Wavefront-based models for inverse electrocardiography

IEEE Transactions on Biomedical Engineering

Volumn 53, Issue 9, 2006, Pages 1821-1831

  Ghodrati, Alireza ^a,b   Brooks, Dana H ^a,c   Tadmor, Gilead ^a,c   MacLeod, Robert S ^a,d  

^a IEEE   (United States)

^b Draeger Medical ^*  (United States)

^c Northeastern University   (United States)

^d UNIVERSITY OF UTAH SCHOOL OF MEDICINE   (United States)

Author keywords

Electrocardiography; Inverse electrocardiography; Inverse problem; Kalman filter; Regularization; State evolution model

Indexed keywords

INVERSE ELECTROCARDIOGRAPHY; REGULARIZATION; STATE EVOLUTION MODEL;

CARDIOLOGY; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; MATHEMATICAL MODELS; MEDICAL IMAGING; WAVEFRONTS;

ELECTROCARDIOGRAPHY;

ANIMAL TISSUE; ARTICLE; BODY SURFACE; CONTROLLED STUDY; DATA ANALYSIS; ELECTROCARDIOGRAPHY; EPICARDIUM; HEART; HEART PACING; MATHEMATICAL MODEL; NONHUMAN; PHENOMENOLOGY; SIMULATION;

ACTION POTENTIALS; ANIMALS; BODY SURFACE POTENTIAL MAPPING; COMPUTER SIMULATION; DIAGNOSTIC IMAGING; DOGS; ELECTRIC IMPEDANCE; ELECTROCARDIOGRAPHY; HEART CONDUCTION SYSTEM; HEART VENTRICLES; IMAGING, THREE-DIMENSIONAL; MODELS, CARDIOVASCULAR; MYOCARDIAL CONTRACTION; PLETHYSMOGRAPHY, IMPEDANCE;

EID: 33747838776     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2006.878117     Document Type: Article

References (37)

