Bibliography

Major publications by the team in recent years

• 1B. Andreianov, M. Bendahmane, K. H. Karlsen, C. Pierre.
  Convergence of discrete duality finite volume schemes for the cardiac bidomain model, in: Networks and Heterogeneous Media, 2011, vol. 6, n^o 2, pp. 195-240.
  http://hal.archives-ouvertes.fr/hal-00526047
• 2A. Azzouzi, Y. Coudière, R. Turpault, N. Zemzemi.
  A mathematical model of Purkinje-Muscle Junctions, in: Mathematical Biosciences and Engineering, 2011, vol. 8, n^o 4, pp. 915-930.
• 3M. Bendahmane, R. Bürger, R. Ruiz-Baier.
  A finite volume scheme for cardiac propagation in media with isotropic conductivities, in: Mathematics and Computers in Simulation, 2010, vol. 80, n^o 9, pp. 1821–1840.
• 4M. Bendahmane, Raymond. Bürger, R. Ruiz-Baier.
  A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology, in: Numerical Methods for Partial Differential Equations, 2010, vol. 26, n^o 6, pp. 1377–1404.
• 5M. Bendahmane, Kenneth H. Karlsen.
  Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue, in: Networks and Heterogeneous Media, 2006, vol. 1, n^o 1, pp. 185-218.
• 6M. Bendahmane, K. H. Karlsen.
  Convergence of a finite volume scheme for the bidomain model of cardiac tissue, in: Applied Numerical Mathematics, 2009, vol. 59, n^o 9, pp. 2266 - 2284, Second Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2007). [ DOI : 10.1016/j.apnum.2008.12.016 ]
  http://www.sciencedirect.com/science/article/pii/S0168927408002171
• 7M. Boulakia, S. Cazeau, M. A. Fernández, J.-F. Gerbeau, N. Zemzemi.
  Mathematical Modeling of Electrocardiograms: A Numerical Study, in: Annals of Biomedical Engineering, 2010, vol. 38, pp. 1071-1097.
  http://dx.doi.org/10.1007/s10439-009-9873-0
• 8M. Boulakia, M. A. Fernández, J.-F. Gerbeau, N. Zemzemi.
  Numerical simulations of electrocardiograms, in: Modeling of Physiological Flows, D. Ambrosi, A. Quarteroni, G. Rozza (editors), Springer, 2011, pp. 77-106.
  http://hal.inria.fr/hal-00652367
• 9M. Boulakia, M. A. Fernández, J.-F. Gerbeau, N. Zemzemi.
  A Coupled System of PDEs and ODEs Arising in Electrocardiograms Modeling, in: Applied Mathematics Research eXpress, 2008, vol. 2008.
• 10Y. Bourgault, Y. Coudière, C. Pierre.
  Existence And Uniqueness Of The Solution For The Bidomain Model Used In Cardiac Electrophysiology, in: Nonlinear Anal. Real World Appl., 2009, vol. 10, n^o 1, pp. 458-482.
  http://hal.archives-ouvertes.fr/hal-00101458/fr
• 11Y. Coudière, Y. Bourgault, M. Rioux.
  Optimal monodomain approximations of the bidomain equations used in cardiac electrophysiology, Inria, November 2011, n^o RR-7810, 31 p.
  http://hal.inria.fr/hal-00644257
• 12Y. Coudière, C. Pierre.
  Stability And Convergence Of A Finite Volume Method For Two Systems Of Reaction-Diffusion Equations In Electro-Cardiology, in: Nonlinear Anal. Real World Appl., 2006, vol. 7, n^o 4, pp. 916–935.
  http://hal.archives-ouvertes.fr/hal-00016816/fr
• 13Y. Coudière, C. Pierre, O. Rousseau, R. Turpault.
  A 2D/3D Discrete Duality Finite Volume Scheme. Application to ECG simulation, in: International Journal on Finite Volumes, 2009, vol. 6, n^o 1.
  http://hal.archives-ouvertes.fr/hal-00328251/fr
• 14Miguel Angel. Fernández, N. Zemzemi.
  Decoupled time-marching schemes in computational cardiac electrophysiology and ECG numerical simulation, in: Math. Biosci., 2010, vol. 226, n^o 1, pp. 58-75.
• 15C. Pierre.
  Preconditioning the bidomain model with almost linear complexity, in: Journal of Computational Physics, January 2012, vol. 231, n^o 1, pp. 82–97. [ DOI : 10.1016/j.jcp.2011.08.025 ]
  http://www.sciencedirect.com/science/article/pii/S0021999111005122

