate the electric potentials and magnetic fields measured with electromagnetic (EM) recording technologies. Unlike functional magnetic resonance imaging (fMRI), which is indirectly related to neuroelectrical activity through neurovascular coupling [e.g., the blood oxygen level-dependent (BOLD) signal], EM measurements directly relate to the electrical activity of neuronal populations. In the past few decades, researchers have developed a great variety of source estimation techniques that are well informed by anatomy, neurophysiology, and the physics of volume conduction. State-of-the-art approaches can resolve many simultaneously active brain regions and their single trial dynamics and can even reveal the spatial extent of local cortical current flows.
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References
Adrian, E., Mathews, B. The Berger rhythm: Potential changes from the occipital lobes in man. Brain 57, 355–385 (1934)
Ahlfors, S.P., Ilmoniemi, R.J., Hamalainen, M.S. Estimates of visually evoked cortical currents. Electroencephalogr Clin Neurophysiol 82(3), 225–236 (1992)
Akalin-Acar, Z., Gencer, N.G. An advanced boundary element method (BEM) implementation for the forward problem of electromagnetic source imaging. Phys Med Biol 49(21), 5011–5028 (2004)
Attal, Y., Bhattacharjee, M., Yelnik, J., Cottereau, B., Lefvre, J., Okada, Y., Bardinet, E., Chupin, M., Baillet, S. Modeling and detecting deep brain activity with MEG & EEG. Conf Proc IEEE Eng Med Biol Soc, 4937–4940 (2007)
Auranen, T., Nummenmaa, A., Hamalainen, M.S., Jaaskelainen, I.P., Lampinen, J., Vehtari, A., Sams, M. Bayesian analysis of the neuromagnetic inverse problem with lp-norm priors. NeuroImage 26(3), 870–884 (2005)
Baillet, S., Mosher, J.C., Leahy, R.M. Electromagnetic brain mapping. IEEE Signal Process Mag 18(6), 14–30 (2001)
Bell, A.J., Sejnowski, T.J. An information-maximization approach to blind separation and blind deconvolution. Neural Comput 7(6), 1129–1159 (1995)
Berger, H. Über das Elektroenkephalogramm des Menschen. Archiv für Psychiatrie und Nervenkrankheiten 87, 527–570 (1929)
Bertrand, C., Ohmi, M., Suzuki, R., Kado, H. A probabilistic solution to the MEG inverse problem via MCMC methods: The reversible jump and parallel tempering algorithms. IEEE Trans Biomed Eng 48(5), 533–542 (2001)
Bolton, J.P.R., Gross, J., Liu, A.K., Ioannides, A.A. SOFIA: Spatially optimal fast initial analysis of biomagnetic signals. Phys Med Biol 44, 87–103 (1999)
Canolty, R.T., Edwards, E., Dalal, S.S., Soltani, M., Nagarajan, S.S., Kirsch, H.E., Berger, M.S., Barbaro, N.M., Knight, R.T. High gamma power is phase-locked to theta oscillations in human neocortex. Science 313(5793), 1626–1628 (2006)
Cohen, D. Magnetoencephalography: Evidence of magnetic fields produced by alpha-rhythm currents. Science 161, 784–786 (1968)
Cohen, D. Magnetoencephalography: Detection of the brain's electrical activity with a superconducting magnetometer. Science 175, 664–666 (1972)
Cotter, S.F., Rao, B.D., Engan, K., Kreutz-Delgado, K. Sparse solutions to linear inverse problems with multiple measurement vectors. IEEE Trans Signal Process 53(7), 2477–2488 (2005)
Dale, A.M., Liu, A.K., Fischl, B.R., Buckner, R.L., Belliveau, J.W., Lewine, J.D., Halgren, E. Dynamic statistical parametric mapping: Combining fMRI and MEG for high-resolution imaging of cortical activity. Neuron 26(1), 55–67 (2000)
Darvas, F., Ermer, J.J., Mosher, J.C., Leahy, R.M. Generic head models for atlas-based EEG source analysis. Hum Brain Mapp 27(2), 129–143 (2006)
Dogdas, B., Shattuck, D.W., Leahy, R.M. Segmentation of skull and scalp in 3-D human MRI using mathematical morphology. Hum Brain Mapp 26(4), 273–285 (2005)
Friston, K.J., Penny, W., Phillips, C., Kiebel, S., Hinton, G., Ashburner, J. Classical and Bayesian inference in neuroimaging: Theory. NeuroImage 16(2), 465–483 (2002)
