The adjoint method for general EEG and MEG sensor-based lead field equations

Physics in Medicine and Biology

Volumn 54, Issue 1, 2009, Pages 135-147

  Vallaghé, Sylvain ^a   Papadopoulo, Théodore ^a   Clerc, Maureen ^a  

^a INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROENCEPHALOGRAPHY; MAGNETOENCEPHALOGRAPHY;

ADJOINT METHODS; ANALYTICAL FORMULAS; COMPLEX GEOMETRIES; FIELD EQUATIONS; FINITE NUMBERS; INVERSE SOURCE PROBLEMS; POINT SOURCES; SOURCE SPACES;

SENSORS;

LEAD;

ARTICLE; ELECTRIC POTENTIAL; ELECTRODE; ELECTROENCEPHALOGRAPHY; GEOMETRY; MAGNETIC FIELD; MAGNETOENCEPHALOGRAPHY; MATHEMATICAL MODEL; PRIORITY JOURNAL; SENSOR;

ELECTROENCEPHALOGRAPHY; MAGNETOENCEPHALOGRAPHY; MODELS, BIOLOGICAL;

EID: 58149267826     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/54/1/009     Document Type: Article

References (11)

1. Cheng K S, Isaacson D, Newell J C and Gisser D G 1989 Electrode models for electric current computed tomography IEEE Trans. Biomed. Eng. 36 918-24
2. Giles M B and Pierce N A 2000 An introduction to the adjoint approach to design Flow, Turbulence Combust. 65 393-415
3. Lions J L 1971 Optimal Control of Systems Governed by Partial Differential Equations (Berlin: Springer)
4. Nolte G 2003 The magnetic lead field theorem in the quasi-static approximation and its use for magnetoencephalography forward calculation in realistic volume conductors Phys. Med. Biol. 48 3637-52
5. Ollikainen J O, Vauhkonen M, Karjalainen P A and Kaipio J P 2000 Effects of electrode properties on eeg measurements and a related inverse problem Med. Eng. Phys. 22 535-45
6. Papadopoulo T and Vallaghé S 2007 Implicit meshing for finite element methods using levelsets Proc. MMBIA 07
7. Sarvas J 1987 Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem Phys. Med. Biol. 32 11-22
8. Schimpf P H 2007 Application of quasi-static magnetic reciprocity to finite element models of the meg lead-field IEEE Trans. Biomed. Eng. 54 2082-8
9. Somersalo E, Cheney M and Isaacson D 1992 Existence and uniqueness for electrode models for electric current computed tomography SIAM J. Appl. Math. 52 1023-40
10. Weinstein D, Zhukov L and Johnson C 2000 Lead-field bases for electroencephalography source imaging Ann. Biomed. Eng. 28 1059-164
11. Wolters C H, Grasedyck L and Hackbusch W 2004 Efficient computation of lead field bases and influence matrix for the fem-based eeg and meg inverse problem Inverse Problems 20 1099-116