- Maxime Sermesant1,2,
- Ender Konukog̃lu1,
- Hervé Delingette1,
- Yves Coudière4,
- Phani Chinchapatnam3,
- Kawal S. Rhode2,
- Reza Razavi2 &
- …
- Nicholas Ayache1
Part of the book series:Lecture Notes in Computer Science ((LNIP,volume 4466))
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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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References
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,IKr andIKs, 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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Authors and Affiliations
INRIA Sophia Antipolis, Asclepios Team, France
Maxime Sermesant, Ender Konukog̃lu, Hervé Delingette & Nicholas Ayache
King’s College London, Division of Imaging Sciences, UK
Maxime Sermesant, Kawal S. Rhode & Reza Razavi
University College London, Centre for Medical Image Computing, UK
Phani Chinchapatnam
Nantes University, Jean Leray Mathematics Laboratory, France
Yves Coudière
- Maxime Sermesant
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- Ender Konukog̃lu
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- Hervé Delingette
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- Yves Coudière
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- Phani Chinchapatnam
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- Kawal S. Rhode
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- Reza Razavi
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- Nicholas Ayache
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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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