1. C. Ramanathan, R. N. Ghanem, P. Jial, K. Ryu, and Y. Rudy, "Noninvasive electrocardiographic imaging for cardiac electrophysiology and arrhythmia," Nature Med., vol. 10, pp. 422-428, 2004.
2. B. Tilg, G. Fischer, R. Modre, F. Hanser, B. Messnarz, M. Schocke, C. Kremser, T. Berger, F. Hintringer, and F. X. Roithinger, "Model-based imaging of cardiac electrical excitation in humans," IEEE Trans. Med. Imag., vol. 21, no. 9, pp. 1031-1039, Sep. 2002.
3. J. J. M. Cuppen and A. van Oosterom, "Model studies with the inversely calculated isochrones of ventricular depolarization," IEEE Trans. Biomed. Eng., vol. BME-31, pp. 652-659, 1984.
4. G. J. 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, no. 12, pp. 1047-1059, Dec. 1989.
5. G. J. Huiskamp and F. Greensite, "A new method for myocardial activation imaging," IEEE Trans. Biomed. Eng., vol. 44, no. 6, pp. 433-446, Jun. 1997.
6. A. J. Pullan, L. K. Cheng, M. P. Nash, C. P. Bradley, and D. J. Paterson, "Noninvasive electrical imaging of the heart: Theory and model development," Ann. Biomed. Eng., vol. 29, pp. 817-836, 2001.
7. D. H. Brooks, G. F. Ahmad, R. S. MacLeod, and G. M. Maratos, "Inverse electrocardiography by simultaneous imposition of multiple constraints," IEEE Trans. Biomed. Eng., vol. 46, no. 1, pp. 3-18, Jan 1999.
8. F. Greensite and G. Huiskamp, "An improved method for estimating epicardial potentials from the body surface," IEEE Trans. Biomed. Eng., vol. 45, no. 1, pp. 98-104, Jan. 1998.
9. A. van Oosterom, "The use of spatial covariance in computing pericardial potentials," IEEE Trans. Biomed. Eng., vol. 46, no. 7, pp. 778-787, Jul. 1999.
10. C. Ramanathan, P. Jia, R. Ghanem, D. Calvetti, and Y. Rudy, "Noninvasive electrocardiographic imaging (ECGI): Application of the generalized minimal residual (GMRes) method," Ann. Biomed. Eng., vol. 31, no. 8, pp. 981-994, Sep. 2003.
11. B. Messnarz, B. Tilg, R. Modre, G. Fischer, and F. Hanser, "A new spatiotemporal regularization approach for reconstruction of cardiac transmembrane potential patterns," IEEE Trans. Biomed. Eng., vol. 51, no. 2, pp. 273-281, Feb. 2004.
12. C. Liu, G. Li, and B. He, "Localization of the site of origin of reentrant arrhythmia from body surface potential maps: A model study," Phys. Med. Biol., vol. 50, no. 7, pp. 1421-1432, 2005.
13. R. Modre, M. Seger, G. Fischer, C. Hintermuller, D. Hayn, B. Pfeifer, F. Hanser, G. Schreier, and B. Tilg, "Cardiac anisotropy: is it negligible regarding noninvasive activation time imaging?," IEEE Trans. Biomed. Eng., vol. 53, no. 4, pp. 569-580, Apr. 2006.
14. J. E. Burns, B. Taccardi, R. S. MacLeod, and Y. Rudy, "Noninvasive electrocardiographic imaging of electrophysiologically abnormal substrates in infarcted hearts: A model study," Circulation, vol. 101, pp. 533-540, 2000.
15. J. E. Burnes, B. Taccardi, and Y. Rudy, "A noninvasive imaging modality for cardiac arrhythmias," Circulation, vol. 102, pp. 2152-2158, 2000.
16. S. Ohyu, Y. Okamoto, and S. Kuriki, "Use of the ventricular propagated excitation model in the magnetocardiographic inverse problem for reconstruction of electrophysiological properties," IEEE Trans. Biomed. Eng., vol. 49, no. 6, pp. 509-519, Jun. 2002.
17. L. K. Cheng, J. M. Bodley, and A. J. Pullan, "Effects of experimental and modeling errors on electrocardiographic inverse formulations," IEEE Trans. Biomed. Eng., vol. 50, no. 1, pp. 23-32, Jan. 2003.
18. A. Ghodrati, D. H. Brooks, G. Tadmor, B. Punske, and R. S. MacLeod, "Wavefront-based inverse electrocardiography using an evolving curve state vector and phenomenological propagation and potential models," Int. J. Bioelectromagnetism, vol. 7, no. 2, pp. 210-213, 200.
19. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Upper Saddle River, NJ: Prentice-Hall, 1993.
20. B. Taccardi, R. L. Lux, P. R. Ershler, R. S. MacLeod, C. Zabawa, and Y. Vyhmeister, "Potential distributions and excitation time maps recorded with high spatial resolution from the entire ventricular surface of exposed dog hearts," in Proc. Computers in Cardiology, 1992, pp. 1-4.
21. B. Taccardi, E. Macchi, R. L. Lux, P. R. Ershler, S. Spaggiari, S. Baruffi, and Y. Vyhmeister, "Effect of myocardial fiber direction on epicardial potentials," Circulation, vol. 90, pp. 3076-3090, 1994.
22. B. Taccardi, R. L. Lux, R. S. MacLeod, P. R. Ershler, T. J. Dustman, M. Scott, Y. Vyhmeister, and N. Ingebrigtsen, "Electrocardiographic waveforms and cardiac electric sources," J. Electrocardiol., vol. 29, pp. 98-100, 1996, (Suppl.).
23. F. Calderero, A. Ghodrati, D. H. Brooks, G. Tadmor, and R. MacLeod, "A method to reconstruct activation wavefronts without isotropy assumptions using a level sets approach," in Proc. Functional Imaging and Modeling of the Heart 2005, Barcelona, Spain, 2005, pp. 195-204.
24. P. M. Nielsen, I. J. LeGrice, B. H. Smaill, and P. J. Hunte, "Mathematical model of geometry and fibrous structure of the heart," Am. J. Physiol., vol. 260, pp. 1365-1378, 1991.
25. B. P. Punske, R. L. Lux, R. S. MacLeod, P. R. Ershler, T. J. Dustman, Y. Vyhmeister, and B. Taccardi, "Experimental study and removal of the drift of the reference potential from the unipolar electrogram," in Proc. 1st Joint BMES/EMBS Conf., 1999, p. 303.
26. B. Taccardi, S. Veronese, P. C. Franzone, and L. Guerri, "Multiple components in the unipolar electrogram: A simulation study in a three-dimensional model of ventricular myocardium," J. Cardiovasc. Electrophysiol., vol. 9, no. 10, pp. 1062-1084, 1998.
27. B. B. Punske, Q. Ni, R. L. Lux, R. S. MacLeod, P. R. Ershler, T. J. Dustman, M. J. Allison, and Taccardi, "Spatial methods of epicardial activation time determination in normal hearts," Ann. Biomed. Eng., vol. 31, no. 7, pp. 781-792, 2003.
28. H. S. Oster and Y. Rudy, "The use of temporal information in the regularization of the inverse problem of electrocardiography," IEEE Trans. Biomed. Eng., vol. 39, no. 1, pp. 65-75, Jan. 1992.
29. R. S. MacLeod, Q. Ni, B. Punske, P. R. Ershler, B. Yilmaz, and B. Taccardi, "Effects of heart position on the body-surface ecg," J. Electrocardiol., vol. S33, pp. 229-237, 2000.
30. P. C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems. Philadelphia, PA: SIAM, 1997.
31. R. S. MacLeod and C. R. Johnson, "Map3d: Interactive scientific visualization for bioengineering data," in Proc. IEEE Engineering in Medicine and Biology Society 15th Annu. Int. Conf., 1993, pp. 30-31.
32. J. El-Jakl, F. Champagnat, and Y. Goussard, "Time-space regularization of the inverse problem of electrocardiography," in Proc. 17th Annu. IEEE- Engineering in Medicine and Biology Society Conf., 1995, pp. 213-214.
33. K. L. Berrier, D. C. Sorensen, and D. S. Khoury, "Solving the inverse problem of electrocardiography using a Duncan and Horn formulation of the Kalman filter," IEEE Trans. Biomed. Eng., vol. 51, no. 3, pp. 507-515, Mar 2004.
34. A. van Oosterom, "The spatial covariance used in computing the pericardial potential distribution," in Computational Inverse Problems in Electrocardiography, P. R. Johnston, Ed. Southampton, UK: WIT, 2001, pp. 1-50.
35. F. Greensite, "The temporal prior in bioelectromagnetic source imaging problems," IEEE Trans. Biomed. Eng., vol. 50, no. 10, pp. 1152-1159, Oct. 2003.
36. C. Mazzaro and M. Sznaier, "Robust Identification and Model (In)Validation of LPV Systems," in Perspectives in Robust Control. London, UK: Springer-Verlag, 2001.
37. B. Messnarz, M. Seger, R. Modre, G. Fischer, F. Hanser, and B. Tilg, "A comparison of noninvasive reconstruction of epicardial versus transmembrane potentials in consideration of the null space," IEEE Trans. Biomed. Eng., vol. 51, no. 9, pp. 1609-1618, Sep. 2004.