Abstract
Cardiac arrhythmias can develop complex electrophysiological patterns which complexify the planning and control of therapies, especially in the context of radio-frequency ablation. The development of electrophysiology models aims at testing different therapy strategies. However, current models are computationally expensive and often too complex to be adjusted with limited clinical data. In this paper, we propose a real-time method to simulate cardiac electrophysiology on triangular meshes. This model is based on a multi-front integration of the Fast Marching Method. This efficient approach opens new possibilities, including the ability to directly integrate modelling in the interventional room.
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Aliev, R., Panfilov, A.: A simple two-variable model of cardiac excitation. Chaos, Solitons and Fractals 7(3), 293–301 (1996)
FitzHugh, R.: Impulses and physiological states in theoretical models of nerve membrane. Biophysical Journal 1, 445–466 (1961)
Colli Franzone, P., Guerri, L., Rovida, S.: Wavefront propagation in activation model of the anisotropic cardiac tissue: Asymptotic analysis and numerical simulations. J. Math. Biol. (1990)
Hodgkin, A., Huxley, A.: A quantitative description of membrane current and its application to conduction and excitation in nerve. Journal of Physiology 177, 500–544 (1952)
Kao, C., Osher, S., Tsai, Y.: Fast sweeping methods for static hamilton-jacobi equations. SIAM J. Numer. Anal. 42 (2005)
Keener, J., Sneyd, J.: Mathematical Physiology. Springer, Heidelberg (1998)
Kevorkian, J.: Partial differential equations: Analytical solution techniques. Springer, Heidelberg (2000)
[ERROR while converting LaTeX/Unicode], E., Sermesant, M., Peyrat, J-M., Clatz, O., Delingette, H., Ayache, N.: A recursive anisotropic fast marching approach to reaction diffusion equation: Application to tumor growth modeling. In: Information Processing in Medical Imaging (IPMI’07). LNCS, Springer, Heidelberg (2007) (Accepted)
Luo, C., Rudy, Y.: A model of the ventricular cardiac action potential: depolarization, repolarization, and their interaction. Circulation Research 68, 1501–1526 (1991)
Noble, D., Varghese, A., Kohl, P., Noble, P.: Improved guinea-pig ventricular cell model incorporating a diadic space, I Kr and I Ks , and length and tension dependent processes. Canadian Journal of Cardiology 14, 123–134 (1998)
Pollard, A., Hooke, N., Henriquez, C.: Cardiac propagation simulation. Critical Reviews in biomedical Engineering 20(3,4), 171–210 (1992)
Qian, J., Zhang, Y., Zhao, H.: A fast sweeping method for static convex hamilton-jacobi equations. UCLA Computational and Applied Mathematics Reports, 06-37 (2006)
Rhode, K., Sermesant, M., Brogan, D., Hegde, S., Hipwell, J., Lambiase, P., Rosenthal, E., Bucknall, C., Qureshi, S., Gill, J., Razavi, R., Hill, D.: A system for real-time XMR guided cardiovascular intervention. IEEE Transactions on Medical Imaging 24(11), 1428–1440 (2005)
Sermesant, M., Coudière, Y., Moreau-Villéger, V., Rhode, K.S., Hill, D.L.G, Ravazi, R.: A fast-marching approach to cardiac electrophysiology simulation for XMR interventional imaging. In: Duncan, J.S., Gerig, G. (eds.) MICCAI 2005. LNCS, vol. 3750, pp. 607–615. Springer, Heidelberg (2005)
Sethian, J., Vladimirsky, A.: Ordered upwind methods for static hamilton-jacobi equations: theory and algorithms. SIAM J. Numer. Anal. 41 (2003)
Sethian, J.A.: Level set methods and fast marching methods: Evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science. Cambridge University Press, Cambridge (1999)
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Sermesant, M. et al. (2007). An Anisotropic Multi-front Fast Marching Method for Real-Time Simulation of Cardiac Electrophysiology. In: Sachse, F.B., Seemann, G. (eds) Functional Imaging and Modeling of the Heart. FIMH 2007. Lecture Notes in Computer Science, vol 4466. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72907-5_17
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DOI: https://doi.org/10.1007/978-3-540-72907-5_17
Publisher Name: Springer, Berlin, Heidelberg
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