The Effects of Errors in Assumed Conductivities and Geometry on Numerical Solutions to the Inverse Problem of Electrocardiography

IEEE Transactions on Biomedical Engineering

Volumn 42, Issue 12, 1995, Pages 1192-1200

  Throne, Robert D ^a   Olson, Lorraine G ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL MATERIALS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC CONDUCTIVITY; ERRORS; FINITE ELEMENT METHOD; GEOMETRY; INVERSE PROBLEMS; MATHEMATICAL MODELS; MUSCLE; NUMERICAL METHODS; PROBLEM SOLVING; SPHERES;

ANTERIOR/POSTERIOR SPHERICAL COP ACTIVATION FRONTS; GENERALIZED EIGENSYSTEM APPROACH; INHOMOGENEITIES; INVERSE SOLUTIONS; LUNGS; SUBCUTANEOUS FAT; TRUNCATED SINGULAR VALUE DECOMPOSITION; ZERO ORDER TIKHONOV REGULARIZATION;

ELECTROCARDIOGRAPHY;

ANALYTICAL ERROR; ARTICLE; CALCULATION; ELECTROCARDIOGRAPHY; GEOMETRY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL;

EID: 0029411927     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/10.476126     Document Type: Article

References (19)

1. J. Varah, “A practical examination of some numerical methods for linear discrete ill-posed problems,” SI AM Rev., vol. 21, pp. 100–111, 1979.
2. P. Colli-Franzone, L. Guerri, B. Taccardi, and C. Viganotti, “The direct and inverse potential problems in electrocardiography. Numerical aspects of some regularization methods and applications to data collected in isolated dog heart experiments,” Lab. Anal. Numerica C.N.R., vol. Pub N, p. 22, 1979.
3. P. Colli-Franzone, L. Guerri, S. Tentoni, C. Viganotti, S. Baruffi, S. Spaggiari, and B. Taccardi, “A mathematical procedure for solving the inverse potential problem of electrocardiography. Analysis of the time-space accuracy from in vitro experimental data,” Math. Biosci, vol. 77, pp. 353–396, 1985.
4. Y. Rudy and B. J. Messinger-Rapport, “The inverse problem in electrocardiography: Solutions in terms of epicardial potentials,” CRC Critical Rev. Biomed. Eng., vol. 16, pp. 215–268, 1988.
5. B. J. Messinger-Rapport and Y. Rudy, “Regularization of the inverse problem in electrocardiography: A model study,” Math. Biosci, vol. 89, pp. 79–118, 1988.
6. B. J. Messinger-Rapport and Y. Rudy, “Computational issues of importance to the inverse recovery of epicardial potentials in a realistic heart-torso geometry,” Math. Biosci., vol. 97, pp. 85–120, 1989.
7. B. J. Messinger-Rapport and Y. Rudy, “Noninvasive recovery of epicardial potentials in a realistic heart-torso-geometry,” Circulation Res., vol. 66, pp. 1023–1039, 1990.
8. H. Roozen and A. van Oosterom, “Computing the activation sequence at the ventricular heart surface from body surface potentials,” Med. Biol Eng. Comput., vol. 25, pp. 250–260, 1987.
9. G. Huiskamp and A. van Oosterom, “The depolarization sequence of the human heart surface computed from measured body surface potentials,” IEEE Trans. Biomed. Eng., vol. 35, pp. 1047–1058, 1988.
10. G. Huiskamp and A. van Oosterom, “Tailored versus realistic geometry in the inverse problem of electrocardiography,” IEEE Trans. Biomed. Eng., vol. 36, pp. 827–835, 1989.
11. J. J. M. Cuppen and A. van Oosterom, “Model studies with the inversely calculated isochrones of ventricular depolarization,” IEEE Trans. Biomed. Eng., vol. BME-13, pp. 652–659, 1984.
12. A. Damen and J. van der Kam, “The use of the singular value decomposition in electrocardiography,” Med. and Biol. Eng. Comput., vol. 20, pp. 473–482, 1982.
13. R. Throne and L. Olson, “A generalized eigensystem approach to the inverse problem of electrocardiography,” IEEE Trans. Biomed. Eng., vol. 41, pp. 592–600, 1994.
14. L. G. Olson and R. D. Throne, “Computational issues arising in multidimensional elliptic inverse problems: The inverse problem of electrocardiography,” Eng. Computations, vol. 12, pp. 343–356, 1995.
15. Y. Rudy, R. Plonsey, and J. Liebman, “The effects of variations in conductivity and geometrical parameters on the electrocardiogram using an eccentric spheres model,” Circulation Res., vol. 44, pp. 104–111, 1979.
16. 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. BME-26, pp. 392–399, 1979.
17. B. J. Messinger-Rapport and Y. Rudy, “The inverse problem in electrocardiography: A model study of the effects of geometry and conductivity parameters on the reconstruction of epicardial potentials,” IEEE Trans. Biomed. Eng., vol. BME-33, pp. 667–676, 1986.
18. K. J. Bathe, Finite Element Procedures in Engineering Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1982.
19. A. V. Shahidi, P. Savard, and R. Nadeau, “Forward and inverse problems in electrocardiography: Modeling and recovery of epicardial potentials in humans,” IEEE Trans. Biomed. Eng., vol. 41, pp. 249–256, 1994.