- T. Delaunay, S. Imperiale, P. Moireau. Uniform boundary stabilization of a high-order finite element space discretization of the 1-d wave equation. Numerische Mathematik, Published online2024; 〈10.1007/s00211-024-01440-9〉 〈hal-04172229/〉
- A. L. Dalmora, A. Imperiale, S. Imperiale, P. Moireau. Kalman-based estimation of loading conditions from ultrasonic guided wave measurements. Inverse Problems, Published online 2024; 〈10.1088/1361-6420/ad7e4b〉〈hal-04417270〉
- L.-P. Chaintron, F. Kimmig, M. Caruel, P. Moireau. A jump-diffusion stochastic formalism for muscle contraction models at multiple timescales, Journal of Applied Physics, 134, 194901 2023; 〈10.1063/5.0158191〉. 〈hal-04264293〉
- J. Manganotti, S. Imperiale, P. Moireau. Flow recovery from distal pressure in linearized hemodynamics: an optimal control approach. Inverse Problems, 39 (7), pp.075004. 2023; 〈10.1088/1361-6420/acd274〉〈hal-04178851〉
- M. Barré, C. Grandmont, and P. Moireau. Numerical analysis of an incompressible soft material poromechanics model using T-coercivity Comptes Rendus. Mécanique In memoriam R. Glowinski 2023;〈hal-04098153〉, 〈10.5802/crmeca.194〉
- L.-P. Chaintron, A. M. González, L. Mertz, P. Moireau. Mortensen Observer for a class of variational inequalities - Lost equivalence with stochastic filtering approaches, ESAIM: Proceedings 73 2023; 〈hal-03659066〉
- A. Collin, B. P. Hejblum, C. Vignals, L. Lehot, R. Thiébaut, P. Moireau, M. Prague. Using Population Based Kalman Estimator to Model COVID-19 Epidemic in France: Estimating the Effects of Non-Pharmaceutical Interventions on the Dynamics of Epidemic. The International Journal of Biostatistics 2023;〈hal-04151651〉, 〈10.1515/ijb-2022-0087〉
- M. Genet, J. Diaz, D. Chapelle, P. Moireau. Reduced left ventricular dynamics modeling based on a cylindrical assumption, IJNMBE 2023; 〈10.1002/cnm.3711〉 〈hal-03832575v1〉
- P. Moireau. Discrete-time formulations as time discretization strategies in data assimilation, Handbooks of Numerical Analysis, Numerical Control and beyond (B), chapter 7. Elseiver, 2023, 2023; 〈10.1016/bs.hna.2022.11.005〉 〈hal-03921465〉
- M. Aussal and P. Moireau. Kernel representation of Kalman observer and associated H-matrix based discretization. ESAIM : Control, Optimisation and Calculus of Variations, 28, 78
2022, 〈hal-03658937v1〉
- M. Barré, C. Grandmont, and P. Moireau. Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials. Evolution Equations and Control Theory 2022, 〈hal-03501526〉
- R. Chabiniok, B. Burtschell, D. Chapelle, and P. Moireau. Dimensional reduction of a poromechanical cardiac model for myocardial perfusion studies. Applications in Engineering Science, 12 :100121, November 2022.〈hal-03877604v1〉
- A. Collin, M. Prague, and P. Moireau. Estimation for dynamical systems using a population-based Kalman filter – Applications in computational biology., MathematicS-in-Action, In-press 2022, 〈hal-02869347〉
- F. Kimmig, P. Moireau and D. Chapelle. Hierarchical modeling of length-dependent force generation in cardiac muscles and associated thermodynamically-consistent numerical schemes, Computational Mechanics, 68: 885-920 2021, 〈10.1007/s00466-021-02051-z〉. 〈hal-03260494〉
- J. Manganotti, F. Caforio, F. Kimmig, P. Moireau, Philippe and S. Imperiale. Coupling reduced-order blood flow and cardiac models through energy-consistent strategies: modeling and discretization., Advanced Modeling and Simulation in Engineering Sciences, 8(21):1-37 2021, 〈10.1186/s40323-021-00206-4〉. 〈hal-03382705〉
