An efficient finite element approach for modeling fibrotic clefts in the heart

IEEE Transactions on Biomedical Engineering

Volumn 61, Issue 3, 2014, Pages 900-910

  Costa, Caroline Mendonca ^a   Campos, Fernando O ^a   Prassl, Anton J ^a   Dos Santos, Rodrigo Weber ^b   Sanchez Quintana, Damian ^c   Ahammer, Helmut ^a   Hofer, Ernst ^a   Plank, Gernot ^a  

^a MEDICAL UNIVERSITY OF GRAZ   (Austria)

^b FEDERAL UNIVERSITY OF JUIZ DE FORA   (Brazil)

^c UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

Bidomain equation; computational efficiency; defibrillation; finite element analysis; numerical models; tissue structure

Indexed keywords

BIDOMAIN EQUATION; DEFIBRILLATION; DISCONTINUOUS FINITE ELEMENT; EXPLICIT REPRESENTATION; FINITE-ELEMENT APPROACH; MEDICAL IMAGING TECHNOLOGY; STRUCTURAL DISCONTINUITY; TISSUE STRUCTURE;

COMPUTATIONAL EFFICIENCY; COMPUTER SIMULATION; MEDICAL IMAGING; NUMERICAL MODELS;

FINITE ELEMENT METHOD;

ANIMAL TISSUE; ARTICLE; COMPUTER MODEL; CONDUCTANCE; CONNECTIVE TISSUE; DEFIBRILLATION; DISCONTINUOUS FINITE ELEMENT ANALYSIS; ELECTRODE; ELECTROSTIMULATION; EXTRACELLULAR SPACE; FINITE ELEMENT ANALYSIS; HEART ARRHYTHMIA; HEART MUSCLE; HEART MUSCLE CELL; HEART MUSCLE FIBROSIS; HEART STRUCTURE; HEART VENTRICLE; HISTOLOGY; INTRACELLULAR SPACE; ION CURRENT; MEMBRANE POTENTIAL; NONHUMAN; POLARIZATION; RABBIT; TISSUE STRUCTURE;

ALGORITHMS; ANIMALS; COMPUTER SIMULATION; ENDOMYOCARDIAL FIBROSIS; FINITE ELEMENT ANALYSIS; HEART; HEART VENTRICLES; IMAGE PROCESSING, COMPUTER-ASSISTED; MODELS, CARDIOVASCULAR; MYOCARDIUM; MYOCYTES, CARDIAC; RABBITS;

EID: 84896842485     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/TBME.2013.2292320     Document Type: Article

References (34)