Fuchs, M., Kastner, J., Wagner, M., Hawes, S., Ebersole, J.S. A standardized boundary element method volume conductor model. Clin Neurophysiol 113(5), 702–712 (2002)
Fuchs, M., Wagner, M., Kohler, T., Wischmann, H.A. Linear and nonlinear current density reconstructions. J Clin Neurophysiol 16(3), 267–295 (1999)
Gencer, N.G., Williamson, S.J. Differential characterization of neural sources with the bimodal truncated SVD pseudo-inverse for EEG and MEG measurements. IEEE Trans Biomed Eng 45(7), 827–838 (1998)
George, J.S., Aine, C.J., Mosher, J.C., Schmidt, D.M., Ranken, D.M., Schlitt, H.A., Wood, C.C., Lewine, J.D., Sanders, J.A., Belliveau, J.W. Mapping function in the human brain with magnetoencephalography, anatomical magnetic resonance imaging, and functional magnetic resonance imaging. J Clin Neurophysiol 12(5), 406–431 (1995)
Golub, G.H. , van Loan, C.F. Matrix Computations, 3rd edn. Johns Hopkins University Press, Baltimore, MD (1996)
Goncalves, S.I., deMunck, J.C., Verbunt, J.P.A., Bijma, F., Heethaar, R.M., da Silva, F.L. In vivo measurement of the brain and skull resistivities using an EIT-based method and realistic models for the head. IEEE Trans Biomed Eng 50(6), 754–767 (2003)
Gorodnitsky, I., Rao, B.D. Sparse signal reconstruction from limited data using FOCUSS: A re-weighted minimum norm algorithm. IEEE Trans Signal Process 45(3), 600–616 (1997)
Gorodnitsky, I.F., George, J.S., Rao, B.D. Neuromagnetic source imaging with FOCUSS: A recursive weighted minimum norm algorithm. Electroencephalogr Clin Neurophysiol 95(4), 231–251 (1995)
Grave de Peralta Menendez, R., Gonzalez Andino, S.L. Backus and Gilbert method for vector fields. Hum Brain Mapp 7(3), 161–165 (1999)
Gross, J., Ioannides, A.A. Linear transformations of data space in MEG. Phys Med Biol 44(8), 2081–2097 (1999)
Gross, J., Kujala, J., Hamalainen, M., Timmermann, L., Schnitzler, A., Salmelin, R. Dynamic imaging of coherent sources: Studying neural interactions in the human brain. Proc Natl Acad Sci USA 98(2), 694–699 (2001)
Halchenko, Y.O., Hanson, S.J., Pearlmutter, B.A. Multimodal integration: fMRI, MRI, EEG, MEG. In: Landini, L., Positano, V., Santarelli, M.F. (eds.) Advanced Image Processing in Magnetic Resonance Imaging, Signal Processing and Communications, pp. 223–265. Dekker, New York (2005)
Hamalainen, M., Hari, R., Ilmoniemi, R., Knuutila, J., Lounasmaa, O. Magnetoencephalography – theory, instrumentation, and applications to noninvasive studies of the working human brain. Rev Mod Phys 65(2), 413–497 (1993)
Hamalainen, M., Sarvas, J. Feasibility of the homogenous head model in the interpretation of the magnetic fields. Phys Med Biol 32, 91–97 (1987)
von Helmholtz, H. Ueber einige Gesetze der Vertheilung elektrischer Strome in korperlichen Leitern, mit Anwendung auf die thierisch-elektrischen Versuche. Ann Phys Chem 89, 211–233, 353–377 (1853)
Hillebrand, A., Barnes, G.R. The use of anatomical constraints with MEG beamformers. NeuroImage 20(4), 2302–2313 (2003)
Huang, M., Aine, C.J., Supek, S., Best, E., Ranken, D., Flynn, E.R. Multi-start downhill simplex method for spatio-temporal source localization in magnetoencephalography. Electroencephalogr Clin Neurophysiol 108(1), 32–44 (1998)
Huang, M.X., Mosher, J.C., Leahy, R.M. A sensor-weighted overlapping-sphere head model and exhaustive head model comparison for MEG. Phys Med Biol 44(2), 423–440 (1999)
Hubbard, J.I., Llinás, R.R., Quastel, D.M.J. Electrophysiological Analysis of Synaptic Transmission. Edward Arnold, London (1969)
Ioannides, A.A., Bolton, J.P., Clarke, C.J.S. Continuous probabilistic solutions to the biomagnetic inverse problem. Inverse Probl 6, 523–542 (1990)
Jerbi, K., Mosher, J.C., Baillet, S., Leahy, R.M. On MEG forward modelling using multipolar expansions. Phys Med Biol, 47(4), 523–555 (Feb 2002)