- F. Regazzoni, D. Chapelle, and P. Moireau. Combining Data Assimilation and Machine Learning to build data-driven models for unknown long time dynamics - Applications in cardiovascular modeling., International Journal for Numerical Methods in Biomedical Engineering, IJNMBE 2021, 〈10.1002/cnm.3471〉. 〈hal-03207037〉
- A. Imperiale, D. Chapelle, and P. Moireau. Sequential data assimilation for mechanical systems with complex image data : application to tagged-MRI in cardiac mechanics., Advanced Modeling and Simulation in Engineering Sciences, 8(2) :1–47 2021, 〈10.1186/s40323-020-00179-w〉. 〈hal-03113109〉
- E. Berberoglu, C. T. Stoeck, P. Moireau, S. Kozerke, M. Genet. In-silico study of accuracy and precision of left-ventricular strain quantification from 3D tagged MRI, PLOS ONE 2021, 〈10.1371/journal.pone.0258965〉. 〈hal-03693796〉
- C. J. Arthurs, N. Xiao, P. Moireau, T. Schaeffter, and A. A. Figueroa. A flexible framework for sequential estimation of model parameters in computational hemodynamics., Advanced Modeling and Simulation in Engineering Sciences, 7(48) :1–37 2020, 〈10.1186/s40323-020-00186-x〉. 〈hal-03113107〉
- A. Collin, S. Imperiale, P. Moireau, J.-F. Gerbeau, and D. Chapelle. Apprehending the effects of mechanical deformations in cardiac electrophysiology - An homogenization approach. Mathematical Models and Methods in Applied Sciences., Springer Verlag, 29(13) :2377–2417 2019, 〈10.1142/S0218202519500490〉. 〈hal-02267941v2〉
- R. Chabiniok, G. Bureau, A. Groth, J. Tintera, J. Weese, D. Chapelle, and P. Moireau. Cardiac displacement tracking with data assimilation combining a biomechanical model and an automatic contour detection. In FIMH 2019 - Proceedings of Functional Imaging and Modeling of Heart In FIMH 2019 - 10th Functional Imaging and Modeling of the Heart, Bordeaux, France, 2019.LNCS 11504 2019, 〈hal-02186804〉
- A. Gérard, A. Collin, G. Bureau, P. Moireau, and Y. Coudière. Model assessment through data assimilation of realistic data in cardiac electrophysiology. In FIMH 2019 - 10th Functional Imaging and Modeling of the Heart, Bordeaux, France, 2019.LNCS 11504 2019, 〈hal-02172102〉
- S. Imperiale, P. Moireau, A. Tonnoir. Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2019, 〈hal-0189844〉
- F. Kimmig, D. Chapelle, P. Moireau. Thermodynamic properties of muscle contraction models and associated discrete-time principles. Advanced Modeling and Simulation in Engineering Sciences, SpringerOpen, 6:6 1:36 2019, 〈hal-02065957〉
- B. Burtschell, P. Moireau, D. Chapelle. Numerical analysis for an energy-stable total discretization of a poromechanics model with inf-sup stability. Acta Mathematicae Applicatae Sinica, Vol 35, Issue (1):28-53, Springer Verlag, 2019, 〈10.1007/s10255-019-0799-5〉. 〈hal-01928312v2〉
- M. Caruel, P. Moireau, D. Chapelle. Stochastic modeling of chemical-mechanical coupling in striated muscles. Biomechanics and Modeling in Mechanobiology, Springer Verlag, 2019, 〈10.1007/s10237-018-1102-z〉. 〈hal-01928279v2〉
- C. Zhang, A. Collin, P. Moireau, A. Trouvé, M. Rochoux. Front shape similarity measure for data-driven simulations of wildland fire spread based on state estimation: Application to the RxCADRE field-scale experiment. Proceedings of the Combustion Institute, Elsevier, 37 (3), pp.4201-4209 2019, 〈10.1016/j.proci.2018.07.112〉. 〈hal-01969130〉
