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.
• 3Y. 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
• 4Y. 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
• 5Y. 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
• 6P. W. Macfarlane, C. Antzelevitch, M. Haïssaguerre, H. V. Huikuri, M. Potse, R. Rosso, F. Sacher, J. T. Tikkanen, H. Wellens, G.-X. Yan.
  The Early Repolarization Pattern; A Consensus Paper, in: Journal of the American College of Cardiology, 2015, vol. 66, pp. 470-477.
  http://dx.doi.org/10.1016/j.jacc.2015.05.033
• 7V. M. F. Meijborg, M. Potse, C. E. Conrath, C. N. W. Belterman, J. M. T. de Bakker, R. Coronel.
  Reduced Sodium Current in the Lateral Ventricular Wall Induces Inferolateral J-Waves, in: Front Physiol, August 2016, vol. 7, n^o 365. [ DOI : 10.3389/fphys.2016.00365 ]
  https://hal.inria.fr/hal-01386905
• 8C. 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

• 9C. Douanla Lontsi.
  High order schemes for realistic simulations in cardiac electrophysiology, Université de Bordeaux, November 2017.
  https://hal.archives-ouvertes.fr/tel-01647395

Articles in International Peer-Reviewed Journals

• 10E. Abbate, M. Boulakia, Y. Coudière, J.-F. Gerbeau, P. Zitoun, N. Zemzemi.
  In silico assessment of the effects of various compounds in MEA/hiPSC-CM assays: Modelling and numerical simulations, in: Journal of Pharmacological and Toxicological Methods, July 2017, forthcoming.
  https://hal.inria.fr/hal-01562673
• 11S. Aouadi, W. Mbarki, N. Zemzemi.
  Stability analysis of decoupled time-stepping schemes for the specialized conduction system/myocardium coupled problem in cardiology, in: Mathematical Modelling of Natural Phenomena, October 2017, vol. 12, n^o 5, pp. 208-239. [ DOI : 10.1051/mmnp/201712513 ]
  https://hal.inria.fr/hal-01655411
• 12F. Beltrán-Molina, J. Requena-Carrión, F. Alonso-Atienza, N. Zemzemi.
  An Analytical Model for the Effects of the Spatial Resolution of Electrode Systems on the Spectrum of Cardiac Signals, in: IEEE Access, August 2017, vol. 5, pp. 18488-18497. [ DOI : 10.1109/ACCESS.2017.2747632 ]
  https://hal.inria.fr/hal-01655418
• 13M. Bendahmane, N. Chamakuri.
  Numerical Analysis of a Finite Element Method for an Optimal Control of Bidomain-bath Model, in: Journal of Differential Equations, July 2017, vol. 263, n^o 5, pp. 2419–2456.
  https://hal.inria.fr/hal-01259773
• 14C. Corrado, N. Zemzemi.
  A conduction velocity adapted eikonal model for electrophysiology problems with re-excitability evaluation, in: Medical Image Analysis, January 2018, vol. 43, pp. 186-197. [ DOI : 10.1016/j.media.2017.11.002 ]
  https://hal.inria.fr/hal-01655410
• 15Y. Coudière, J. Henry, S. Labarthe.
  An asymptotic two-layer monodomain model of cardiac electrophysiology in the atria: derivation and convergence *, in: SIAM J. APPL. MATH., 2017, vol. 77, n^o 2, pp. 409 - 429. [ DOI : 10.1137/15M1016886 ]
  https://hal.inria.fr/hal-00922717
• 16Y. Coudière, R. Turpault.
  Very high order finite volume methods for cardiac electrophysiology, in: Computers and Mathematics with Applications, June 2017. [ DOI : 10.1016/j.camwa.2017.05.012 ]
  https://hal.archives-ouvertes.fr/hal-01532105
• 17J. Duchateau, M. Potse, R. Dubois.
  Spatially Coherent Activation Maps for Electrocardiographic Imaging, in: IEEE Transactions on Biomedical Engineering, May 2017, vol. 64, pp. 1149-1156. [ DOI : 10.1109/TBME.2016.2593003 ]
  https://hal.inria.fr/hal-01386890
• 18F. Maffessanti, J. Wanten, M. Potse, F. Regoli, M. L. Caputo, G. Conte, D. Sürder, A. Illner, R. Krause, T. Moccetti, A. Auricchio, F. W. Prinzen.
  The relation between local repolarization and T-wave morphology in heart failure patients, in: International Journal of Cardiology, February 2017, vol. 241, pp. 270 - 276. [ DOI : 10.1016/j.ijcard.2017.02.056 ]
  https://hal.inria.fr/hal-01567816
• 19S. Pezzuto, P. Kaľavský, M. Potse, F. W. Prinzen, A. Auricchio, R. Krause.
  Evaluation of a Rapid Anisotropic Model for ECG Simulation, in: Frontiers in Physiology Front. Physiol, May 2017, vol. 8, 265 p. [ DOI : 10.3389/fphys.2017.00265 ]
  https://hal.inria.fr/hal-01567861
• 20F. Raphel, M. Boulakia, N. Zemzemi, Y. Coudière, J.-M. Guillon, P. Zitoun, J.-F. Gerbeau.
  Identification of ion currents components generating field potential recorded in MEA from hiPSC-CM, in: IEEE Transactions on Biomedical Engineering, 2017, In press. [ DOI : 10.1109/TBME.2017.2748798 ]
  https://hal.archives-ouvertes.fr/hal-01570341