Publications of the year

Doctoral Dissertations and Habilitation Theses

• 16S. Labarthe.
  Modélisation de l'activité électrique des oreillettes et des veines pulmonaires, Université Victor Segalen - Bordeaux II, December 2013.
  http://hal.inria.fr/tel-00925253

Articles in International Peer-Reviewed Journals

• 17G. Dumont, J. Henry.
  Synchronization of an Excitatory Integrate-and-Fire Neural Network, in: Bulletin of Mathematical Biology, February 2013, vol. 75, n^o 4, pp. 629-648. [ DOI : 10.1007/s11538-013-9823-8 ]
  http://hal.inria.fr/hal-00822472
• 18M. G. Hoogendijk, M. Potse, R. Coronel.
  Critical appraisal of the mechanism underlying J waves, in: Journal of Electrocardiology, September 2013, vol. 46, n^o 5, pp. 390-4. [ DOI : 10.1016/j.jelectrocard.2013.06.017 ]
  http://hal.inria.fr/hal-00906519

International Conferences with Proceedings

• 19S. Labarthe, E. Vigmond, Y. Coudière, J. Henry, H. Cochet, P. Jais.
  A Computational Bilayer Surface Model of Human Atria, in: FIMH 2013 - 7th International Conference on Fonctional Imaging and Modeling of the Heart, London, United Kingdom, Lecture Notes In Computer Sciences, Springer, March 2013.
  http://hal.inria.fr/hal-00802104
• 20S. Labarthe, E. Vigmond, Y. Coudière, J. Henry, H. Cochet, P. Jais.
  Influence of Transmural Slow-Conduction Zones on the Long- Time Behaviour Of Atrial Arrhythmia. A Numerical Study with a Human Bilayer Atrial Model, in: CINC - Computing in Cardiology 2013, Zaragoza, Spain, December 2013, vol. 40, pp. 1187-1190.
  http://hal.inria.fr/hal-00921262
• 21E. Vigmond, S. Labarthe, H. Cochet, Y. Coudière, J. Henry, P. Jais.
  A Bilayer Representation of the Human Atria, in: EMBC - 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2013, Osaka, Japan, IEEE, October 2013, pp. 1530-1533. [ DOI : 10.1109/EMBC.2013.6609804 ]
  http://hal.inria.fr/hal-00837671
• 22N. Zemzemi, R. Dubois, Y. Coudière, O. Bernus, M. Haïssaguerre.
  A Machine Learning Technique Regularization of the Inverse Problem in Cardiac Electrophysiology, in: CinC - Computing in Cardiology Conference, Zaragoza, Spain, P. Laguna (editor), IEEE, December 2013, pp. 285-312.
  http://hal.inria.fr/hal-00920954
• 23N. Zemzemi.
  A Steklov-Poincaré Variational Formulation of the Inverse Problem in Cardiac Electrophysiology, in: CinC - Computing in Cardiology Conference, Zaragoza, Spain, P. Laguna (editor), IEEE, December 2013, 193 p.
  http://hal.inria.fr/hal-00920960

Conferences without Proceedings

• 24V. Baron, Y. Coudière, P. Sochala.
  Comparison of DDFV and DG Methods for Flow in Anisotropic Heterogeneous Porous Media, in: SIAM Conference on Mathematical & Computational Issues in the Geosciences, Padova, Italy, June 2013.
  http://hal.inria.fr/hal-00817872
• 25M. Potse, T. Lankveld, S. Zeemering, N. Kuijpers, U. Schotten.
  Measured and Simulated P Waves in Normal Subjects Reflect Complex Atrial Anatomy, in: 40th International Congress on Electrocardiology, Glasgow, United Kingdom, August 2013. [ DOI : 10.1016/j.jelectrocard.2013.05.067 ]
  http://hal.inria.fr/hal-00906507