- P. Moireau. A Discrete-time Optimal Filtering Approach for Non-linear Systems as a Stable Discretization of the Mortensen Observer. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 24 ,pp.1815-1847 2018, 〈10.1051/cocv/2017077〉. 〈hal-01671271v2〉
- M. Rochoux, A. Collin, C. Zhang, A. Trouvé, D. Lucor, P. Moireau. Front shape similarity measure for shape-oriented sensitivity analysis and data assimilation for Eikonal equation. ESAIM: Proceedings and Surveys, EDP Sciences, 2018. 〈hal-01625575〉
- A. Armiento, P. Moireau, D. Martin, N. Lepejova, M. Doumic, H. Rezaei. The mechanism of monomer transfer between two structurally distinct PrP oligomers. PLoS ONE, Public Library of Science, 2017, 12 (7), 〈10.1371/journal.pone.0180538〉. 〈hal-01574346〉
- B. Burtschell, D. Chapelle, P. Moireau. Effective and energy-preserving time discretization for a general nonlinear poromechanical formulation. Computers and Structures, Elsevier, 2017, 182, pp.313-324. 〈10.1016/j.compstruc.2016.10.022〉. 〈hal-01395508v2〉
- R. Chabiniok, P. Moireau, C. Kiesewetter, T. Hussain, R. Razavi, D. Chapelle. Assessment of atrioventricular valve regurgitation using biomechanical cardiac modeling. FIMH 2017 - 9th international conference on Functional Imaging and Modeling of the Heart., Toronto, Canada. Springer, 10263, pp.401-411, 2017, LNCS - Lecture Notes in Computer Science. 〈hal-01505834〉
- A. Armiento, M. Doumic, P. Moireau, H. Rezaei. Estimation from Moments Measurements for Amyloid Depolymerisation. Journal of Theoretical Biology, Elsevier, 2016, 〈10.1016/j.jtbi.2016.02.037〉. 〈hal-01248255〉
- R. Chabiniok, V. Wang, M. Hadjicharalambous, L. Asner, J. Lee, et al.. Multiphysics and multiscale modelling, data-model fusion and integration of organ physiology in the clinic: ventricular cardiac mechanics. Interface Focus, Royal Society publishing, 2016, 6 (2), 〈10.1098/rsfs.2015.0083〉. 〈hal-01277684〉
- A. Collin, D. Chapelle, P. Moireau. A Luenberger observer for reaction-diffusion models with front position data. Journal of Computational Physics, Elsevier, 2015, 300, pp.20. 〈10.1016/j.jcp.2015.07.044〉. 〈hal-01111675v2〉
- A.-C. Boulanger, P. Moireau, B. Perthame, J. Sainte-Marie. Data Assimilation for hyperbolic conservation laws. A Luenberger observer approach based on a kinetic description. Communications in Mathematical Sciences, International Press, 2015, 13 (3), pp.587 - 622. 〈10.4310/CMS.2015.v13.n3.a1〉. 〈hal-00924559〉
- C. Corrado, J.-F. Gerbeau, P. Moireau. Identification of weakly coupled multiphysics problems. Application to the inverse problem of electrocardiography. Journal of Computational Physics, Elsevier, 2015, 283, pp.271-298. 〈10.1016/j.jcp.2014.11.041〉. 〈hal-01091751〉
- N. Cîndea, A. Imperiale, P. Moireau. Data assimilation of time under-sampled measurements using observers, the wave-like equation example. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2015, pp.35. 〈10.1051/cocv/2014042〉. 〈hal-01054551〉
- A. Collin, D. Chapelle, P. Moireau. Sequential State Estimation for Electrophysiology Models with Front Level-Set Data Using Topological Gradient Derivations. H. van Assen; P. Bovendeerd; T. Delhaas. Functional Imaging and Modeling of the Heart 2015, Jun 2015, Maastricht, Netherlands. Springer, 9126, pp.402-411, 2015, Lecture Notes in Computer Science. 〈10.1007/978-3-319-20309-6_46〉. 〈hal-01174916〉