International Conferences with Proceedings

• 21M. Addouche, N. Bouarroudj, J. Henry, F. Jday, N. Zemzemi.
  New approach for solving electrocardiography imaging inverse problem with missing data on the body surface, in: Tendances des Applications Mathématiques en Tunisie, Algérie, Maroc 10-13 mai 2017, Hammamet, Tunisia, May 2017.
  https://hal.inria.fr/hal-01567821
• 22L. Bear, P. Huntjens, M. Potse, J. Duchateau, S. Ploux, R. Dubois.
  A novel method for deriving the 12-lead ECG from body surface potential maps, in: Computing in Cardiology, Rennes, France, September 2017.
  https://hal.inria.fr/hal-01568004
• 23J. Chamorro-Servent, R. Dubois, M. Potse, Y. Coudière.
  Improving the Spatial Solution of Electrocardiographic Imaging: A New Regularization Parameter Choice Technique for the Tikhonov Method, in: 9th International Conference on Functional Imaging and Modelling of the Heart - FIMH 2017, Toronto, Canada, M. Pop, G. A. Wright (editors), Functional Imaging and Modelling of the Heart, Springer International Publishing, June 2017, vol. 10263, pp. 289-300. [ DOI : 10.1007/978-3-319-59448-4_28 ]
  https://hal.archives-ouvertes.fr/hal-01564899
• 24C. Chavez, N. Zemzemi, Y. Coudière, F. Alonso-Atienza, D. Alvarez.
  Inverse Problem of Electrocardiography: estimating the location of cardiac isquemia in a 3D geometry, in: Functional Imaging and modelling of the heart (FIMH2015), Maastricht, Netherlands, Springer International Publishing, June 2017, vol. 9126. [ DOI : 10.1007/978-3-319-20309-6_45 ]
  https://hal.archives-ouvertes.fr/hal-01222385
• 26M. Meo, M. Potse, S. Puyo, L. Bear, M. Hocini, M. Haïssaguerre, R. Dubois.
  Non Invasive Assessment of Spatiotemporal Organization of Ventricular Fibrillation through Principal Component Analysis, in: Computing in Cardiology, Rennes, France, September 2017.
  https://hal.inria.fr/hal-01567972
• 27G. Ravon, R. Dubois, Y. Coudière, M. Potse.
  A Parameter Optimization to Solve the Inverse Problem in Electrocardiography, in: FIMH 2017 - 9th International Conference on Functional Imaging and Modelling of the Heart, Toronto, Canada, Functional Imaging and Modelling of the Heart, Springer, June 2017, vol. 10263, pp. 219-229. [ DOI : 10.1007/978-3-319-59448-4_21 ]
  https://hal.archives-ouvertes.fr/hal-01572076

