Representation of bioelectric current sources using Whitney elements in the finite element method

Physics in Medicine and Biology

Volumn 50, Issue 13, 2005, Pages 3023-3039

  Tanzer, I Oǧuz ^a,b,f   Järvenpää, Seppo ^c   Nenonen, Jukka ^d   Somersalo, Erkki ^e  

^a Laboratory of Biomedical Engineering   (Finland)

^b HELSINKI UNIVERSITY CENTRAL HOSPITAL   (Finland)

^c Electromagnetics Laboratory   (Finland)

^d Elekta Neuromag Oy   (Finland)

^e Department of Mathematics ^*  (Finland)

^f AALTO UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

BRAIN; ELECTRIC CURRENTS; ELECTRIC POTENTIAL; ELECTROENCEPHALOGRAPHY; FINITE ELEMENT METHOD; MAGNETIC FIELD EFFECTS; TISSUE;

BIOELECTRIC CURRENT; DISCRETE DELTA-FUNCTION TYPE CURRENT DIPOLES; NEURONAL TISSUE;

BIOELECTRIC PHENOMENA;

ARTICLE; BIOENERGY; ELECTRIC POTENTIAL; ELECTROENCEPHALOGRAM; ELECTROMAGNETIC FIELD; FINITE ELEMENT ANALYSIS; MAGNETIC FIELD; MAGNETOENCEPHALOGRAPHY; MOLECULAR MODEL; PRIORITY JOURNAL;

ALGORITHMS; ANIMALS; BRAIN; BRAIN MAPPING; COMPUTER SIMULATION; DIAGNOSIS, COMPUTER-ASSISTED; ELECTROENCEPHALOGRAPHY; ELECTROMAGNETIC FIELDS; FINITE ELEMENT ANALYSIS; HEAD; HUMANS; MAGNETOENCEPHALOGRAPHY; MODELS, NEUROLOGICAL;

EID: 21344472827     PISSN: 00319155     EISSN: None     Source Type: Journal    
DOI: 10.1088/0031-9155/50/13/004     Document Type: Article

References (30)

1. Awada K, Jackson D, Williams J, Wilton D, Baumann S and Papanicolau A 1997 Computational aspects of finite element modeling in EEG source localization IEEE Trans. Biomed. Eng. 44 736-52
2. Awada K, Jackson D, Wilton D and Williams J 1996 Closed-form evaluation of flux integrals appearing in a FEM solution of the 2D Poisson equation with dipole sources Electromagnetics 16 75-90
3. Berg P and Scherg M 1994 A fast method for forward computation of multiple-shell spherical head models Electroencephalogr. Clin. Neurophysiol. 90 58-64
4. Bertrand O, Thevenet M and Perrin F 1991 3-D finite element method in brain electrical activity studies Biomag. Loc. 3D Modelling TKK-F-A689 154-71
5. Bossavit A 1988 Whitney forms: a class of finite elements for three-dimensional computations in electromagnetism IEEE Proc. A 135 493-500
6. Bossavit A 1998 Computational Electromagnetism (San Diego, CA: Academic)
7. de Munck J and Peters M 1993 A fast method to compute the potential in the multi-sphere model IEEE Trans. Biomed. Eng. 40 1166-74
8. Eyuboglu M, Reddy R and Leigh J 1998 Imaging electrical current density using nuclear magnetic resonance Turk. J. Electr. Eng. 6 201-14
9. Gençer N, Acar C and Tanzer I O 2003 Forward problem solution of magnetic source imaging Magnetic Source Imaging of the Human Brain ed Z Lu and L Kaufman (Hillsdale, NJ: Lawrence Erlbaum Associates)
10. Gençer N and Tanzer I O 1999 Forward problem solution of electromagnetic source imaging using a new BEM formulation with high-order elements Phys. Med. Biol. 44 2275-87
11. Gevins A, Le J, Leong H, McEvoy L and Smith M 1999 Deblurring J. Clin. Neurophysiol. 16 204-13
12. Hämäläinen M, Hari R, Ilmoniemi R, Knuutila J and Lounasmaa O V 1993 Rev. Mod. Phys. 65 413-97
13. Haueisen J, Ramon C, Eiselt M, Brauer H and Nowak H 1997 Influence of tissue resistivities on neuromagnetic fields and electric potentials studied with a finite element model of the head IEEE Trans. Biomed. Eng. 44 727-35
14. Haueisen J, Tuch D, Ramon C, Schimpf P, Wedeen V, George J and Belliveau J W 2002 The influence of brain tissue anisotropy on human EEG and MEG NeuroImage 15 159-66
15. Ilmoniemi R 1995 Radial anisotropy added to a spherically symmetric conductor does not affect the external magnetic field due to internal sources Europhys. Lett. 30 313-6
16. Marin G, Guerin C, Baillet S, Garnero L and Meunier G 1998 Influence of skull anisotropy for the forward and inverse problem in EEG: simulation studies using FEM on realistic head models Hum. Brain Mapp. 6 250-69
17. Meijs J and Peters M 1987 The EEG and MEG using a model of eccentric spheres to describe the head IEEE Trans. Biomed. Eng. 34 913-20
18. Sarvas J 1987 Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem Phys. Med. Biol. 32 11-22
19. Schmidt J and Pilkington T 1991 The volume conductor effects of anisotropic muscle on body surface potentials using an eccentric spheres model IEEE Trans. Biomed. Eng. 38 300-3
20. Seo J, Pyo H, Park C, Kwon O and Woo E 2004 Image reconstruction of anisotropic conductivity tensor distribution in MREIT: computer simulation study Phys. Med. Biol. 49 4371-82
21. Stok C J 1987 The influence of model parameters on EEG/MEG single dipole source estimation IEEE Trans. Biomed. Eng. 34 289-96
22. Sun M 1997 An efficient algorithm for computing multishell spherical volume conductor models in EEG dipole source localization IEEE Trans. Biomed. Eng. 44 1243-52
23. Tuch D, Wedeen V, Dale A, George J and Belliveau J 2001 Conductivity tensor mapping of the human brain using diffusion tensor MRI Proc. Natl Acad. Sci. 20 11697-701
24. Uutela K, Hämäläinen M and Somersalo E 1999 Visualization of magnetoencephalographic data using minimum current estmates Neurolmage 10 173-80
25. van den Broek S, Reinders F, Donderwinkel M and Peters M 1998 Volume conduction effects in EEG and MEG Electroencephalogr. Clin. Neurophysiol. 106 522-34
26. van den Broek S, Zhou H and Peters M 1996 Computation of neuromagnetic fields using finite-element method and Biot-Savart law Med. Biol. Eng. Comput. 34 21-6
27. Wikswo J, Barach P and Freeman J 1980 Magnetic field of a nerve impulse: first measurements Science 208 53-5
28. Yao D 2000 Electric potential produced by a dipole in a homogeneous conducting sphere IEEE Trans. Biomed. Eng. 47 964-6
29. Zhang Z 1995 A fast method to compute surface potentials generated by dipoles within multilayer anisotropic spheres Phys. Med. Biol. 40 335-49
30. Zhou H and van Oosterom A 1992 Computation of the potential distribution in a four layer anisotropic concentric spherical volume conductor IEEE Trans. Biomed. Eng. 39 154-8