- M. Caruel, R. Chabiniok, P. Moireau, Y. Lecarpentier, D. Chapelle. Dimensional reductions of a cardiac model for effective validation and calibration. Biomechanics and Modeling in Mechanobiology, Springer Verlag, 2014, 13 (4), pp.897-914. 〈10.1007/s10237-013-0544-6〉. 〈hal-00872746〉
- C. Bertoglio, D. Barber, N. Gaddum, I. Valverde, M. Rutten, M. Rutten, P. Beerbaum, P. Moireau, R. Hose, J.-F. Gerbeau. Identification of artery wall stiffness: in vitro validation and in vivo results of a data assimilation procedure applied to a 3D fluid-structure interaction model. Journal of Biomechanics, Elsevier, 2014, 47 (5), pp.1027-1034. 〈10.1016/j.jbiomech.2013.12.029〉. 〈hal-00925902v2〉
- D. Chapelle, P. Moireau. General coupling of porous flows and hyperelastic formulations -- From thermodynamics principles to energy balance and compatible time schemes. European Journal of Mechanics - B/Fluids, Elsevier, 2014, 46, pp.82-96. 〈10.1016/j.euromechflu.2014.02.009〉. 〈inria-00520612v3〉
- S. Marchesseau, H. Delingette, M. Sermesant, R. C. Lozoya, C. Tobon-Gomez, et al.. Personalization of a Cardiac Electromechanical Model using Reduced Order Unscented Kalman Filtering from Regional Volumes. Medical Image Analysis, Elsevier, 2013, 17 (7), pp.816-829. 〈10.1016/j.media.2013.04.012〉. 〈hal-00819806〉
- D. Chapelle, A. Gariah, P. Moireau, J. Sainte-Marie. A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems -- Analysis, assessments and applications to parameter estimation. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2013, 47 (6), pp.1821-1843. 〈10.1051/m2an/2013090〉. 〈hal-00834397〉
- D. Chapelle, M. Fragu, V. Mallet, P. Moireau. Fundamental principles of data assimilation underlying the Verdandi library: applications to biophysical model personalization within euHeart. Medical and Biological Engineering and Computing, Springer Verlag, 2013, 51, pp.1221-1233. 〈10.1007/s11517-012-0969-6〉. 〈hal-00760887〉
- C. Bertoglio, D. Chapelle, M. A. Fernández, J.-F. Gerbeau, P. Moireau. State observers of a vascular fluid-structure interaction model through measurements in the solid. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2013, 256, pp.149-168. 〈10.1016/j.cma.2012.12.010〉. 〈hal-00764332v3〉
- M. Caruel, R. Chabiniok, P. Moireau, Y. Lecarpentier, D. Chapelle. Dimensional Reduction of Cardiac Models for Effective Validation and Calibration. Ourselin, Sebastien and Rueckert, Daniel and Smith, Nicolas. 7th International Conference on Functional Imaging and Modeling of the Heart, FIMH 2013, London, United Kingdom. Springer-Verlag, 7945, pp.259-267, 2013, Lecture Notes in Computer Science. 〈hal-00834704〉
- A. Imperiale, A. Routier, S. Durrleman, P. Moireau. Improving Efficiency of Data Assimilation Procedure for a Biomechanical Heart Model by Representing Surfaces as Currents. Sébastien Ourselin and Daniel Rueckert and Nic Smith. FIMH - 7th International Conference on Functional Imaging and Modeling of the Heart - 2013, London, United Kingdom. Springer, 7945, pp.342-351, 2013, Lecture Notes in Computer Science. 〈10.1007/978-3-642-38899-6_41〉. 〈hal-00841442〉
- D. Chapelle, N. Cîndea, M. De Buhan, P. Moireau. Exponential convergence of an observer based on partial field measurements for the wave equation. Mathematical Problems in Engineering, Hindawi Publishing Corporation, 2012, pp.12. 〈10.1155/2012/581053〉. 〈inria-00619504v2〉
