Mathematical analysis of lead field expansions

IEEE Transactions on Medical Imaging

Volumn 18, Issue 2, 1999, Pages 151-163

  Taylor, John G ^a   Ioannides, Andreas A ^a   Müller Gärtner, Hans Wilhem ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CURRENT DENSITY; INVERSE PROBLEMS; MAGNETIC FIELDS; MAGNETOENCEPHALOGRAPHY; NONLINEAR EQUATIONS; SENSITIVITY ANALYSIS;

MAGNETIC FIELD TOMOGRAPHY (MFT);

MEDICAL IMAGING;

BRAIN; COMPUTER SIMULATION; HISTOLOGY; HUMAN; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE IMAGING; REVIEW; SENSITIVITY AND SPECIFICITY; THEORETICAL MODEL;

BRAIN; COMPUTER SIMULATION; HUMANS; MAGNETIC RESONANCE IMAGING; MODELS, THEORETICAL; SENSITIVITY AND SPECIFICITY;

EID: 0032587468     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/42.759120     Document Type: Article

References (27)

1. F. N. Alavi, J. G. Taylor, and A. A. Ioannides, "Estimates of current density distributions - I: Applying the principle of cross-entropy minimization to electrographic recordings," Inverse Problems, vol. 9, pp. 623-639, 1993.
2. R. E. Alvarez, "Biomagnetic Fourier imaging," IEEE Trans. Med. Imag., vol. 9, pp. 299-304, 1990.
3. C. J. S. Clarke, "Probabilistic methods in a biomagnetic inverse problem," Inverse Problems, vol. 5, pp. 999-1012, 1989.
4. _, "Error estimates in the biomagnetic inverse problem," Inverse Problems, vol. 10, pp. 77-86, 1994.
5. C. J. S. Clarke, A. A. Ioannides, and J. P. R. Bolton, "Localized and distributed source solutions for the biomagnetic inverse problem I," in Advances in Biomagnetism, S. J. Williamson, M. Hoke, G. Stroink, and M. Kotani, Eds. New York: Plenum, 1989, pp. 587-590.
6. C. J. S. Clarke and B. S. Janday, "The solution of the biomagnetic inverse problem by maximum statistical entropy," Inverse Problems, vol. 5, pp. 483-500, 1989.
7. A. M. Dale and M. I. Sereno, "Improved localization of cortical activity by combining EEG and MEG with MRI cortical surface reconstruction: A linear approach," J. Cognit. Neurosc., vol. 5, pp. 162-176, 1993.
8. W. J. Dallas, "Fourier space solution to the magnetostatic imaging problem," Appl. Opt., vol. 24, pp. 4543-4546, 1985.
9. M. Fuchs, M. Wagner, H.-A. Wischmann, and O. Dössel, "Cortical current imaging by morphologically constrained reconstructions," in Biomagnetism: Fundamental Research and Clinical Applications, C. Baumgartner, L. Deecke, G. Stroink, and S. J. Williamson, Eds. Amsterdam, The Netherlands: Elsevier, 1995, pp. 320-325.
10. I. F. Gorodnitsky, J. S. George, and P. S. Lewis, "Neuromagnetic source imaging with FOCUSS: A recursive weighted minimum norm algorithm," Electroenceph. Clin. Neurophysiol., vol. 95, pp. 231-251, 1995.
11. I. Gorodnitsky and B. D. Rao, "Sparse signal reconstruction from limited data using FOCUSS: A re-weighted minimum norm algorithm," IEEE Trans. Signal Processing, vol. 45, pp. 600-616, Mar. 1997.
12. M. S. Hämäläinen and R. J. Ilmoniemi, "Interpreting measured magnetic fields of the brain: Estimates of current distributions," Helsinki Univ. Technol., Tech. Rep. TKK-F-A559, 1984.