1. W. T. Miller and D. B. Geselowitz, "Simulation studies of the electrocardiogram-Part I: The normal heart," Circ. Res., vol. 43, no. 2, pp. 301-315, Aug. 1978. (Pubitemid 9004291)
2. N. G. Sepulveda, B. J. Roth, and J. Wikswo, Jr. (1989, May). Current injection into a two-dimensional anisotropic bidomain. Biophys. J. [Online]. 55(5), pp. 987-999. Available: http://dx.doi.org/10.1016/S0006-3495(89) 82897-8
3. M. S. Spach, "The discontinuous nature of electrical propagation in cardiac muscle. Consideration of a quantitative model incorporating the membrane ionic properties and structural complexities. The ALZA distinguished lecture," Ann. Biomed. Eng., vol. 11, no. 3-4, pp. 209-261, 1983.
4. V. G. Fast, S. Rohr, A. M. Gillis, and A. G. Kĺeber, "Activation of cardiac tissue by extracellular electrical shocks: Formation of 'secondary sources' at intercellular clefts in monolayers of cultured myocytes," Circ. Res., vol. 82, no. 3, pp. 375-385, Feb. 1998. (Pubitemid 28101195)
5. F. Campos, T. Wiener, A. Prassl, R. Weber Dos Santos, D. Sanchez-Quintana, H. Ahammer, G. Plank, and E. Hofer. (2013, Apr.). Electroanatomical characterization of atrial microfibrosis in a histologically detailed computer model. IEEE Trans. Biomed. Eng. [Online]. 60(8).Available: http://dx.doi.org/10.1109/TBME.2013.2256359
6. G. Plank, R. A. Burton, P. Hales,M.Bishop, T. Mansoori, M. O. Bernabeu, A. Garny, A. J. Prassl, C. Bollensdorff, F. Mason, F. Mahmood, B. Rodriguez, V. Grau, J. E. Schneider, D. Gavaghan, and P. Kohl, "Generation of histo-anatomically representative models of the individual heart: Tools and application," Philos. Transact. AMath Phys. Eng. Sci., vol. 367, no. 1896, pp. 2257-2292, 2009.
7. M. J. Bishop, G. Plank, R. A. B. Burton, J. E. Schneider,D. J.Gavaghan,V. Grau, and P. Kohl. (2010, Feb.). Development of an anatomically detailed mri-derived rabbit ventricular model and assessment of its impact on simulations of electrophysiological function. Am. J. Physiol. Heart Circ. Physiol. [Online]. 298(2), pp. H699-H718. Available: http://dx.doi.org/10.1152/ajpheart. 00606.2009
8. W. J. Karlon, J. W. Covell, A. D. McCulloch, J. J. Hunter, and J. H. Omens, "Automated measurement of myofiber disarray in transgenic mice with ventricular expression of RAS," Anat. Rec., vol. 252, no. 4, pp. 612-625, 1998. (Pubitemid 28533409)
9. R. Weber dos Santos, U. Steinhoff, E. Hofer, D. Śanchez-Quintana, and H. Koch, "Modelling the electrical propagation in cardiac tissue using detailed histological data," Biomedizinische Technik. Biomed. Eng., vol. 48, pp. 476-479, 2003.
10. M. Bishop, G. Plank, and E. Vigmond, "Investigating the role of the coronary vasculature in the mechanisms of defibrillation clinical perspective," Circ. Arrhythm Electrophysiol., vol. 5, pp. 210-219, 2012.
11. K. Skouibine, N. Trayanova, and P. Moore, "Anode/cathode make and break phenomena in a model of defibrillation," IEEE Trans Biomed Eng., vol. 46, no. 7, pp. 769-777, Jul. 1999.
12. E. Vigmond, M. Hughes, G. Plank, and L. Joshua Leon, "Computational tools for modeling electrical activity in cardiac tissue," J. Electrocardiol., vol. 36, pp. 69-74, 2003. (Pubitemid 38049764)
13. G. Plank, M. Liebmann, R. W. dos Santos, E. J. Vigmond, and G. Haase, "Algebraic multigrid preconditioner for the cardiac bidomain model," IEEE Trans. Biomed. Eng., vol. 54, no. 4, pp. 585-596, Apr. 2007. (Pubitemid 46469939)
14. E. J. Vigmond, R. W. dos Santos, A. J. Prassl, M. Deo, and G. Plank, "Solvers for the cardiac bidomain equations," Prog. Biophys. Mol. Biol., vol. 96, no. 1-3, pp. 3-18, 2008. (Pubitemid 351625294)
15. G. Plank, L. Zhou, J. L. Greenstein, S. Cortassa, R. L. Winslow, B. O'Rourke, and N. A. Trayanova. (2008, Sep.). From mitochondrial ion channels to arrhythmias in the heart: Computational techniques to bridge the spatio-temporal scales. Philos. Trans. A, Math. Phys. Eng. Sci. [Online]. 366(1879), pp. 3381-3409. Available: http://dx.doi.org/10.1098/rsta.2008.0112
16. F. H. Fenton, S. Luther, E. M. Cherry, N. F. Otani, V. Krinsky, A. Pumir, E. Bodenschatz, and R. F. Gilmour, Jr. (2009, Aug.). Termination of atrial fibrillation using pulsed low-energy far-field stimulation. Circulation [Online]. 120(6), pp. 467-476. Available: http://dx.doi.org/10.1161/ CIRCULATIONAHA.108.825091
17. S. Luther, F. H. Fenton, B. G. Kornreich, A. Squires, P. Bittihn, D. Hornung, M. Zabel, J. Flanders, A. Gladuli, L. Campoy, E. M. Cherry, G. Luther, G. Hasenfuss, V. I. Krinsky, A. Pumir, R. F. Gilmour, Jr, and E. Bodenschatz. (2011, Jul.). Low-energy control of electrical turbulence in the heart. Nature [Online]. 475(7355), pp. 235-239. Available: http://dx.doi.org/10.1038/ nature10216