- P. Moireau, C. Bertoglio, N. Xiao, C. Alberto Figueroa, C. Taylor, D. Chapelle, J.-F. Gerbeau. Sequential identification of boundary support parameters in a fluid-structure vascular model using patient image data. Biomechanics and Modeling in Mechanobiology, Springer Verlag, 2012, 12 (3), pp.475-496. 〈10.1007/s10237-012-0418-3〉. 〈hal-00760703〉
- C. Bertoglio, P. Moireau, J.-F. Gerbeau. Sequential parameter estimation for fluid-structure problems. Application to hemodynamics. International Journal for Numerical Methods in Biomedical Engineering, John Wiley and Sons, 2012, 28 (4), pp.434-455. 〈10.1002/cnm.1476〉. 〈inria-00603399〉
- M. Sermesant, R. Chabiniok, P. Chinchapatnam, T. Mansi, F. Billet, et al. Patient-Specific Electromechanical Models of the Heart for Prediction of the Acute Effects of Pacing in CRT: a First Validation. Medical Image Analysis, Elsevier, 2012, 16 (1), pp.201-215. 〈10.1016/j.media.2011.07.003〉. 〈inria-00616191〉
- P. Moireau, N. Xiao, M. Astorino, C. A. Figueroa, D. Chapelle, C. Taylor, J.-F. Gerbeau. External tissue support and fluid-structure simulation in blood flows. Biomechanics and Modeling in Mechanobiology, Springer Verlag, 2012, 11 (1-2), pp.1-18. 〈http://www.springerlink.com/content/x21781167020854l/〉. 〈10.1007/s10237-011-0289-z〉. 〈hal-00701801〉
- R. Chabiniok, P. Moireau, P.-F. Lesault, A. Rahmouni, J.-F. Deux, D. Chapelle. Estimation of tissue contractility from cardiac cine-MRI using a biomechanical heart model. Biomechanics and Modeling in Mechanobiology, Springer Verlag, 2012, 11 (5), pp.609-630. 〈10.1007/s10237-011-0337-8〉. 〈hal-00654541〉
- D. Chapelle, P. Le Tallec, P. Moireau, M. Sorine. An energy-preserving muscle tissue model: formulation and compatible discretizations. International Journal for Multiscale Computational Engineering, Begell House, 2012, 10 (2), pp.189-211. 〈10.1615/IntJMultCompEng.2011002360〉. 〈hal-00678772〉
- D. Chapelle, N. Cîndea, P. Moireau. Improving convergence in numerical analysis using observers - The wave-like equation case. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2012, 22 (12), 〈10.1142/S0218202512500406〉. 〈inria-00621052v2〉
- J. Xi, P. Lamata, J. Lee, P. Moireau, D. Chapelle, and N. Smith. Myocardial transversely isotropic material parameter estimation from in-silico measurements based on reduced-order unscented Kalman filter. Journal of mechanical behavior of biomedical materials, Elsevier, 2011, 4 (7), pp.1090-1102. 〈10.1016/j.jmbbm.2011.03.018〉. 〈hal-00654545〉
- P. Moireau, D. Chapelle. Reduced-order Unscented Kalman Filtering with application to parameter identification in large-dimensional systems. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2011, 17 (2), pp.380-405. 〈10.1051/cocv/2010006〉. 〈inria-00550104〉
- R. Chabiniok, P. Moireau, P.-François Lesault, A. Rahmouni, J.-F. Deux, D. Chapelle. Trials on Tissue Contractility Estimation from Cardiac Cine MRI Using a Biomechanical Heart Model. Dimitris N. Metaxas and Leon Axel. FIMH'11 - Sixth International Conference on Functional Imaging and Modeling of the Heart, New York, United States. Springer, 6666, pp.304-312, 2011, LNCS. 〈10.1007/978-3-642-21028-0_38〉. 〈hal-00654547〉
- A. Imperiale, R. Chabiniok, P. Moireau, D. Chapelle. Constitutive Parameter Estimation Using Tagged-MRI Data. Dimitris N. Metaxas and Leon Axel. FIMH'11 - Sixth International Conference on Functional Imaging and Modeling of the Heart, New York, United States. Springer, 6666, pp.409-417, 2011, LNCS. 〈10.1007/978-3-642-21028-0_52〉. 〈hal-00654551〉
