Existence and uniqueness for electrode models for electric current computed tomography

SIAM Journal on Applied Mathematics

Volumn 52, Issue 4, 1992, Pages 1023-1040

  Somersalo, Erkki ^a   Cheney, Margaret ^b   Isaacson, David ^b  

^a UNIVERSITY OF HELSINKI   (Finland)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Electrical current computed tomography; Electrical impedance tomography; Electrode models; Impedance imaging; Variational principles

Indexed keywords

BIOMEDICAL ENGINEERING; COMPUTERIZED TOMOGRAPHY; ELECTRIC IMPEDANCE TOMOGRAPHY; TOMOGRAPHY; ELECTRODES; MATHEMATICAL MODELS;

ELECTRICAL CURRENT; ELECTRICAL IMPEDANCE TOMOGRAPHY; ELECTRODE MODELS; IMPEDANCE IMAGING; VARIATIONAL PRINCIPLES;

ELECTRODES; COMPUTERIZED TOMOGRAPHY;

ELECTRIC CURRENT COMPUTED TOMOGRAPHY; ELECTRICAL IMPEDANCE TOMOGRAPHY; ELECTRODE MODELS; IMPEDANCE IMAGING;

EID: 0026907944     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/0152060     Document Type: Article

References (7)

1. K.-S. CHENG, D. ISAACSON, J. C. NEWELL, AND D. G. GISSER, Electrode models for electric current computed tomography, IEEE Trans. Biomed. Engrg. 3, 36 (1989), pp. 918-924.
2. D. G. GISSER, D. ISAACSON, AND J. C. NEWELL, Current topics in impedance imaging, Clin. Phys. Physiol. Meas., 8 (1987), pp. 39-46.
3. P. GRISVARD, Elliptic Problems in Nonsmooth Domains, Pitman, Boston, 1985.
4. J. L. LIONS AND E. MAGENES, Non-Homogeneous Boundary Value Problems, Springer, New York, 1972.
5. K. YOSIDA, Functional Analysis, 6th ed., Springer, New York, 1980.
6. J. OOSTENDORP AND A. VAN OOSTEROM, The potential distribution generated by surface electrodes in inhomogeneous volume conductors of arbitrary shape, IEEE Trans. Biomed Engrg., 38 (1991), pp. 409-417.
7. R. COURANT, AND D. HILBERT, Methods of Mathematical Physics, Interscience, New York, 1953.