Estimating Parametric Line-Source Models With Electroencephalography

We develop three parametric models for electroencephalography (EEG) to estimate current sources that are spatially distributed on a line. We assume a realistic head model and solve the EEG forward problem using the boundary element method (BEM). We present the models with increasing degrees of freedom, provide the forward solutions, and derive the maximum-likelihood estimates as well as Crameacuter-Rao bounds of the unknown source parameters. A series of experiments are conducted to evaluate the applicability of the proposed models. We use numerical examples to demonstrate the usefulness of our line-source models in estimating extended sources. We also apply our models to the real EEG data of N20 response that is known to have an extended source. We observe that the line-source models explain the N20 measurements better than the dipole model

[1]  B.N. Cuffin,et al.  Effects of head shape on EEGs and MEGs , 1990, IEEE Transactions on Biomedical Engineering.

[2]  Carlos H. Muravchik,et al.  Estimating brain conductivities and dipole source signals with EEG arrays , 2004, IEEE Transactions on Biomedical Engineering.

[3]  J. D. Munck,et al.  A fast method to compute the potential in the multisphere model (EEG application) , 1993, IEEE Transactions on Biomedical Engineering.

[4]  Jens Haueisen,et al.  Der Einfluss der Randelementediskretisierung auf die Vorwärtsrechnung und das inverse Problem in Elektroencephalographie und Magnetoencephalographie , 1997 .

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

[6]  Mingni Sun,et al.  An efficient algorithm for computing multishell spherical volume conductor models in EEG dipole source localization , 1997, IEEE Transactions on Biomedical Engineering.

[7]  Jean-Francois Mangin,et al.  A multiresolution framework to MEG/EEG source imaging , 2001, IEEE Trans. Biomed. Eng..

[8]  F. N. Wilson,et al.  The Electric Field of an Eccentric Dipole in a Homogeneous Spherical Conducting Medium , 1950, Circulation.

[9]  W. Orrison Functional Brain Imaging , 1995 .

[10]  D. Lehmann,et al.  Low resolution electromagnetic tomography: a new method for localizing electrical activity in the brain. , 1994, International journal of psychophysiology : official journal of the International Organization of Psychophysiology.

[11]  J.C. de Munck,et al.  A random dipole model for spontaneous brain activity , 1992, IEEE Transactions on Biomedical Engineering.

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

[13]  Peter C. M. Molenaar,et al.  Model selection in spatio-temporal electromagnetic source analysis , 2005, IEEE Transactions on Biomedical Engineering.

[14]  B. N. Cuffin,et al.  A method for localizing EEG sources in realistic head models , 1995, IEEE Transactions on Biomedical Engineering.

[15]  M. Peters,et al.  Computation of neuromagnetic fields using finite-element method and Biot-Savart law , 2007, Medical and Biological Engineering and Computing.

[16]  Carlos H. Muravchik,et al.  EEG/MEC error bounds for a static dipole source with a realistic head model , 2001, IEEE Trans. Signal Process..

[17]  Aleksandar Dogandzic,et al.  Estimating evoked dipole responses in unknown spatially correlated noise with EEG/MEG arrays , 2000, IEEE Trans. Signal Process..

[18]  A. S. Ferguson,et al.  A complete linear discretization for calculating the magnetic field using the boundary element method , 1994, IEEE Transactions on Biomedical Engineering.

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

[20]  B.N. Cuffin,et al.  EEG localization accuracy improvements using realistically shaped head models , 1996, IEEE Transactions on Biomedical Engineering.

[21]  R. Leahy,et al.  EEG and MEG: forward solutions for inverse methods , 1999, IEEE Transactions on Biomedical Engineering.

[22]  Olaf Dössel,et al.  Source analysis of median nerve and finger stimulated somatosensory evoked potentials: Multichannel simultaneous recording of electric and magnetic fields combined with 3d-MR tomography , 2005, Brain Topography.

[23]  Mingni Sun,et al.  An efficient algorithm for computing multishell spherical volume conductor models in EEG dipole source localization. , 1997, IEEE transactions on bio-medical engineering.

[24]  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.

[25]  J. Ebersole,et al.  Intracranial EEG Substrates of Scalp EEG Interictal Spikes , 2005, Epilepsia.

[26]  A. Gualtierotti H. L. Van Trees, Detection, Estimation, and Modulation Theory, , 1976 .

[27]  Richard M. Leahy,et al.  Matrix kernels for MEG and EEG source localization and imaging , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[28]  P. Valdés-Sosa,et al.  Variable Resolution Electric-Magnetic Tomography , 2000 .

[29]  Ernst Fernando Lopes Da Silva Niedermeyer,et al.  Electroencephalography, basic principles, clinical applications, and related fields , 1982 .

[30]  Z. Zhang,et al.  A fast method to compute surface potentials generated by dipoles within multilayer anisotropic spheres. , 1995, Physics in medicine and biology.

[31]  C. Brebbia,et al.  Boundary Elements IX , 1987 .

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

[33]  EEG distributed source imaging with a realistic finite-element head model , 2001 .

[34]  S. Kay Fundamentals of statistical signal processing: estimation theory , 1993 .

[35]  I F Gorodnitsky,et al.  Neuromagnetic source imaging with FOCUSS: a recursive weighted minimum norm algorithm. , 1995, Electroencephalography and clinical neurophysiology.

[36]  A. Nehorai,et al.  Simultaneous estimation and testing of sources in multiple MEG data sets , 2005, IEEE Transactions on Signal Processing.

[37]  Imam Samil Yetik,et al.  Line-source modeling and estimation with magnetoencephalography , 2005, IEEE Transactions on Biomedical Engineering.

[38]  Joe Brewer,et al.  Kronecker products and matrix calculus in system theory , 1978 .

[39]  L. Heller,et al.  Evaluation of boundary element methods for the EEG forward problem: effect of linear interpolation , 1995, IEEE Transactions on Biomedical Engineering.