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
• 6M. 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.
• 7C. 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
• 8M. 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

Publications of the year

Articles in International Peer-Reviewed Journals

• 9R. Aboulaich, N. Fikal, E. M. El Guarmah, N. Zemzemi.
  
  Stochastic Finite Element Method for torso conductivity uncertainties quantification in electrocardiography inverse problem, in: Mathematical Modelling of Natural Phenomena, 2016, vol. 11, n^o 2, pp. 1-19. [ DOI : 10.1051/mmnp/201611201 ]
  
  https://hal.inria.fr/hal-01289144
• 10M. Bendahmane, N. Chamakuri, E. Comte, B. Ainseba.
  
  A 3D boundary optimal control for the bidomain-bath system modeling the thoracic shock therapy for cardiac defibrillation, in: Journal of Mathematical Analysis and Applications, 2016. [ DOI : 10.1016/j.jmaa.2016.01.018 ]
  
  https://hal.archives-ouvertes.fr/hal-01261547
• 11M. Bendahmane, R. Ruiz-Baier, C. Tian.
  
  Turing pattern dynamics and adaptive discretization for a superdiffusive Lotka-Volterra system , in: Journal of Mathematical Biology, 2016, vol. 6, pp. 1441-1465.
  
  https://hal.archives-ouvertes.fr/hal-01403081
• 12G. Dumont, J. Henry, C. O. Tarniceriu.
  
  Theoretical connections between mathematical neuronal models corresponding to different expressions of noise, in: Journal of Theoretical Biology, 2016, vol. 406, pp. 31-41. [ DOI : 10.1016/j.jtbi.2016.06.022 ]
  
  https://hal.inria.fr/hal-01414929
• 13J. Lassoued, M. Mahjoub, N. Zemzemi.
  
  Stability results for the parameter identification inverse problem in cardiac electrophysiology, in: Inverse Problems, 2016, vol. 32, pp. 1-31. [ DOI : 10.1088/0266-5611/32/11/115002 ]
  
  https://hal.inria.fr/hal-01399373
• 14V. 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
• 15C. Piazzese, M. C. Carminati, A. Colombo, R. Krause, M. Potse, A. Auricchio, L. Weinert, G. Tamborini, M. Pepi, R. M. Lang, E. G. Caiani.
  
  Segmentation of the left ventricular endocardium from magnetic resonance images by using different statistical shape models, in: Journal of Electrocardiology, May 2016, vol. 49, n^o 3, pp. 383–391. [ DOI : 10.1016/j.jelectrocard.2016.03.017 ]
  
  https://hal.inria.fr/hal-01302237

International Conferences with Proceedings

• 16R. Aboulaich, N. Fikal, E. M. Guarmah, N. N. Zemzemi.
  
  Sensitivity of the electrocardiographic forward problem to the heart potential measuement noise and conductivity uncertainties, in: Colloque africain sur la recherche en informatique et mathématiques appliquées, CARI 2016, Hammamet, Tunisia, October 2016.
  
  https://hal.inria.fr/hal-01402938
• 17L. Bear, R. Dubois, N. Zemzemi.
  
  Optimization of Organ Conductivity for the Forward Problem of Electrocardiography, in: Computing In cardiology, Vancouver, Canada, September 2016.
  
  https://hal.inria.fr/hal-01402927
• 18J. Chamorro Servent, L. Bear, J. Duchateau, M. Potse, R. Dubois, Y. Coudière.
  
  Do we need to enforce the homogeneous Neuman condition on the Torso forsolving the inverse electrocardiographic problem by using the method of fundamental solution ?, in: Computing in Cardiology 2016, Vancouver, Canada, Computing in Cardiology 2016, September 2016, vol. 43, pp. 425-428.
  
  https://hal.inria.fr/hal-01379236
• 19C. Douanla Lontsi, Y. Coudière, C. Pierre.
  
  Efficient high order schemes for stiff ODEs in cardiac electrophysiology, in: Colloque Africain sur la Recherche en Informatique et Mathématiques appliquées, Tunis, Tunisia, October 2016.
  
  https://hal.inria.fr/hal-01406683
• 20A. 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
• 21J. Lassoued, M. Mahjoub, N. Zemzemi.
  