13. M. Hämäläinen, R. Hari, R. J. Ilmoniemi, J. Knuutila, and O. V. Lounasmaa, "Magnetoencephalography - Theory, instrumentation, and applications to noninvasive studies of the working human brain," Rev. Mod. Phys., vol. 65, pp. 413-497, 1993.
14. A. A. Ioannides, "Estimates of brain activity using magnetic field tomography and large scale communication within the brain," in Bioelectrodynamics and Biocommunication, M. W. Ho, F. A. Popp, and U. Warnke, Eds. Singapore: World Scientific, 1994, pp. 319-353.
15. _, "Estimates of 3D brain activity ms by ms from biomagnetic signals: Method (MFT), results and their significance," in Quantitative and Topological EEG and MEG Analysis, E. Eiselt, U. Zwiener, and H. Witte, Eds. Jena: Universitätsverlag, 1995, pp. 59-68.
16. A. A. loannides, J. P. R. Bolton, R. Hasson, and C. J. S. Clarke "Localized and distributed source solutions for the biomagnetic inverse problem II," in Advances in Biomagnetism, S. J. Williamson, M. Hoke, G. Stroink, and M. Kotani, Eds. New York: Plenum, 1989, pp. 591-594.
17. A. A. Ioannides, J. P. R. Bolton, and C. J. S. Clarke, "Continuous probabilistic solutions to the biomagnetic inverse problem," Inverse Problems, vol. 6, pp. 523-542, 1990.
18. B. Jeffs, R. Leahy, and M. Singh, "An evaluation of methods for neuromagnetic image reconstruction," IEEE Trans. Biomed Eng., vol. 34, pp. 713-723, Sept. 1987.
19. R. Kuc, "Grid spacing criterion for source current imaging," in Biomagnetistn: Fundamental Research and Clinical Applications, C. Baumgartner, L. Deecke, G. Stroink, and S. J. Williamson, Eds. Amsterdam, The Netherlands: Elsevier, 1995, pp. 302-307.
20. W. H. Kullman, K. D. Jandt, K. Rehm, H. A. Schlitt, W. J. Dallas, and W. E. Smith, "A linear estimation approach to biomagnetic imaging," in Advances in Biomagnetism, S. J. Williamson, M. Hoke, G. Stroink, and M. Kotani, Eds. New York: Plenum, 1989, pp. 571-574.
21. J. C. Mosher, P. S. Lewis, R. Leahy, and M. Singh, "Multiple dipole modeling of spatio-temporal MEG data," SPIE, vol. 1351, pp. 364-375, 1990.
22. U. Ribary, A. A. Ioannides, R. Hasson, K. D. Singh, J. P. R. Bolton, F. Lado, A. Mogilner, and R. Llinas, "Magnetic field tomography (MFT) of coherent thalamo-cortical 40 Hz oscillations in humans," in Proc. Nat.. Acad. Sci. USA, 1991, vol. 88, pp. 11037-11041.
23. S. E. Robinson, "Theory and properties of lead field synthesis analysis," in Advances in Biomagnetism, S. J. Williamson, M. Hoke, G. Stroink, and M. Kotani, Eds. New York: Plenum, 1989, pp. 599-602.
24. C. W. Crowley, R. E. Greenblatt, and I. Khalil, "Minimum norm estimation of current distributions in realistic geometries," in Advances in Biomagnetism, S. J. Williamson, M. Hoke, G. Stroink, and M. Kotani, Eds. New York: Plenum, 1989, pp. 603-606.
25. B. J. Roth, N. G. Sepulveda, and J. P. Wikswo, "Using a magnetometer to image a two-dimensional current distribution," J. Appl. Phys., vol. 65, pp. 361-372, 1989.
26. J. Sarvas, "Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem," Phys. Med. Biol., vol. 32, pp. 11-22, 1987.
27. J.-Z. Wang, S. J. Williamson, and L. Kaufman, "Magnetic source images determined by a lead-field analysis: The unique minimum-norm leastsquares estimation," IEEE Trans. Biomed Eng., vol. 39, pp. 665-675, 1992.