A comparative study of graph-based, eikonal, and monodomain simulations for the estimation of cardiac activation times

IEEE Transactions on Biomedical Engineering

Volumn 59, Issue 6, 2012, Pages 1739-1748

  Wallman, Mikael ^a   Smith, Nicolas P ^b   Rodriguez, Blanca ^c  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b FRAUNHOFER CHALMERS CENTRE   (Sweden)

^c KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

Cardiac electrophysiology; eikonal equation; fast marching; monodomain; path finding

Indexed keywords

CARDIAC ELECTROPHYSIOLOGY; EIKONAL EQUATION; FAST-MARCHING; MONODOMAINS; PATH FINDING;

ELECTROPHYSIOLOGY; ESTIMATION; GEOMETRICAL OPTICS; GRAPHIC METHODS; HEART; PARAMETER ESTIMATION; TISSUE;

COST BENEFIT ANALYSIS;

ANIMAL TISSUE; ARTICLE; COMPARATIVE STUDY; EIKONAL EQUATION; EPICARDIUM; EXPERIMENTAL RABBIT; FAST MARCHING METHOD; GRAPH BASED METHOD; HEART; HEART ELECTROPHYSIOLOGY; HEART VENTRICLE; MATHEMATICAL COMPUTING; NONHUMAN; SIMULATION;

ACTION POTENTIALS; ALGORITHMS; ANIMALS; COMPUTER SIMULATION; HEART CONDUCTION SYSTEM; MODELS, CARDIOVASCULAR; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; RABBITS; VENTRICULAR FUNCTION, LEFT;

EID: 84861356326     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/TBME.2012.2193398     Document Type: Article

References (31)