18. G. Plank, A. Prassl, E. Hofer, and N. A. Trayanova. (2008, Mar.). Evaluating intramural virtual electrodes in the myocardial wedge preparation: Simulations of experimental conditions. Biophys. J. [Online]. 94(5), pp. 1904-1915. Available: http://dx.doi.org/10.1529/biophysj.107.121343
19. M. J. Bishop, G. Plank, and E. Vigmond. (2012, Feb.). Investigating the role of the coronary vasculature in the mechanisms of defibrillation. Circ. Arrhythm Electrophysiol. [Online]. 5(1), pp. 210-219. Available: http://dx.doi.org/10.1161/CIRCEP.111.965095
20. S. de Jong, T. A. B. van Veen, H. V. M. van Rijen, and J. M. T. de Bakker. (2011, Jun.). Fibrosis and cardiac arrhythmias. J. Cardiovasc. Pharmacol. [Online]. 57(6), pp. 630-638. Available: http://dx.doi.org/10.1097/ FJC. 0b013e318207a35f
21. P. L. Rensma, M. A. Allessie, W. J. Lammers, F. I. Bonke, and M. J. Schalij, "Length of excitation wave and susceptibility to reentrant atrial arrhythmias in normal conscious dogs," Circ. Res., vol. 62, no. 2, pp. 395-410, 1988. (Pubitemid 18041961)
22. J. E. Schneider, J. B̈ose, S. D. Bamforth, A. D. Gruber, C. Broadbent, K. Clarke, S. Neubauer, A. Lengeling, and S. Bhattacharya. (2004). Identification of cardiac malformations in mice lacking PTDSR using a novel high-throughput magnetic resonance imaging technique. BMC Dev. Biol. [Online]. 4, p. 16. [Online]. Available: http://dx.doi.org/10.1186/1471-213X-4-16
23. S. Niederer, L. Mitchell, N. Smith, and G. Plank. (2011). Simulating human cardiac electrophysiology on clinical time-scales. Front Physiol. [Online]. 2, p. 14. Available: http://dx.doi.org/10.3389/fphys.2011.00014
24. A. Neic, M. Liebmann, E. Hoetzl, L. Mitchell, E. J. Vigmond, G. Haase, and G. Plank. (2012, Aug.). Accelerating cardiac bidomain simulations using graphics processing units. IEEE Trans. Biomed. Eng. [Online]. 59(8), pp. 2281-2290. Available: http://dx.doi.org/10.1109/TBME.2012. 2202661
25. D. F. Richards, J. N. Glosli, E. W. Draeger, A. A. Mirin, B. Chan, J.-L. Fattebert, W. D. Krauss, T. Oppelstrup, C. J. Butler, J. A. Gunnels, V. Gurev, C. Kim, J. Magerlein, M. Reumann, H.-F. Wen, and J. J. Rice. (2013, Jun.). Towards real-time simulation of cardiac electrophysiology in a human heart at high resolution. Comput.Methods Biomech. Biomed. Eng. [Online]. Available: http://dx.doi.org/10.1080/10255842.2013.795556
26. A. J. Prassl, F. Kickinger, H. Ahammer, V. Grau, J. E. Schneider, E. Hofer, E. J.Vigmond, N. A.Trayanova, andG. Plank. (2009, May).Automatically generated, anatomically accurate meshes for cardiac electrophysiology problems. IEEE Trans. Biomed. Eng. [Online]. 56(5), pp. 1318-1330. Available: http://dx.doi.org/10.1109/TBME.2009.2014243
27. S. Institute. (2013). bioMesh3D: Quality Mesh Generator for Biomedical Applications. Scientific Computing and Imaging Institute (SCI). [Online]. Available: http://www.biomesh3d.org
28. A. D. Hooks, A. K. Tomlinson, G. S. Marsden, I. J. LeGrice, B. H. Smaill, A. J. Pullan, and P. J. Hunter, "Cardiac microstructure: Implications for electrical propagation and defibrillation in the heart," Circulat. Res., vol. 91, pp. 331-338, 2002. (Pubitemid 34976999)
29. D. A. Hooks,M. L. Trew, B. H. Smaill, and A. J. Pullan. (2006, Mar.). Do intramural virtual electrodes facilitate successful defibrillation? modelbased analysis of experimental evidence. J. Cardiovasc. Electrophysiol. [Online]. 17(3), pp. 305-311. Available: http://dx.doi.org/10.1111/j.1540-8167.2006.00360. x (Pubitemid 43344943)
30. C. M. Costa, F. O. Campos, A. J. Prassl, R. W. dos Santos, D. Sanchez-Quintana, E. Hofer, andG. Plank, "A finite element approach formodeling micro-structural discontinuities in the heart," in Proc. IEEE Eng. Med. Biol. Soc., 2011, pp. 437-440.
31. K. McDowell, F. Vadakkumpadan, R. Blake, J. Blauer, G. Plank, R. MacLeod, and N. Trayanova, "Mechanistic inquiry into the role of tissue remodeling in fibrotic lesions in human atrial fibrillation," Commun. ACM, vol. 104, no. 12, 2013.
32. A. Grillo, D. Logashenko, S. Stichel, and G. Wittum, "Simulation of density-driven flow in fractured porous media.," Adv. Water Res., vol. 33, pp. 1494-1507, 2010.
33. T. Moes and N. Dolbow J. Belytschko, "A finite element method for crack growth without remeshing," Int. J. Numer. Meth. Eng., vol. 46, pp. 131-150, 1999.
34. M. Trew, I. L. Grice, B. Smaill, and A. Pullan, "A finite volume method for modeling discontinuous electrical activation in cardiac tissue," Ann. Biomed. Eng., vol. 33, no. 5, pp. 590-602, May 2005. (Pubitemid 40890921)