  Identification of sources for the bidomain equation using topological gradient, in: Colloque africain sur la recherche en informatique et mathématiques appliquées, CARI 2016, Hammamet, France, October 2016.
  
  https://hal.inria.fr/hal-01402953

Conferences without Proceedings

• 22P.-E. Bécue.
  
  Étude d'un modèle microscopique de l'électrophysiologie cardiaque, in: CANUM 2016 - 43e Congrès National d'Analyse Numérique, Obernai, France, May 2016.
  
  https://hal.inria.fr/hal-01412883
• 23R. Chamekh, A. Habbal, M. Kallel, N. Zemzemi.
  
  A Nash-game approach to solve the Coupled problem of conductivity identification and data completion, in: PICOF (Problèmes Inverses, Contrôle et Optimisation de Formes), Autrans, France, June 2016.
  
  https://hal.inria.fr/hal-01402976
• 24J. Chamorro-Servent, L. Bear, J. Duchateau, C. Dallet, Y. Coudière, R. Dubois.
  
  Adaptive placement of the pseudo-boundaries improves the conditioning of the inverse problem, in: Computing in Cardiology, Vancouver, Canada, Comuting in Cardiology 2016, September 2016, vol. 43, n^o 705-708.
  
  https://hal.inria.fr/hal-01379271
• 25A. Habbal, M. Kallel, R. Chamekh, N. Zemzemi.
  
  Decentralized Strategies for Ill Posed Inverse Problems, in: 5th International Conference on Engineering Optimization, Iguassu Falls, Brazil, June 2016.
  
  https://hal.inria.fr/hal-01405282
• 26S. Pezzuto, P. Kalavsky, M. Potse, F. Regoli, M. L. Caputo, G. Conte, T. Moccetti, E. G. Caiani, R. Krause, A. Auricchio.
  
  Accurate estimation of 3D ventricular activation from electroanatomic mapping , in: Cardiostim EHRA Europace, Nice, France, June 2016.
  
  https://hal.inria.fr/hal-01386922

Other Publications

• 27V. Baron, P. Sochala, Y. Coudière.
  
  Adaptive multistep time discretization and linearization based on a posteriori error estimates for the Richards equation, October 2016, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01379606
• 28L. Bear, R. Dubois, N. Zemzemi.
  
  Optimization of Organ Conductivity for the Forward Problem of Electrocardiography, September 2016, Journées scientifiques du LIRYC, Poster.
  
  https://hal.inria.fr/hal-01402983
• 29M. Bendahmane, N. Chamakuri.
  
  Numerical Analysis of a Finite Element Method for an Optimal Control of Bidomain-bath Model, January 2016, working paper or preprint.
  
  https://hal.inria.fr/hal-01259773
• 30J. Bouyssier, M. Bendahmanne, Y. Coudière, J.-F. Gerbeau, J. Pedron, P. Zitoun, N. Zemzemi.
  
  Parameters estimation approach for the MEA/hiPSC-CM assays, September 2016, Journées scientifiques du LIRYC, Poster.
  
  https://hal.inria.fr/hal-01409683
• 31P.-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
• 32J. Chamorro-Servent, L. Bear, J. Duchateau, M. Potse, R. Dubois, Y. Coudière.
  
  Do we need to enforce the homogeneous Neumann condition on the torso for solving the inverse electrocardiographic problem?, September 2016, Computing in Cardiology, Poster.
  
  https://hal.inria.fr/hal-01378822
• 33J. Chamorro-Servent, L. Bear, J. Duchateau, M. Potse, R. Dubois, Y. Coudière.
  
  Possible improvements of the method of fundamental solution to solve the ECGI problem, October 2016, Workshop Liryc, Poster.
  
  https://hal.inria.fr/hal-01410756
• 34Y. Coudière, C. Douanla Lontsi, C. Pierre.
  
  Exponential Adams Bashforth ODE solver for stiff problems, November 2016, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01394036
• 35Y. Coudière, J. Henry, S. Labarthe.
  