Conferences without Proceedings

• 28P.-E. Bécue, M. Potse, Y. Coudière.
  A Three-Dimensional Computational Model of Action Potential Propagation Through a Network of Individual Cells, in: Computing in Cardiology 2017, Rennes, France, September 2017, pp. 1-4.
  https://hal.inria.fr/hal-01592178
• 29A. Davidović, Y. Coudière, Y. Bourgault.
  Image-Based Modeling of the Heterogeneity of Propagation of the Cardiac Action Potential. Example of Rat Heart High Resolution MRI, in: 9th international conference on Functional Imaging and Modeling of the Heart (FIMH 2017), Toronto, Canada, M. Pop, G. Wright (editors), Functional Imaging and Modelling of the Heart 9th International Conference, FIMH 2017, Toronto, ON, Canada, June 11-13, 2017, Proceedings, Springer, June 2017, vol. 10263, pp. 260-270. [ DOI : 10.1007/978-3-319-59448-4_25 ]
  https://hal.archives-ouvertes.fr/hal-01563770
• 30U. C. Nguyên, M. Potse, K. Vernooy, R. Krause, A. Auricchio, F. W. Prinzen.
  An in-silico analysis of the effect of changing activation wavefronts on voltage amplitudes in patients with heart failure, in: EHRA Europace - Cardiostim 2017, Vienna, Austria, June 2017. [ DOI : 10.1093/ehjci/eux135.003 ]
  https://hal.inria.fr/hal-01568032
• 31S. Pezzuto, P. Kaľavský, M. Potse, F. W. Prinzen, A. Auricchio, R. Krause.
  Fast simulation of standard 12-lead ECG and 3D ventricular activation, in: EHRA Europace - Cardiostim 2017, Vienna, Austria, June 2017.
  https://hal.inria.fr/hal-01568022

Internal Reports

• 32Y. Abidi, M. Bellassoued, M. Mahjoub, N. Zemzemi.
  On the identification of multiple space dependent ionic parameters in cardiac electrophysiology modelling, Inria, July 2017.
  https://hal.inria.fr/hal-01567714
• 33C. Corrado, N. Zemzemi.
  A conduction velocity adapted eikonal model for electrophysiology problems with re-excitability evaluation, Inria Bordeaux Sud-Ouest ; King's College London, July 2017.
  https://hal.inria.fr/hal-01567868

Other Publications

• 34R. Aboulaich, N. Fikal, E. M. El Guarmah, N. Zemzemi.
  Sensitivity of the electrocardiographic problem to multiple independent sources of uncertainty, July 2017, working paper or preprint.
  https://hal.inria.fr/hal-01567700
• 35M. Bendahmane, E. Erraji, F. Karami.
  A 3D Reaction-Diusion System Describing Bidomain Calcium Dynamics in Cardiac Cell, January 2018, working paper or preprint.
  https://hal.inria.fr/hal-01680574
• 36M. Bendahmane, F. Karami, M. Zagour.
  Kinetic-fluid derivation and mathematical analysis of cross-diffusion-Brinkman system, January 2018, working paper or preprint.
  https://hal.inria.fr/hal-01680584
• 37M. Bendahmane, F. Mroue, M. Saad, R. Talhouk.
  Mathematical analysis of cardiac electromechanics with physiological ionic model, January 2018, working paper or preprint.
  https://hal.inria.fr/hal-01680593
• 38J. Chamorro-Servent.
  Exploring different approaches to improve the inverse problem solutions in electrocardiography, August 2017, Abstract for the talk given 2017-08-23 at PCH60: Computational Inverse Problems - Insight and Algorithms.A workshop on the occasion of Per Christian Hansen's 60th birthdayCopenhagen, Denmark, August 23–25, 2017.
  https://hal.archives-ouvertes.fr/hal-01579087
• 39Y. Coudière, C. Douanla Lontsi, C. Pierre.
  Exponential Adams Bashforth integrators for stiff ODEs, application to cardiac electrophysiology, September 2017, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01394036
• 40Y. Coudière, C. Douanla Lontsi, C. Pierre.
  Rush-Larsen time-stepping methods of high order for stiff problems in cardiac electrophysiology, October 2017, https://arxiv.org/abs/1712.02260 - working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01557856
• 41C. Douanla Lontsi, Y. Coudière, C. Pierre.
  Efficient high order schemes for stiff ODEs in cardiac electrophysiology, October 2017, https://arxiv.org/abs/1712.07526 - working paper or preprint.
  https://hal.inria.fr/hal-01406683
• 42C. Sánchez, G. D 'Ambrosio, F. Maffessanti, E. G. Caiani, F. W. Prinzen, R. Krause, A. Auricchio, M. Potse.
  Sensitivity Analysis of Ventricular Activation and Electrocardiogram in Tailored Models of Heart-Failure Patients, May 2017, accepted for publication in Medical & Biological Engineering and Computing.
  https://hal.inria.fr/hal-01567886

