The Laplacian inverse problem of electrocardiography: An eccentric spheres study

IEEE Transactions on Biomedical Engineering

Volumn 44, Issue 7, 1997, Pages 539-548

  Johnston, Peter R ^a  

^a UNIVERSITY OF TASMANIA   (Australia)

Author keywords

Eccentric spheres; Electrocardiography; Inverse problems; Simulation; Surface Laplacian

Indexed keywords

BIOELECTRIC POTENTIALS; BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; CALCULATIONS; INVERSE PROBLEMS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS;

ECCENTRIC SPHERES; SURFACE LAPLACIAN; ZERO ORDER TIKHONOV REGULARIZATION SCHEME;

ELECTROCARDIOGRAPHY;

ARTICLE; ELECTRIC POTENTIAL; ELECTROCARDIOGRAM; EPICARDIUM; HEART ELECTROPHYSIOLOGY;

ARTIFACTS; BODY SURFACE POTENTIAL MAPPING; HEART; HUMANS; MEMBRANE POTENTIALS; MODELS, CARDIOVASCULAR;

EID: 0031195058     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/10.594894     Document Type: Article

References (16)

1. P.R. Johnston, "The potential for Laplacian maps to solve the inverse problem of electrocardiography," IEEE Trans. Biomed. Eng., vol. 43, no. 4, pp. 384-393, Apr. 1996.
2. A.N. Tikhonov and V.Y. Arsenin, Solutions of Ill-Posed Problems. Washington, DC: Winston, 1977.
3. B. He and R.J. Cohen, "Body surface Laplacian ECG mapping," IEEE Trans. Biomed. Eng., vol. 39, no. 11, pp. 1179-1191, Nov. 1992.
4. B. He, D.A. Kirby, T.J. Mullen, and R.J. Cohen, "Body surface Laplacian ECG mapping of cardiac excitation in intact pigs," PACE, vol. 16, pp. 1017-1026, 1993.
5. B. Hjorth, "An on-line transformation of EEG scalp potentials into orthogonal source derivations," Electroenceph. Clin. Neurophysiol., vol. 39, pp. 526-530, 1975.
6. S.K. Law, P.L. Nunez, and R.S. Wijesinghe, "High-resolution EEG using spline generated surface Laplacians on spherical and ellipsoidal surfaces," IEEE Trans. Biomed. Eng., vol. 40, no. 2, pp. 145-153, Feb. 1993.
7. A.G. Kléber, M.J. Janse, F.J.L. van Capelle, and D. Durrer, "Mechanism and time course of S-T and T-Q segment changes during acute regional myocardial ischemia in the pig heart determined by extracellular and intracellular recordings," Circ. Res., vol. 42, no. 5, pp. 603-613, 1978.
8. T.F. Oostendorp and A. van Oosterom, "The surface Laplacian of the potential: Theory and application," IEEE Trans. Biomed. Eng., vol. 43, no. 4, pp. 394-405, Apr. 1996.
9. A. van Oosterom and J. Strackee, "Computing the lead field of electrodes with axial symmetry," Med. Biol. Eng. Comput., vol. 21, pp. 473-481, 1983.
10. C.A. Brebbia, J.C.F. Telles, and L.C. Wrobel, Boundary Element Techniques. Berlin, Germany: Springer-Verlag, 1984.
11. Y. Rudy and R. Plonsey, "The eccentric spheres model as the basis for a study of the role of geometry and inhomogeneities in electrocardiography," IEEE Trans. Biomed. Eng., vol. 26, pp. 392-399, 1979.
12. R.M. Arthur and D.B. Geselowitz, "Effect of inhomogeneities on the apparent location and magnitude of a cardiac current dipole source," IEEE Trans. Biomed. Eng., vol. BME-17, pp. 141-146, 1970.
13. A. Portela, M.H. Aliabadi, and D.P. Rooke, "The dual boundary element method: Effective implementation for crack problems," Int.J. Numer. Meth. Eng., vol. 33, pp. 1269-1287, 1992.
14. M. Guiggiani, G. Krishnasamy, T.J. Rudolphi, and F.J. Rizzo, "A general algorithm for the numerical solution of hypersingular boundary integral equations," ASME J. Appl. Mech., vol. 59, pp. 604-614, Sept. 1992.
15. D.B. Geselowitz, "On the use of the surface Laplacian to analyze electrocardiograms recorded on the body surface and on the heart surface," Med. Biol. Eng. Comput., vol. 34, no. suppl. 1, pt. 2, pp. 39-40, 1996.
16. W.F. Ames, Numerical Methods for Partial Differential Equations. Camden, NJ: Nelson, 1969.