Source Parameter Estimation in Inhomogeneous Volume Conductors of Arbitrary Shape

IEEE Transactions on Biomedical Engineering

Volumn 36, Issue 3, 1989, Pages 382-391

  Oostendorp, Thom F ^a   Van Oosterom, Adriaan ^a  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES--LEAST SQUARES APPROXIMATIONS;

BOUNDARY ELEMENT METHOD; CARDIOGRAPHY; INVERSE PROBLEMS; NONLINEAR PARAMETER ESTIMATION; SOURCE PARAMETER ESTIMATION;

BIOMEDICAL ENGINEERING;

CONDUCTION; ELECTROCARDIOGRAM; ELECTROENCEPHALOGRAM; THEORETICAL STUDY;

ELECTRIC CONDUCTIVITY; FEMALE; FETAL HEART; HUMAN; MATHEMATICS; MODELS, BIOLOGICAL; PREGNANCY; VECTORCARDIOGRAPHY;

EID: 0024634619     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/10.19859     Document Type: Article

References (22)

1. 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.
2. A. C. L. Barnard, I. M. Duck, M. S. Lynn, and W. T. Timlake, “The application of electromagnetic theory to electrocardiology II,” Biophys. J., vol. 7, pp. 463–491, 1966.
3. R. C. Barr, J. C. Pilkington, J. P. Boineau, and M. S. Spach, “Determining surface potentials from current dipoles with application to electrocardiography,” IEEE Trans. Biomed. Eng., vol. BME-13, pp. 88–92, 1966.
4. R. C. Barr, M. Ramsey, and M. S. Spach, “Relating epicardial to body surface potentials by means of transfer coefficients based on geometry measurements,” IEEE Trans. Biomed. Eng., vol. BME-24, pp. 1–11, 1977.
5. J. W. Clark and R. Plonsey, “A mathematical evaluation of the core conductor model,” Biophys. J., vol. 6, pp. 95–112, 1974.
6. J. J. M. Cuppen and A. van Oosterom, “Model studies with the inversely calculated isochrones of ventricular depolarization,” IEEE Biomed. Eng., vol. BME-31, pp. 652–659, 1984.
7. G. E. Forsythe, M. A. Malcolm, and C. B. Moler, Computer Methods for Mathematical Computations. Englewood Cliffs, NJ: Prentice-Hall, 1977.
8. D. Gabor and C. V. Nelson, “Determination of the resultant dipole of the heart from measurements on the body surface,” J. Appl. Physiol., vol. 25, pp. 413–422, 1954.
9. P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization. New York: Academic, 1981.
10. J. de Guise, R. M. Gulrajani, P. Savard, R. G. Guardo, and F. A. Roberge, “Inverse recovery of two moving dipoles from simulated surface potential distributions on a realistic human torso model,” IEEE Trans. Biomed. Eng., vol. BME-32, pp. 126–135, 1985.
11. M. S. Lynn and W. P. Timlake, “The use of multiple deflations in the numerical solution of singular systems of equations to potential theory,” Siam. J. Numer. Anal., vol. 5, pp. 303–322, 1968.
12. D. W. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters,” J. Soc. Indust. Appl. Math., vol. 2, pp. 431–441, 1963.
13. J. W. H. Meijs, H. B. K. Boom, M. J. Peters, and A. van Oosterom, “Application of the Richardson extrapolation in simulation studies of EEG's,” Med. Biol. Eng. Comput., vol. 25, pp. 222–226, 1987.
14. D. M. Mirvis, F. W. Keller, R. E. Ideker, J. W. Cox, R. F. Dowdie, and D. G. Zettergren, “Detection and localization of multiple epicardial electrical generators by a two-dipole ranging technique,” Circ. Res., vol. 41, pp. 551–557, 1977.
15. T. F. Oostendorp, A. van Oosterom, H. W. Jongsma, and P. W. J. van Dongen, “The potential distribution generated by the fetal heart at the maternal abdomen,” J. Perinat. Med., vol. 14, pp. 435–444, 1986.
16. T. F. Oostendorp, A. van Oosterom, and G. J. M. Huiskamp, “Interpolation on a triangulated 3-D surface,” J. Comput. Phys., to be published.
17. R. Plonsey, Bioelectrical Phenomena. New York: McGraw-Hill, 1967.
18. —, “The active fiber in a volume conductor,” IEEE Trans. Biomed. Eng., vol. BME-21, pp. 371–381, 1974.
19. J. B. Roche and E. H. Hon, “The fetal electrocardiogram V. Comparison of lead systems,” Amer. J. Obstet. Gynecol., vol. 92, pp. 1149–1159, 1965.
20. M. R. Schneider, “A multistage process for computing virtual dipolar sources of EEG discharges from surface information,” IEEE Trans. Biomed. Eng., vol. BME-19, pp. 1–12, 1972.
21. C. J. Stok, “The influence of model parameters on EEG/MEG single dipole source estimation,” IEEE Trans. Biomed. Eng., vol. BME- 34, pp. 289–296, 1987.
22. F. H. Terry, D. A. Brody, C. O. Eddlemon, J. W. Cox, F. W. Keller, and H. A. Phillips, “Dipole, quadrupole, and octapole measurements in isolated beating heart preparations,” IEEE Trans. Biomed. Eng., vol. BME-18, pp. 139–148, 1971.