Lachaux, J.P., Rudrauf, D., Kahane, P. Intracranial EEG and human brain mapping. J Physiol (Paris) 97, 613–628 (2003)
Liu, A.K., Dale, A.M., Belliveau, J.W. Monte Carlo simulation studies of EEG and MEG localization accuracy. Hum Brain Mapp 16(1), 47–62 (2002)
Liu, L., Ioannides, A.A., Streit, M. Single trial analysis of neurophysiological correlates of the recognition of complex objects and facial expressions of emotion. Brain Topogr 11(4), 291–303 (1999)
Luck, S.J. An Introduction to the Event-Related Potential Technique. MIT Press, Cambridge, MA (2005)
Mackay, D.J.C. Bayesian interpolation. Neural Comput 4(3), 415–447 (1992)
MacKay, D.J.C. Comparison of approximate methods for handling hyperparameters. Neural Comput 11(5), 1035–1068 (1999)
Makeig, S., Jung, T.P., Bell, A.J., Ghahremani, D., Sejnowski, T.J. Blind separation of auditory event-related brain responses into independent components. Proc Natl Acad Sci USA 94(20), 10979–10984 (1997)
Makeig, S., RamÃrez, R.R. Neuroelectromagnetic source imaging (NSI) toolbox and EEGLAB module. Proceedings of the 37th Annual Meeting of the Society for Neuroscience, San Diego, CA (2007)
Makeig, S., Westerfield, M., Jung, T.P., Enghoff, S., Townsend, J., Courchesne, E., Sejnowski, T.J. Dynamic brain sources of visual evoked responses. Science 295(5555), 690–694 (2002)
Matsuura, K., Okabe, Y. Selective minimum-norm solution of the biomagnetic inverse problem. IEEE Trans Biomed Eng 42(6), 608–615 (1995)
Mattout, J., Phillips, C., Penny, W.D., Rugg, M.D., Friston, K.J. MEG source localization under multiple constraints: An extended Bayesian framework. NeuroImage 30(3), 753–767 (2006)
Mitra, P.P., Maniar, H. Concentration maximization and local basis expansions (LBEX) for linear inverse problems. IEEE Trans Biomed Eng 53(9), 1775–1782 (2006)
Mosher, J.C., Leahy, R.M. Recursive MUSIC: A framework for EEG and MEG source localization. IEEE Trans Biomed Eng 45(11), 1342–1354 (1998)
Mosher, J.C., Lewis, P.S., Leahy, R.M. Multiple dipole modeling and localization from spatio-temporal MEG data. IEEE Trans Biomed Eng 39(6), 541–557 (1992)
Murakami, S., Okada, Y. Contributions of principal neocortical neurons to magnetoencephalography and electroencephalography signals. J Physiol 575(Pt 3), 925–936 (2006)
Neal, R.M. Bayesian Learning for Neural Networks. Springer, New York; Secaucus, NJ (1996)
Nguyen, N., Milanfar, P., Golub, G. Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement. IEEE Trans Image Process 10(9), 1299–1308 (2001)
Nicholson, C., Llinas, R. Field potentials in the alligator cerebellum and theory of their relationship to Purkinje cell dendritic spikes. J Neurophysiol 34(4), 509–531 (1971)
Niedermeyer, E., Lopes da Silva, F. Electroencephalography: Basic Principles, Clinical Applications, and Related Fields. Williams ' Wilkins, Philadelphia, PA (2005)
Nummenmaa, A., Auranen, T., Hamalainen, M.S., Jaaskelainen, I.P., Lampinen, J., Sams, M., Vehtari, A. Hierarchical Bayesian estimates of distributed MEG sources: Theoretical aspects and comparison of variational and MCMC methods. NeuroImage 35(2), 669–685 (2007)
Nummenmaa, A., Auranen, T., Hamalainen, M.S., Jaaskelainen, I.P., Sams, M., Vehtari, A., Lampmen, J. Automatic relevance determination based hierarchical Bayesian MEG inversion in practice. NeuroImage 37(3), 876–889 (2007)
Nunez, P.L., Srinivasan, R. Electric Fields of the Brain: The Neurophysics of EEG. Oxford University Press, New York (2006)
Okada, Y. Empirical bases for constraints in current-imaging algorithms. Brain Topogr 5(4), 373–377 (1993)
Okada, Y.C., Wu, J., Kyuhou, S. Genesis of MEG signals in a mammalian CNS structure. Electroencephalogr Clin Neurophysiol 103(4), 474–485 (1997)
Parra, L.C., Spence, C.D., Gerson, A.D., Sajda, P. Recipes for the linear analysis of EEG. NeuroImage 28(2), 326–341 (2005)