References in notes

• 43Do we need to enforce the homogeneous Neuman condition on the Torso for solving the inverse electrocardiographic problem by using the method of fundamental solution ?, Computing in Cardiology 2016, September 2016, vol. 43, pp. 425-428.
  https://hal.inria.fr/hal-01379236
• 44M. Bendahmane, N. Chamakuri, E. Comte, A. Bedr’Eddine.
  A 3D boundary optimal control for the bidomain-bath system modeling the thoracic shock therapy for cardiac defibrillation, in: J. Math. Anal. Appl, 2016, vol. 437, pp. 972-998.
• 45B. Berte, F. Sacher, S. Mahida, S. Yamashita, H. S. Lim, A. Denis, N. Derval, M. Hocini, M. Haïssaguerre, H. Cochet, P. Jaïs.
  Impact of Septal Radiofrequency Ventricular Tachycardia Ablation; Insights From Magnetic Resonance Imaging, in: Circulation, 2014, vol. 130, pp. 716-718.
• 46M. J. Bishop, G. Plank.
  Bidomain ECG Simulations Using an Augmented Monodomain Model for the Cardiac Source, in: IEEE Trans. Biomed. Eng., 2011, vol. 58, pp. 2297-2307.
• 47P.-E. Bécue, F. Caro, M. Bendahmane, M. Potse.
  Modélisation et simulation de l'électrophysiologie cardiaque à l'échelle microscopique, in: 43e Congrès National d'Analyse Numérique (CANUM), Obernai, Alsace, France, SMAI, May 2016.
  http://smai.emath.fr/canum2016/resumesPDF/peb/Abstract.pdf
• 48P.-E. Bécue, F. Caro, M. Potse, Y. Coudière.
  Theoretical and Numerical Study of Cardiac Electrophysiology Problems at the Microscopic Scale., July 2016, SIAM Conference on the Life Sciences (LS16), Poster.
  https://hal.inria.fr/hal-01405837
• 49Y. Coudière, Y. Bourgault, M. Rioux.
  Optimal monodomain approximations of the bidomain equations used in cardiac electrophysiology, in: Mathematical Models and Methods in Applied Sciences, February 2014, vol. 24, n^o 6, pp. 1115-1140.
  https://hal.inria.fr/hal-00644257
• 50Y. Coudière, J. Henry, S. Labarthe.
  A two layers monodomain model of cardiac electrophysiology of the atria, in: J. Math. Biol., 2015, vol. 71, pp. 1607-1641.
  http://dx.doi.org/10.1007/s00285-015-0861-8
• 51A. Gharaviri, M. Potse, S. Verheule, R. Krause, A. Auricchio, U. Schotten.
  Epicardial Fibrosis Explains Increased Transmural Conduction in a Computer Model of Atrial Fibrillation , in: Computing in Cardiology, Vancouver, Canada, September 2016.
  https://hal.inria.fr/hal-01386916
• 52M. Haïssaguerre, N. Derval, F. Sacher, L. Jesel, I. Deisenhofer, L. de Roy, J. L. Pasquié, A. Nogami, D. Babuty, S. Yli-Mayry, C. De Chillou, P. Scanu, P. Mabo, S. Matsuo, V. Probst, S. Le Scouarnec, P. Defaye, J. Schlaepfer, T. Rostock, D. Lacroix, D. Lamaison, T. Lavergne, Y. Aizawa, A. Englund, F. Anselme, M. O'Neill, M. Hocini, K. T. Lim, S. Knecht, G. D. Veenhuyzen, P. Bordachar, M. Chauvin, P. Jaïs, G. Coureau, G. Chene, G. J. Klein, J. Clémenty.
  Sudden cardiac arrest associated with early repolarization, in: N. Engl. J. Med., 2008, vol. 358, pp. 2016–2023.
