The magnetic lead field theorem in the quasi-static approximation and its use for magnetoenchephalography forward calculation in realistic volume conductors

Physics in Medicine and Biology

Volumn 48, Issue 22, 2003, Pages 3637-3652

  Nolte, Guido ^a  

^a NATIONAL INSTITUTE OF NEUROLOGICAL DISORDERS AND STROKE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; FUNCTIONS; HARMONIC ANALYSIS; MAGNETIC FIELD EFFECTS; THEOREM PROVING;

HARMONIC FUNCTIONS; ISOTROPIC VOLUME CONDUCTORS;

MAGNETOENCEPHALOGRAPHY;

LEAD;

ALGORITHM; ARTICLE; CALCULATION; CONDUCTANCE; CONDUCTOR; MAGNETIC FIELD; MAGNETOENCEPHALOGRAPHY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SURFACE PROPERTY; THEORY;

ALGORITHMS; ELECTROMAGNETIC FIELDS; MAGNETOENCEPHALOGRAPHY; MATHEMATICS;

EID: 0344898323     PISSN: 00319155     EISSN: None     Source Type: Journal    
DOI: 10.1088/0031-9155/48/22/002     Document Type: Article

References (24)

1. Awada K A, Jackson D R, Williams J T, Wilton D R, Baumann S B and Papanicolaou A C 1997 Computational aspects of finite element modeling in EEG source localization IEEE Trans. Biomed. Eng. 44 736-52
2. Cuffin B N and Cohen D 1977 Magnetic fields of a dipole in special volume conductor shapes IEEE Trans. Biomed. Eng. 24 372-81
3. Eaton H 1992 Electric field induced in a spherical volume conductor from arbitrary coild: application to magnetic stimulation and MEG Med. Biol. Eng. Comput. 30 433-40
4. Fieseler T 2002 Analytic Source and Volume Conductor Models for Biomagnetic Fields (Aachen, Germany: Shaker)
5. Fletcher D J 1995 Improved method for computation of potentials in a realistic head shape model IEEE Trans. Biomed. Eng. 42 1094-3
6. Fuchs M, Kastner J, Wagner M, Hawes S and Ebersole J S 2002 A standardized boundary element method volume conductor model Clin. Neurophysiol. 113 702-12
7. Goncalves S I, de Munck J C, Verbunt J P, Bijma F, Heethaar R M and Lopes da Silva F 2003 In vivo measurement of the brain and skull resistivities using an EIT-based method and realistic models for the head IEEE Trans. Biomed. Eng. 50 754-67
8. Hämäläinen M S, Hari R, Ilmoniemi R J, Knuutila J and Lounasma O V 1993 Magnetoencephalography - theory, instrumentation, and application to noninvasive studies of the human brain Rev. Mod. Phys. 65 413-97
9. Haueisen J, Ramon C, Brauer H and Nowak H 2000 The influence of local tissue conductivity changes on the magnetoencephalogram and the electroencephalogram Biomed. Tech. 45 211-4
10. Heller L and van Hulsteyn D B 1992 Brain stimulation using electromagnetic sources: theoretical aspects Biophys. J. 63 129-38
11. Huang M X, Mosher J C and Leahy R M 1999 A sensor-weighted overlapping-sphere head model and exhaustive head model comparison for MEG Phys. Med. Biol. 44 423-40
12. Laarne P, Hyttinen J, Dodel S, Malmivuo J and Eskola H 2000 Accuracy of two dipolar inverse algorithms applying reciprocity for forward calculation Comput. Biomed. Res. 33 172-85
13. Malmivuo J and Plonsey R 1995 Bioelectromagnetism - Principles and Applications of Bioelectric and Biomagnetic Fields (New York: Oxford University Press)
14. Mosher J C, Leahy R M and Lewis P S 1999 EEG and MEG: forward solutions for inverse methods IEEE. Trans. Biomed. Eng. 46 245-59
15. de Munck J C 1992 A linear discretization of the volume conductor boundary integral equation using analytically integrated elements IEEE. Trans. Biomed. Eng. 39 986-90
16. Nolte G and Curio G 1997 On the calculation of magnetic fields based on multipole modeling of focal biological current sources Biophys. J. 73 1253-62
17. Nolte G and Curio G 1999 Perturbative analytical solutions of the electric forward problem for realistic volume conductors J. Appl. Phys. 86 2800-11
18. Nolte G, Fieseler T and Curio G 2001 Perturbative analytical solutions of the magnetic forward problem for realistic volume conductors J. Appl. Phys. 89 2360-9
19. Press W H, Teukolsky S A, Vetterlin W T and Flannery B P 1992 Numerical Recipes in C (Cambridge: Cambridge University Press)
20. Riera J J 1998 Electric lead field for a piecewise homogeneous volume conductor model of the head IEEE Trans. Biomed. Eng. 45 746-53
21. Sarvas J 1987 Basis mathematical and electromagnetic concepts of the biomagnetic inverse problem Phys. Med. Biol. 32 11-22
22. Tissari S and Rahola J 2003 A precorrected-fFT method to accelerate the solution of the forward problem in magnetoencephalography Phys. Med. Biol. 48 523-41
23. Tuch D S, Wedeen V J, Dale A M, George J S and Belliveau J W 2001 Conductivity tensor mapping of the human brain using diffusion tensor MRI Proc. Natl. Acad. Sci. USA 98 11697-701
24. Weinstein D, Zhukov L and Johnson C 2000 Lead-field bases for electroencephalography source imaging Ann. Biomed. Eng. 28 1059-65