1. L. Tung, "A bi-domain model for describing ischemic myocardial d-c potentials," Ph.D. dissertation, Dept. Electr. Eng. Comput. Sci., MIT, Cambridge, MA, 1978, 2012.
2. J. Keener and J. Sneyd, Mathematical Physiology, 2nd ed. New York: Springer-Verlag, 1998.
3. K.H. T. Tusscher, R. Hren, and A.V. Panfilov, "Organization of ventricular fibrillation in the human heart," Circ. Res., vol. 100, no. 12, pp. 87-101, 2007.
4. B. Rodriguez, L. Li, J. C. Eason, I. R. Efimov, and N. A. Trayanova, "Differences between left and right ventricular chamber geometry affect cardiac vulnerability to electric shocks," Circ. Res., vol. 97, no. 2, pp. 168- 175, 2005. (Pubitemid 41033473)
5. N. A. Trayanova, "Whole-Heart modeling: Applications to cardiac electrophysiology and electromechanics," Circ. Res., vol. 108, no. 1, pp. 113- 128, 2011.
6. P. Pathmanathan, M. O. Bernabeu, R. Bordas, J. Cooper, A. Garny, J. M. Pitt-Francis, J. P. Whiteley, and D. J. Gavaghan, "A numerical guide to the solution of the bidomain equations of cardiac electrophysiology," Progr. Biophys. Mol. Biol., vol. 102, no. 2-3, pp. 136-155, 2010.
7. J. Sundnes, B. F. Nielsen, K. A.Mardal, X. Cai, G. T. Lines, and A. Tveito, "On the computational complexity of the bidomain and the monodomain models of electrophysiology," Ann. Biomed. Eng., vol. 34, no. 7, pp. 1088- 1097, 2006. (Pubitemid 44078474)
8. E. J. Vigmond, R. W. dos Santos, A. J. Prassl, M. Deo, and G. Plank, "Solvers for the cardiac bidomain equations," Progr. Biophys. Mol. Biol., vol. 96, no. 1-3, pp. 3-18, 2008. (Pubitemid 351625294)
9. E. Konukoglu, J. Relan, U. Cilingir, B. H. Menze, P. Chinchapatnam, A. Jadidi, H. Cochet, M. Hocini, H. Delingette, P. Ja?s, M. Alzetani, N. Ayache, and M. Sermesant, "Efficient probabilistic model personalization integrating uncertainty on data and parameters: Application to Eikonal-Diffusion models in cardiac electrophysiology," Progr. Biophys. Mol. Biol., vol. 107, no. 1, pp. 134-146, 2011.
10. R. C. Kerckhoffs, A. D. McCulloch, J. H. Omens, and L. J. Mulligan, "Effects of biventricular pacing and scar size in a computational model of the failing heart with left bundle branch block," Med. Image Anal., vol. 13, no. 2, pp. 362-369, 2009.
11. M. Sermesant, Y. Coudiere, V. Moreau-Villger, K. S. Rhode, D. L. G. Hill, and R. S. Razavi, "A fast-marching approach to cardiac electrophysiology simulation for XMR interventional imaging," in Proc. Med. Image Comput. Comput.-Assist. Intervent., 2005, pp. 607-615. (Pubitemid 43828415)
12. J. P. Keener, "An eikonal-curvature equation for action potential propagation in myocardium," J. Math. Biol., vol. 29, no. 7, pp. 629-651, 1991.
13. P. C. Colli-Franzone and L.Guerri, "Spreading of excitation in 3-D models of the anisotropic cardiac tissue validation of the eikonalmodel," Math. Biosci., vol. 113, no. 2, pp. 145-209, 1993.
14. J. A. Sethian, "A fast marching level set method for monotonically advancing fronts," Proc. Nat. Acad. Sci. USA, vol. 93, no. 4, pp. 1591-1595, 1996. (Pubitemid 26075170)
15. J. A. Sethian and A. Vladimirsky, "Fast methods for the Eikonal and related Hamilton Jacobi equations on unstructured meshes," Proc. Nat. Acad. Sci. USA, vol. 97, no. 11, pp. 5699-5703, 2000. (Pubitemid 30367460)
16. J. A. Sethian and A. Vladimirsky, "Ordered upwind methods for static Hamilton-Jacobi equations: Theory and algorithms," SIAM J. Numer. Anal., vol. 41, no. 1, pp. 325-363, 2004.
17. P. Hart, N. J. Nilsson, and B. Raphael, "A formal basis for the heuristic determination of minimum cost paths," IEEE Trans. Syst. Sci. Cybern., vol. 4, no. 2, pp. 100-107, Jul. 1968.
18. M. Potse, B. Dube, J. Richer, A. Vinet, and R. M. Gulrajani, "A comparison of monodomain and bidomain Reaction-Diffusion models for action potential propagation in the human heart," IEEE Trans. Biomed. Eng., vol. 53, no. 12, pp. 2425-2435, Dec. 2006. (Pubitemid 46019529)
19. M.Wallman, N. Smith, and B. Rodriguez, "Estimation of activation times in cardiac tissue using graph based methods," in Functional Imaging and Modeling of the Heart (Lecture Notes in Computer Science), D. Metaxas and L. Axel, eds., Springer Berlin/Heidelberg, vol. 6666, 2011, pp. 71-79.
20. M. Sermesant, E. Konukoglu, H. Delingette, Y. Coudire, P. Chinchapatnam, K. Rhode, R. Razavi, and N.Ayache, "An anisotropicmulti-front fast marching method for real-time simulation of cardiac electrophysiology," in Proc. 4th Int. Conf. Funct. Imag. Model. Heart, 2007, pp. 160-169. (Pubitemid 47289888)
21. S. Patil and B. Ravi, "Voxel-based representation, display and thickness analysis of intricate shapes," in Proc. 9th Int. Conf. Comput. Aided Design Comput. Graph., 2005, pp. 415-422.
22. D. D. Streeter, H.M. Spotnitz, D. P. Patel, J. Ross, and E. H. Sonnenblick, "Fiber orientation in the canine left ventricle during diastole and systole," Circulat. Res., vol. 24, no. 3, pp. 339-347, 1969.
23. J. Pitt-Francis, P. Pathmanathan, M. O. Bernabeu, R. Bordas, J. Cooper, A. G. Fletcher, G. R. Mirams, P. Murray, J. M. Osborne, A. Walter S. J. Chapman, A. Garny, I. M. M. van Leeuwen, P. K. Maini, B. Rodriguez, S. L.Waters, J. P. Whiteley, H. M. Byrne, and D. J. Gavaghan, "Chaste: A test-driven approach to software development for biological modelling," Comput. Phys. Commun., vol. 180, no. 12, pp. 2452-2471, 2009.
24. H. Ashikaga, T. Sasano, J. Dong, M. M. Zviman, R. Evers, B. Hopenfeld, V. Castro, R. H. Helm, T. Dickfeld, S. Nazarian, J. K. Donahue, R. D. Berger, H. Calkins, M. R. Abraham, E. Marban, A. C. Lardo, E. R. McVeigh, and H. R. Halperin, "Magnetic resonance based anatomical analysis of scar-related ventricular tachycardia: Implications for catheter ablation," Circulat. Res., vol. 101, no. 9, pp. 939-947, 2007. (Pubitemid 350287181)
25. S. Nakahara, R. Tung, R. J. Ramirez, J. Gima, I. Wiener, A. Mahajan, N. G. Boyle, and K. Shivkumar, "Distribution of late potentials within infarct scars assessed by ultra high-density mapping," Heart Rhythm, vol. 7, no. 12, pp. 1817-1824, 2010.
26. P. C. Ursell, P. I. Gardner, A. Albala, and J. J. F. Jr, A. L. Wit, "Structural and electrophysiological changes in the epicardial border zone of canine myocardial infarcts during infarct healing," Circulat. Res., vol. 56, no. 3, pp. 436-451, 1985. (Pubitemid 15119520)
27. A. Mahajan, Y. Shiferaw, D. Sato, A. Baher, R. Olcese, L. H. Xie, M. J. Yang, P. S. Chen, J. G. Restrepo, A. Karma, A. Garfinkel, Z. Qu, and J. N. Weiss, "A rabbit ventricular action potential model replicating cardiac dynamics at rapid heart rates," Biophys. J., vol. 94, no. 2, pp. 392-410, 2008.
28. J. M. Hare, "Cardiac-Resynchronization therapy for heart failure," New Engl. J. Med., vol. 346, no. 24, pp. 1902-1904, 2002.
29. P. M. van Dam, T. F. Oostendorp, and A. Oosterom, "Application of the fastest route algorithm in the interactive simulation of the effect of local ischemia on the ECG," Med. Biol. Eng. Comput., vol. 47, no. 1, pp. 11-20, 2008.
30. A. Pashaei, R. Sebastian, V. Zimmerman, B. H. Bijnens, and A. F. Frangi, "A mesh-less approach for fast estimation of electrical activation time in the ventricular wall," in Proc. Comput. Cardiol., 2009, pp. 209-212.
31. J. Kim and J. P. Hespanha, "Discrete approximations to continuous shortest-path: Application to minimum-risk path planning for groups of UAVs," in Proc. 42nd IEEE Conf. Decis. Control, 2003, vol. 2, pp. 1734- 1740.