The magnetic field inside special conducting geometries due to internal current

IEEE Transactions on Biomedical Engineering

Volumn 51, Issue 8, 2004, Pages 1310-1318

  Heller, Leon ^a   Ranken, Douglas ^a   Best, Elaine ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Homogeneous sphere; Infinite half space; Magnetic field; Neuromagnetic field; Three concentric spheres

Indexed keywords

ELECTRIC CONDUCTIVITY; ELECTRIC CURRENTS; MAGNETIC FIELD EFFECTS; NEUROLOGY;

CURRENT DIPOLES; TANGENTIAL COMPONENTS;

BIOMEDICAL ENGINEERING;

ARTICLE; CALCULATION; CONDUCTOR; DIPOLE; ELECTRIC CONDUCTIVITY; ELECTRICITY; GEOMETRY; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; NEUROIMAGING; RADIATION PHYSICS;

BRAIN; BRAIN MAPPING; COMPUTER SIMULATION; ELECTRIC CONDUCTIVITY; ELECTROENCEPHALOGRAPHY; ELECTROMAGNETIC FIELDS; HEAD; MAGNETOENCEPHALOGRAPHY; MODELS, NEUROLOGICAL; RADIOMETRY;

EID: 3242704210     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2004.827554     Document Type: Article

References (18)

1. D. B. Geselowitz, "On bioelectric potentials in an inhomogeneous volume conductor," Biophys. J., vol. 7, pp. 1-11, 1967.
2. -, "On the magnetic field generated outside an inhomogeneous volume conductor by internal current sources," IEEE Trans. Magn., vol. MAG-6, pp. 346-347, 1970.
3. J. Sarvas, "Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem," Phys. Med. Biol., vol. 32, pp. 11-22, 1987.
4. F. Grynszpan and D. B. Geselowitz, "Model studies of the magnetocardiogram," Biophys. J., vol. 13, pp. 911-925, 1973.
5. B. N. Cuffin and D. Cohen, "Magnetic fields of a dipole in special volume conductor shapes," IEEE Trans. Biomed. Eng., vol. BME-24, pp. 372-381, 1977.
6. J. B. Bronzan, "The magnetic scalar potential," Amer. J. Phys., vol. 39, pp. 1367-1369, 1971.
7. H. Kamei, K. Iramina, K. Yoshikawa, and S. Ueno, "Neuronal current distribution imaging using magnetic resonance," IEEE Trans. Magn., vol. 35, pp. 4109-4111, 1999.
8. J. Bodurka and P. A. Bandettini, "Toward direct mapping of neuronal activity: MRI detection of ultraweak, transient magnetic field changes," Magn. Res. Med., vol. 47, pp. 1052-1058, 2002.
9. J. Xiong, P. T. Fox, and J.-H. Gao, "Directly mapping magnetic field effects of neuronal activity by magnetic resonance imaging," Human Brain Mapping, vol. 20, pp. 41-49, 2003.
10. M. S. Hämäläinen and J. Sarvas, "Realistic conductivity geometry of the human head for interpretation of neuromagnetic data," IEEE Trans. Biomed. Eng., vol. 36, pp. 165-171, Feb. 1989.
11. R. J. Ilmoniemi, M. S. Hämäläinen, and J. Knuutila, Biomagnetism: Applications and Theory, H. Weinberg, G. Stroink, and T. Katila, Eds., 1985, pp, 278-282.
12. L. Heller and D. B. van Hulsteyn, "Brain stimulation using electromagnetic sources: Theoretical aspects," Biophys. J., vol. 63, pp. 129-138, 1992.
13. D. Yao, "Electric potential produced by a dipole in a homogeneous conducting sphere," IEEE Trans. Biomed. Eng., vol. 47, pp, 964-966, July 2000.
14. J. Mosher, private communication, 2003.
15. J. D. Jackson, Classical Electrodynamics. New York: Wiley, 1975.
16. J. W. H. Meijs, O. W. Weier, M. J. Peters, and A. Van Oosterom, "On the numerical accuracy of the boundary element method," IEEE Trans. Biomed. Eng., vol. 36, pp. 1038-1049, Oct. 1989.
17. J. C. Mosher, R. M. Leahy, and P. S. Lewis, "EEG and MEG: Forward solutions for inverse methods," IEEE Trans. Biomed. Eng., vol. 46, pp. 245-259, Mar. 1999.
18. B. He, D. Yao, J. Lian, and D. Wu, "An equivalent current source model and Laplacian weighted minimum norm current estimates of brain electrical activity," IEEE Trans. Biomed. Eng., vol. 49, pp. 277-288, Apr. 2002.