Pascual-Marqui, R.D. Standardized low-resolution brain electromagnetic tomography (sLORETA): Technical details. Methods Find Exp Clin Pharmacol 24 Suppl D, 5–12 (2002)
Pascual-Marqui, R.D., Lehmann, D., Koenig, T., Kochi, K., Merlo, M.C., Hell, D., Koukkou, M. Low resolution brain electromagnetic tomography (LORETA) functional imaging in acute, neuroleptic-naive, first-episode, productive schizophrenia. Psychiatry Res 90(3), 169–179 (1999)
Penfield, W., Jasper, H.H. Epilepsy and the Functional Anatomy of the Human Brain. Little, Brown, Boston (1954)
Phillips, C., Mattout, J., Rugg, M.D., Maquet, P., Friston, K.J. An empirical Bayesian solution to the source reconstruction problem in EEG. NeuroImage 24(4), 997–1011 (2005)
RamÃrez, R.R. Neuromagnetic Source Imaging of Spontaneous and Evoked Human Brain Dynamics. PhD thesis, New York University School of Medicine, New York (2005)
RamÃrez, R.R., Makeig, S. Neuroelectromagnetic source imaging using multiscale geodesic neural bases and sparse Bayesian learning. Proceedings of the 12th Annual Meeting of the Organization for Human Brain Mapping, Florence, Italy (2006)
RamÃrez, R.R., Makeig, S. Neuroelectromagnetic source imaging of spatiotemporal brain dynamical patterns using frequency-domain independent vector analysis (IVA) and geodesic sparse Bayesian learning (gSBL). Proceedings of the 13th Annual Meeting of the Organization for Human Brain Mapping, Chicago, IL (2007)
RamÃrez, R.R., Makeig, S. Neuroelectromagnetic source imaging using multiscale geodesic basis functions with sparse Bayesian learning or MAP estimation. Neural Comput (In preparation) (2010)
RamÃrez, R.R., Wipf, D., Rao, B., Makeig, S. Sparse Bayesian learning for estimating the spatial orientations and extents of distributed sources. Biomag 2006 – Proceedings of the 15th International Conference on Biomagnetism, Vancouver, BC, Canada (2006)
Rao, B.D., Engan, K., Cotter, S.F., Palmer, J., Kreutz-Delgado, K. Subset selection in noise based on diversity measure minimization. IEEE Trans Signal Process 51(3), 760–770 (2002)
Rao, B.D., Kreutz-Delgado, K. An affine scaling methodology for best basis selection. IEEE Trans Signal Process 1, 187–202 (1999)
Ribary, U., Ioannides, A.A., Singh, K.D., Hasson, R., Bolton, J.P., Lado, F., Mogilner, A., Llinas, R. Magnetic field tomography of coherent thalamocortical 40-Hz oscillations in humans. Proc Natl Acad Sci USA 88(24), 11037–11041 (1991)
Sarnthein, J., Morel, A., von Stein, A., Jeanmonod, D. Thalamic theta field potentials and EEG: High thalamocortical coherence in patients with neurogenic pain, epilepsy and movement disorders. Thalamus Related Syst 2(3), 231–238 (2003)
Sarvas, J. Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem. Phys Med Biol 32(1), 11–22 (1987)
Sato, M., Yoshioka, T., Kajihara, S., Toyama, K., Naokazu, G., Doya, K., Kawatoa, M. Hierarchical Bayesian estimation for MEG inverse problem. NeuroImage 23, 806–826 (2004)
Scherg, M., Berg, P. Use of prior knowledge in brain electromagnetic source analysis. Brain Topogr 4(2), 143–150 (1991)
Schimpf, P.H., Liu, H., Ramon, C., Haueisen, J. Efficient electromagnetic source imaging with adaptive standardized LORETA/FOCUSS. IEEE Trans Biomed Eng 52(5), 901–908 (2005)
Schmidt, D.M., George, J.S., Wood, C.C. Bayesian inference applied to the electromagnetic inverse problem. Hum Brain Mapp 7(3), 195–212 (1999)
Sekihara, K., Nagarajan, S., Poeppel, D., Miyashita, Y. Time-frequency MEG-music algorithm. IEEE Trans Med Imaging 18(1), 92–97 (1999)
Tallon-Baudry, C., Bertrand, O., Delpuech, C., Pernier, J. Stimulus specificity of phaselocked and non-phase-locked 40 Hz visual responses in human. J Neurosci 16(13), 4240–4249 (1996)
Tang, A.C., Pearlmutter, B.A., Malaszenko, N.A., Phung, D.B., Reeb, B.C. Independent components of magnetoencephalography: Localization. Neural Comput 14(8), 1827–1858 (2002)