Other Publications

• 26J. Bouyssier, N. Zemzemi, J. Henry.
  Inverse problem in electrocardiography via factorization method of boundary problems : how reconstruct epicardial potential maps from measurements of the torso ?, October 2013, Poster Workshop Liryc, 24 et 25 Octobre 2013, Bordeaux.
  http://hal.inria.fr/hal-00926344
• 27C. Corrado, N. Zemzemi, Y. Coudière.
  Reduced Order Methods: Faster Solvers For Cardiac Electro-physiology problems, October 2013, Poster pour workshop LIRYC.
  http://hal.inria.fr/hal-00925809
• 28Y. Coudière, J. Henry, S. Labarthe.
  An asymptotic two layers monodomain model of cardiac electrophysiology in the atria, December 2013.
  http://hal.inria.fr/hal-00922717
• 29A. Davidovic, Y. Coudière, C. Poignard.
  Influence of periodic diffusive inclusions on the bidomain model, in: Workshop Liryc, Bordeaux, France, 2013, Workshop Liryc.
  http://hal.inria.fr/hal-00937884
• 30M. Juhoor, Y. Coudière, N. Zemzemi.
  C.E.P.S. : an efficient tool for cardiac electrophysiology simulations, in: Workshop LIRYC, Bordeaux, France, October 2013, Workshop LIRYC.
  http://hal.inria.fr/hal-00925834
• 31S. Labarthe, Y. Coudière, J. Henry.
  Numerical modeling of the electrical activity of the atria and the pulmonary veins, in: Workshop IHU Liryc, Pessac, France, October 2013, Workshop IHU Liryc.
  http://hal.inria.fr/hal-00926441
• 32S. Labarthe, Y. Coudière, J. Henry.
  Superposition de couches de fibres et propagations anormales : une étude numérique, in: Printemps de la Cardiologie, Marseille, France, April 2013.
  http://hal.inria.fr/hal-00926480
• 33G. Ravon, Y. Coudière, A. Iollo, O. Bernus.
  3D Source location in optical mapping, in: Workshop Liryc, Pessac, France, October 2013, Workshop Liryc.
  http://hal.inria.fr/hal-00925812

References in notes

• 34S. Durrleman.
  Modèles statistiques de courants pour mesurer la variabilité anatomique de courbes, de surfaces et de leur évolution, Université de Nice Sophia-Antipolis, 2010.
• 35F. Jday.
  Complétion de données frontières : la méthode de plongement invariant, ENIT, Université de Tunis, 2012.
• 36V. D. Khait, O. Bernus, S. F. Mironov, A. M. Pertsov.
  Method for the three-dimensional localization of intramyocardial excitation centers using optical imaging, in: Journal of Biomedical Optics, 2006, vol. 11, n^o 3.
  http://dx.doi.org/10.1117/1.2204030
• 37K. S. McDowell, F. Vadakkumpadan, R. Blake, J. Blauer, G. Plank, R. S. MacLeod, N. A. Trayanova.
  Methodology for patient-specific modeling of atrial fibrosis as a substrate for atrial fibrillation, in: Journal of Electrocardiology, 2012, vol. 45, n^o 6, pp. 640 - 645. [ DOI : 10.1016/j.jelectrocard.2012.08.005 ]
  http://www.sciencedirect.com/science/article/pii/S0022073612003068
• 38E. Pernod, M. Sermesant, E. Konukoglu, J. Relan, H. Delingette, N. Ayache.
  A multi-front eikonal model of cardiac electrophysiology for interactive simulation of radio-frequency ablation, in: Computers & Graphics, 2011, vol. 35, n^o 2, pp. 431–440.