The unique determination of neuronal currents in the brain via magnetoencephalography

Inverse Problems

Volumn 20, Issue 4, 2004, Pages 1067-1082

  Fokas, A S ^a   Kurylev, Y ^b   Marinakis, V ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DECOMPOSITION; ELECTRIC FIELD EFFECTS; ENERGY ABSORPTION; FUNCTIONS; GEOMAGNETISM; MAGNETIC FIELD EFFECTS; MAGNETOENCEPHALOGRAPHY; NEUROLOGY; OPTIMIZATION; SQUIDS; TOMOGRAPHY; VECTORS;

CURRENT-FLOW IMAGING; NEUROMAGNETIC SIGNALS; NEURONAL CURRENTS;

BRAIN;

EID: 4043082753     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/20/4/005     Document Type: Article

References (18)

1. Hille B 1992 Ionic Channels of Excitable Membranes 2nd edn (Sunderland, MA: Sinauer Associates)
2. Hamalainen M, Hari R, Ilmoniemi R J, Knuutila J and Lounasmaa O V 1993 Magnetoencephalography theory, instrumentation and applications to noninvasive studies of the working human brain Rev. Mod. Phys. 65 413-97
3. Clarke J 1994 SQUIDS Sci. Am. 271 46-53
4. Geselowitz D B 1970 On the magnetic field generated outside an inhomogeneous volume conductor by internal current sources IEEE Trans. Magn. 6 346-7
5. Dassios G and Kariotou F 2003 On the Geselowitz formula in biomagnetics Quart. Appl. Math. 61 387-400
6. Grynszpan F and Geselowitz D B 1973 Model studies of the magnetocardiogram Biophys. J. 13 911-25
7. Ilmoniemi R J, Hamalainen M S and Knuutila J 1985 The forward and inverse problems in the spherical model Biomagnetism: Applications and Theory ed H Weinberg, G Stroink and T Katila (New York: Pergamon)
8. Sarvas J 1987 Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem Phys. Med. Biol. 32 11-22
9. Helmholtz H 1853 Ueber Einige Gesetze der Vertheilung Elektrischer Strome in Korperlichen Leitern mit Anwendung auf Diethierisch-Elektrischen Versuche Ann. Phys. Chem. 89 211-33
10. Helmholtz H 1853 Some laws about the distribution of electrical currents in volume conductors, with application to animal electric experiments Am. Phys. Chem. 89 353-77
11. Ioannides A A, Bolton J P R and Clarke C J S 1990 Continuous probabilistic solutions to the biomagnetic inverse problem Inverse Problems 6 523-42
12. See Images of Conflict: MEG vs EEG, by Crease R P 1991 Science 253 374-5
13. Dassios G and Kariotou F 2003 Magnetoencephalography in ellipsoidal geometry J. Math. Phys. 44 220-41
14. Scherg M 1990 Fundamentals of dipole source potential analysis Auditory Evoked Magnetic Fields and Electric Potentials (Advances in Audiology vol 6) ed F Grandori, M Hoke and G L Romani (Basel: Karger) pp 40-69
15. DeMunck J C 1990 The estimation of time varying dipoles on the basis of evoked potentials Electroenceph. Clin. Neurophys. 77 156-60
16. Hamalainen M S and Ilmoniemi R J 1994 Minimum-norm estimation in a boundary-element torso model Med. Biol. Eng. Comp. 32 43-8
17. Fokas A S, Gel'fand I M and Kurylev Y 1996 Inversion method for magnetoencephalography Inverse Problems 12 L9-11
18. Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes in Fortran. The Art of Scientific Computing 2nd edn (Cambridge: Cambridge University Press)