- P. Moireau, D. Chapelle, P. Le Tallec. Filtering for distributed mechanical systems using position measurements: perspectives in medical imaging. Inverse Problems, IOP Publishing, 2009, 25 (3), 035010 〈10.1088/0266-5611/25/3/035010〉. 〈hal-00358914〉
- D. Chapelle, P. Moireau, P. Le Tallec. Robust filtering for joint state parameter estimation for distributed mechanical systems. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2009, 23 (1-2), pp.65-84. 〈10.3934/dcds.2009.23.65〉. 〈hal-00358910〉
- P. Moireau, D. Chapelle, M. Yvinec. Cardiac motion extraction from images by filtering estimation based on a biomechanical model. Ed. Nicholas Ayache and Hervé Delingette and Maxime Sermesant. FIMH'09 - 5th International Conference Functional Imaging and Modeling of the Heart, Nice, France. Springer, 5528, pp.220-228, 2009, Lecture Notes in Computer Science. 〈10.1007/978-3-642-01932-6_24〉. 〈hal-00772059〉
- M. Sermesant, F. Billet, R. Chabiniok, T. Mansi, P. Chinchapatnam, et al.. Personalised Electromechanical Model of the Heart for the Prediction of the Acute Effects of Cardiac Resynchronisation Therapy. Proceedings of Functional Imaging and Modeling of the Heart 2009 (FIMH'09), Nice, France. Springer, 5528, pp.xxx, 2009, Lecture Notes in Computer Science. 〈inria-00616177〉
- D. Chapelle, M. A. Fernández, J.-F. Gerbeau, P. Moireau, J. Sainte-Marie, et al. Numerical simulation of the electromechanical activity of the heart. Ayache, Nicholas and Delingette, Hervé and Sermesant, Maxime. Functional Imaging and Modeling of the Heart, 2009, Nice, France. Springer-Verlag, 5528, pp.357-365, 2009, Lecture Notes in Computer Science. 〈http://www.springer.com/computer/image+processing/book/978-3-642-01931-9〉. 〈inria-00542779〉
- P. Moireau, D. Chapelle, P. Le Tallec. Joint state and parameter estimation for distributed mechanical systems. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2008, 197 (6-8), pp.659-677. 〈10.1016/j.cma.2007.08.021〉. 〈hal-00175623〉
- P. Moireau, D. Chapelle. Effective estimation in cardiac modelling. Ed. Frank B. Sachse Gunnar Seemann , FIMH'07 - 4th International Conference Functional Imaging and Modeling of the Heart, Salt Lake City, USA. Springer, 4466, pp.361-372, 2007, Lecture Notes in Computer Science. 〈10.1007/978-3-540-72907-5_37〉.
- Q. Duan, P. Moireau, E.D. Angelini, D. Chapelle. Simulation of 3D ultrasound with a realistic electro-mechanical model of the heart. Ed. Frank B. Sachse Gunnar Seemann , FIMH'07 - 4th International Conference Functional Imaging and Modeling of the Heart, Salt Lake City, USA. Springer, 4466, pp.463-473, 2007, Lecture Notes in Computer Science. 〈10.1007/978-3-540-72907-5_47〉
- M. Sermesant, P. Moireau, O. Camara, J. Sainte-Marie, R. Andriantsimiavona, et al.. Cardiac function estimation from MRI using a heart model and data assimilation: Advances and difficulties. Medical Image Analysis, Elsevier, 2006, 10 (4), pp.642--656. 〈inria-00614997〉.
- M. Sermesant, P. Moireau, O. Camara, J. Sainte-Marie, R. Andriantsimiavona, et al.. Progress Toward using MRI and a Heart Model to Estimate Patient-Specific Indices of Cardiac Function. ESAIM: Proceedings and Surveys, EDP Sciences, 2005 〈10.1051/proc:2005017〉
- G. Bal, P. Moireau. Fast numerical inversion of the attenuated Radon transform with full and partial measurements. Inverse Problems, IOP Publishing, 2004, 20 (4), pp.1137 - 1164. 〈10.1088/0266-5611/20/4/009〉. 〈hal-01818977〉.