  An asymptotic two-layer monodomain model of cardiac electrophysiology in the atria: derivation and convergence, October 2016, working paper or preprint.
  
  https://hal.inria.fr/hal-00922717
• 36A. Davidović, Y. Coudière, C. Poignard.
  
  The effects of the diffusive inclusions in the bidomain model: theoretical and numerical study. Application to the rat heart, November 2016, 2nd Scientific Workshop IHU-Liryc, Poster.
  
  https://hal.inria.fr/hal-01418706
• 37A. Davidović, Y. Coudière, C. Poignard.
  
  The Modified Bidomain Model with Periodic Diffusive Inclusions, December 2016, working paper or preprint.
  
  https://hal.inria.fr/hal-01418674
• 38C. Douanla Lontsi, Y. Coudière, C. Pierre.
  
  High order time-stepping methods for cardiac electrophysiology models, September 2016, IHU Liryc-Workshop 2016, Poster.
  
  https://hal.inria.fr/hal-01406536
• 39J. Duchateau, M. Potse, R. Dubois.
  
  Spatially Coherent Activation Maps for Electrocardiographic Imaging, July 2016, working paper or preprint. [ DOI : 10.1109/TBME.2016.2593003 ]
  
  https://hal.inria.fr/hal-01386890
• 40A. Gérard, A. Collin, J. Bayer, A. Frontera, P. Moireau, Y. Coudière.
  
  Front observer for data assimilation of electroanatomical mapping data for a numerical atrial model, September 2016, Liryc Workshop, Poster.
  
  https://hal.inria.fr/hal-01400776
• 41M. Juhoor, M. Fuentes.
  
  Integration of data and model in cardiac electrophysiology, September 2016, Liryc Workshop, Poster.
  
  https://hal.inria.fr/hal-01400889
• 42R. R. Moussitou.
  
  Probìeme inverse en électrocardiographie : Théorie de la factorisation, Université de nantes, September 2016, 55 p.
  
  https://hal.inria.fr/hal-01418738
• 43M. Potse, V. M. F. Meijborg, C. N. 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

References in notes

• 44Y. 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
• 45A. Gharaviri, M. Potse, S. Verheule, U. Schotten.
  
  3D model of endo-epicardial Dissociation and Transmural Conduction, in: Heart Rhythm Meeting, 2015.
• 46A. Gharaviri, S. Verheule, J. Eckstein, M. Potse, P. Kuklik, N. H. L. Kuijpers, U. Schotten.
  
  How disruption of endo-epicardial electrical connections enhances endo-epicardial conduction during atrial fibrillation, in: Europace, 2016, (in print).
  
  http://dx.doi.org/10.1093/europace/euv445
• 47P. C. Hansen.
  
  The discrete Picard condition for discrete ill-posed problems, in: BIT Numerical Mathematics, 1990, vol. 30, n^o 4, pp. 658–672.
• 48M. 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
• 49D. Krause, M. Potse, T. Dickopf, R. Krause, A. Auricchio, F. W. Prinzen.
  
  Hybrid Parallelization of a Large-Scale Heart Model, in: Facing the Multicore-Challenge II, Berlin, R. Keller, D. Kramer, J.-P. Weiss (editors), Lecture Notes in Computer Science, Springer, 2012, vol. 7174, pp. 120-132.
  
  http://dx.doi.org/10.1007/978-3-642-30397-5_11
• 50M. Lorange, R. M. Gulrajani.
  
  A computer heart model incorporating anisotropic propagation: I. Model construction and simulation of normal activation, in: J. Electrocardiol., 1993, vol. 26, n^o 4, pp. 245–261.
• 51P. W. Macfarlane, C. Antzelevitch, M. Haissaguerre, 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
• 52M. 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
• 53M.-C. Trudel, B. Dubé, M. Potse, R. M. Gulrajani, L. J. Leon.
  
  Simulation of propagation in a membrane-based computer heart model with parallel processing, in: IEEE Transactions on Biomedical Engineering, 2004, vol. 51, n^o 8, pp. 1319–1329.
• 54Y. Wang, Y. Rudy.
  
  Application of the Method of Fundamental Solutions to Potential-based Inverse Electrocardiography, in: Ann. Biomed. Eng., 2006, vol. 34, n^o 8, pp. 1272-1288.