Taulu, S., Kajola, M., Simola, J. Suppression of interference and artifacts by the signal space separation method. Brain Topogr 16(4), 269–275 (2004)
Taylor, J.G., Ioannides, A.A., Muller-Gartner, H.W. Mathematical analysis of lead field expansions. IEEE Trans Med Imaging 18(2), 151–163 (1999)
Tesche, C.D. Non-invasive detection of ongoing neuronal population activity in normal human hippocampus. Brain Res 749(1), 53–60 (1997)
Tipping, M.E. Sparse Bayesian learning and the relevance vector machine. J Mach Learn Res 1, 211–244 (2001)
Tuch, D.S., Wedeen, V.J., Dale, A.M., George, J.S., Belliveau, J.W. Conductivity tensor mapping of the human brain using diffusion tensor MRI. Proc Natl Acad Sci USA 98(20), 11697–11701 (2001)
Ulbert, I., Halgren, E., Heit, G., Karmos, G. Multiple microelectrode-recording system for human intracortical applications. J Neurosci Methods 106(1), 69–79 (2001)
Uusitalo, M.A., Ilmoniemi, R.J. Signal-space projection method for separating MEG or EEG into components. Med Biol Eng Comput 35(2), 135–140 (1997)
Uutela, K., Hamalainen, M., Salmelin, R. Global optimization in the localization of neuromagnetic sources. IEEE Trans Biomed Eng 45(6), 716–723 (1998)
Uutela, K., Hamalainen, M., Somersalo, E. Visualization of magnetoencephalographic data using minimum current estimates. NeuroImage 10(2), 173–180 (1999)
Van Veen, B.D., van Drongelen, W., Yuchtman, M., Suzuki, A. Localization of brain electrical activity via linearly constrained minimum variance spatial filtering. IEEE Trans Biomed Eng 44(9), 867–880 (1997)
Volkmann, J., Joliot, M., Mogilner, A., Ioannides, A.A., Lado, F., Fazzini, E., Ribary, U., Llinas, R. Central motor loop oscillations in parkinsonian resting tremor revealed by magnetoencephalography. Neurology 46(5), 1359–1370 (1996)
Vrba, J., Robinson, S.E. Signal processing in magnetoencephalography. Methods 25(2), 249–271 (2001)
Wang, J.Z., Williamson, S.J., Kaufman, L. Magnetic source images determined by a leadfield analysis: The unique minimum-norm least-squares estimation. IEEE Trans Biomed Eng 39(7), 665–675 (1992)
Wipf, D.P., RamÃrez, R.R., Palmer, J.A., Makeig, S., Rao, B.D. Analysis of empirical Bayesian methods for neuroelectromagnetic source localization. In: Schlkopf, B., Platt, J., Hoffman, T. (eds.), Advances in Neural Information Processing Systems, vol. 19. MIT Press, Cambridge, MA (2007)
Wipf, D.P., Rao, B.D. Sparse Bayesian learning for basis selection. IEEE Trans Signal Process 52, 2153–2164 (2004)
Wipf, D.P., Rao, B.D. An empirical Bayesian strategy for solving the simultaneous sparse approximation problem. IEEE Trans Signal Process 55(7), 3704–3716 (2007)
Wolters, C.H., Anwander, A., Tricoche, X., Weinstein, D., Koch, M.A., MacLeod, R.S. Influence of tissue conductivity anisotropy on EEG/MEG field and return current computation in a realistic head model: A simulation and visualization study using high-resolution finite element modeling. NeuroImage 30(3), 813–826 (2006)
Zimmerman, J.E., Frederick, N.V. Miniature ultrasensitive superconducting magnetic gradiometer and its use in cardiography and other applications. Appl Phys Lett 19(1), 16–19 (1971)
Zumer, J.M., Attias, H.T., Sekihara, K., Nagarajan, S.S. A probabilistic algorithm integrating source localization and noise suppression for MEG and EEG data. NeuroImage 37, 102–115 (2007)
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RamÃrez, R.R., Wipf, D., Baillet, S. (2010). Neuroelectromagnetic Source Imaging of Brain Dynamics. In: Chaovalitwongse, W., Pardalos, P., Xanthopoulos, P. (eds) Computational Neuroscience. Springer Optimization and Its Applications(), vol 38. Springer, New York, NY. https://doi.org/10.1007/978-0-387-88630-5_8
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