• 53M. Haïssaguerre, P. Jaïs, D. C. Shah, S. Garrigue, A. Takahashi, T. Lavergne, M. Hocini, J. T. Peng, R. Roudaut, J. Clémenty.
  Spontaneous initiation of atrial fibrillation by ectopic beats originating in the pulmonary veins, in: N. Engl. J. Med., 1998, vol. 339, pp. 659-666.
• 54M. G. Hoogendijk, M. Potse, A. C. Linnenbank, A. O. Verkerk, H. M. den Ruijter, S. C. M. van Amersfoorth, E. C. Klaver, L. Beekman, C. R. Bezzina, P. G. Postema, H. L. Tan, A. G. Reimer, A. C. van der Wal, A. D. J. ten Harkel, M. Dalinghaus, A. Vinet, A. A. M. Wilde, J. M. T. de Bakker, R. Coronel.
  Mechanism of Right Precordial ST-Segment Elevation in Structural Heart Disease: Excitation Failure by Current-to-Load Mismatch, in: Heart Rhythm, 2010, vol. 7, pp. 238-248.
  http://dx.doi.org/10.1016/j.hrthm.2009.10.007
• 55M. L. Hubbard, C. S. Henriquez.
  A microstructural model of reentry arising from focal breakthrough at sites of source-load mismatch in a central region of slow conduction, in: Am. J. Physiol. Heart Circ. Physiol., 2014, vol. 306, pp. H1341-1352.
• 56S. Labarthe, J. Bayer, Y. Coudière, J. Henry, H. Cochet, P. Jaïs, E. Vigmond.
  A bilayer model of the human atria: mathematical background, construction, and assessment, in: Europace, 2014, vol. 16, pp. iv21-29.
• 57M. Marsh, S. Torabi Ziaratgahi, R. Spiteri.
  The secrets to the success of the Rush–Larsen method and its generalizations, in: IEEE Trans. Biomed. Eng., 2012, vol. 59, pp. 2506-2515.
  http://dx.doi.org/10.1109/TBME.2012.2205575
• 58B. F. Nielsen, T. S. Ruud, G. T. Lines, A. Tveito.
  Optimal monodomain approximations of the bidomain equations, in: Appl. Math. Comput., 2007, vol. 184, pp. 276-290.
• 59M. Potse, B. Dubé, J. Richer, A. Vinet, R. M. Gulrajani.
  A Comparison of monodomain and bidomain reaction-diffusion models for action potential propagation in the human heart, in: IEEE Transactions on Biomedical Engineering, 2006, vol. 53, n^o 12, pp. 2425-2435.
  http://dx.doi.org/10.1109/TBME.2006.880875
• 60M. Potse, B. Dubé, A. Vinet.
  Cardiac Anisotropy in Boundary-Element Models for the Electrocardiogram, in: Medical and Biological Engineering and Computing, 2009, vol. 47, pp. 719–729.
  http://dx.doi.org/10.1007/s11517-009-0472-x
• 61M. Potse, V. M. F. Meijborg, C. N. W. Belterman, J. M. T. de Bakker, C. E. Conrath, R. Coronel.
  Regional conduction slowing can explain inferolateral J waves and their attenuation by sodium channel blockers, September 2016, Annual workshop of Liryc - Electrophysiology and heart modeling institute, Poster.
  https://hal.inria.fr/hal-01393102
• 62S. Rush, H. Larsen.
  A Practical Algorithm for Solving Dynamic Membrane Equations, in: IEEE Trans. Biomed. Eng., 1978, vol. 25, n^o 4, pp. 389–392.
• 63A. Tveito, K. H. Jæger, M. Kuchta, K.-A. Mardal, M. E. Rognes.
  A Cell-Based Framework for Numerical Modeling of Electrical Conduction in Cardiac Tissue, in: Front. Phys., 2017, vol. 5, 48 p.