Interpreting magnetic fields of the brain: minimum norm estimates

The authors have applied estimation theory to the problem of determining primary current distributions from measured neuromagnetic fields. In this procedure, essentially nothing is assumed about the source currents, except that they are spatially restricted to a certain region. Simulation experiments show that the results can describe the structure of the current flow fairly well. By increasing the number of measurements, the estimate can be made more localised. The current distributions may be also used as an interpolation and an extrapolation for the measured field patterns.

[1]  D. H. McLain,et al.  Drawing Contours from Arbitrary Data Points , 1974, Comput. J..

[2]  B. Neil Cuffin,et al.  Magnetic Fields of a Dipole in Special Volume Conductor Shapes , 1977, IEEE Transactions on Biomedical Engineering.

[3]  J. H. Tripp Physical Concepts and Mathematical Models , 1983 .

[4]  VB-2 hydrogenation by ion implantation for VLSI/SOI applications , 1984, IEEE Transactions on Electron Devices.

[5]  M. Singh,et al.  Reconstruction of Images from Neuromagnetic Fields , 1984, IEEE Transactions on Nuclear Science.

[6]  W. Dallas Fourier space solution to the magnetostatic imaging problem. , 1985, Applied optics.

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

[8]  Manbir Singh,et al.  An Evaluation of Methods for Neuromagnetic Image Reconstruction , 1987, IEEE Transactions on Biomedical Engineering.

[9]  Matti Hämäläinen A 24-Channel Planar Gradiometer: System Design and Analysis of Neuromagnetic Data , 1989 .

[10]  C. W. Crowley,et al.  Minimum Norm Estimation of Current Distributions in Realistic Geometries , 1989 .

[11]  A. Ioannides,et al.  Localised and Distributed Source Solutions for the Biomagnetic Inverse Problem II , 1989 .

[12]  William J. Dallas,et al.  A Linear Estimation Approach to Biomagnetic Imaging , 1989 .

[13]  R. Ilmoniemi,et al.  A 24-Channel Magnetometer for Brain Research , 1989 .

[14]  W E Smith,et al.  Linear estimation theory applied to the reconstruction of a 3-D vector current distribution. , 1990, Applied optics.

[15]  A. Ioannides,et al.  Continuous probabilistic solutions to the biomagnetic inverse problem , 1990 .

[16]  J C de Munck,et al.  The use of the asymptotic expansion to speed up the computation of a series of spherical harmonics. , 1991, Clinical physics and physiological measurement : an official journal of the Hospital Physicists' Association, Deutsche Gesellschaft fur Medizinische Physik and the European Federation of Organisations for Medical Physics.

[17]  R. Ilmoniemi,et al.  Synthetic magnetometer channels for standard representation of data , 1992 .

[18]  R. Ilmoniemi,et al.  Estimates of visually evoked cortical currents. , 1992, Electroencephalography and clinical neurophysiology.

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

[20]  R. Ilmoniemi,et al.  Minimum-norm estimation in a boundary-element torso model , 2006, Medical and Biological Engineering and Computing.

[21]  Gene H. Golub,et al.  Generalized cross-validation as a method for choosing a good ridge parameter , 1979, Milestones in Matrix Computation.