Bibliography
Major publications by the team in recent years
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1L. Boudin, L. Desvillettes, C. Grandmont, A. Moussa.
Global existence of solutions for the coupled Vlasov and Navier-Stokes equations, in: Differential and integral equations, November 2009, vol. 22, no 11-12, pp. 1247-1271.
https://hal.archives-ouvertes.fr/hal-00331895 -
2L. Boudin, B. Grec, F. Salvarani.
A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations, in: Discrete and Continuous Dynamical Systems - Series B, 2012, vol. 17, no 5, pp. 1427-1440. [ DOI : 10.3934/dcdsb.2012.17.1427 ]
https://hal.archives-ouvertes.fr/hal-00490511 -
3M. 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, no 3, pp. 1071-1097. [ DOI : 10.1007/s10439-009-9873-0 ]
https://hal.inria.fr/inria-00400490 -
4M. Boulakia, S. Guerrero.
Regular solutions of a problem coupling a compressible fluid and an elastic structure, in: Journal de Mathématiques Pures et Appliquées, 2010, vol. 94, no 4, pp. 341-365. [ DOI : 10.1016/j.matpur.2010.04.002 ]
https://hal.inria.fr/hal-00648710 -
5J. Christophe, T. Ishikawa, N. Matsuki, Y. Imai, K. Takase, M. Thiriet, T. Yamaguchi.
Patient-specific morphological and blood flow analysis of pulmonary artery in the case of severe deformations of the lung due to pneumothorax, in: Journal of Biomechanical Science and Engineering, 2010, vol. 5, no 5, pp. 485-498.
https://hal.inria.fr/inria-00543090 -
6M. A. Fernández, J. Mullaert, M. Vidrascu.
Explicit Robin-Neumann schemes for the coupling of incompressible fluids with thin-walled structures, in: Computer Methods in Applied Mechanics and Engineering, 2013, vol. 267, pp. 566-593. [ DOI : 10.1016/j.cma.2013.09.020 ]
https://hal.inria.fr/hal-00784903 -
7J.-F. Gerbeau, D. Lombardi.
Approximated Lax Pairs for the Reduced Order Integration of Nonlinear Evolution Equations, in: Journal of Computational Physics, May 2014, vol. 265, pp. 246-269. [ DOI : 10.1016/j.jcp.2014.01.047 ]
https://hal.inria.fr/hal-00933172 -
8C. Grandmont, M. Hillairet.
Existence of global strong solutions to a beam-fluid interaction system, in: Archive for Rational Mechanics and Analysis, 2016. [ DOI : 10.1007/s00205-015-0954-y ]
https://hal.inria.fr/hal-01138736 -
9P. Moireau, C. Bertoglio, N. Xiao, C. A. Figueroa, C. Taylor, D. Chapelle, J.-F. Gerbeau.
Sequential identification of boundary support parameters in a fluid-structure vascular model using patient image data, in: Biomechanics and Modeling in Mechanobiology, July 2012, vol. 12, no 3, pp. 475-496. [ DOI : 10.1007/s10237-012-0418-3 ]
https://hal.inria.fr/hal-00760703 -
10S. Pant, B. Fabrèges, J.-F. Gerbeau, I. Vignon-Clementel.
A methodological paradigm for patient-specific multi-scale CFD simulations: from clinical measurements to parameter estimates for individual analysis, in: International Journal for Numerical Methods in Biomedical Engineering, December 2014, vol. 30, no 12, pp. 1614–1648. [ DOI : 10.1002/cnm.2692 ]
https://hal.inria.fr/hal-01093879 -
11I. Vignon-Clementel, A. Marsden, J. Feinstein.
A Primer on Computational Simulation in Congenital Heart Disease for the Clinician, in: Progress in Pediatric Cardiology, 2010, vol. 30, no 1-2, pp. 3-13, Fondation Leducq. [ DOI : 10.1016/j.ppedcard.2010.09.002 ]
https://hal.inria.fr/inria-00542957
Articles in International Peer-Reviewed Journals
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12E. 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, 2018, vol. 89, pp. 59-72.
https://hal.inria.fr/hal-01562673 -
13C. Audebert, G. Peeters, P. Segers, W. Laleman, D. Monbaliu, H. Korf, J. Trebicka, I. Vignon-Clementel, C. Debbaut.
Closed-loop lumped parameter modelling of hemodynamics during cirrhogenesis in rats, in: IEEE Transactions on Biomedical Engineering, 2018. [ DOI : 10.1109/TBME.2018.2793948 ]
https://hal.archives-ouvertes.fr/hal-01696050 -
14C. Audebert, I. Vignon-Clementel.
Model and methods to assess hepatic function from indocyanine green fluorescence dynamical measurements of liver tissue, in: European Journal of Pharmaceutical Sciences, 2018. [ DOI : 10.1016/j.ejps.2018.01.008 ]
https://hal.archives-ouvertes.fr/hal-01696064 -
15M. Bekheit, C. Audebert, P. Bucur, H. Adriansen, E. Bled, M. Wartenberg, I. Vignon-Clementel, E. Vibert.
Transit time ultrasound perivascular flow probe technology is superior to MR imaging on hepatic blood flow measurement in a porcine model, in: Hepatobiliary & Pancreatic Diseases International, December 2018, vol. 17, no 6, pp. 538-545. [ DOI : 10.1016/j.hbpd.2018.07.009 ]
https://hal.inria.fr/hal-01954795 -
16L. Boilevin-Kayl, M. A. Fernández, J.-F. Gerbeau.
Numerical methods for immersed FSI with thin-walled structures, in: Computers and Fluids, May 2018. [ DOI : 10.1016/j.compfluid.2018.05.024 ]
https://hal.inria.fr/hal-01704575 -
17A. Bondesan, L. Boudin, B. Grec.
A numerical scheme for a kinetic model for mixtures in the diffusive limit using the moment method, in: Numerical Methods for Partial Differential Equations, 2018. [ DOI : 10.1002/num.22345 ]
https://hal.archives-ouvertes.fr/hal-01727725 -
18M. A. Fernández, M. Landajuela.
Splitting schemes and unfitted mesh methods for the coupling of an incompressible fluid with a thin-walled structure, in: IMA Journal of Numerical Analysis, December 2018.
https://hal.inria.fr/hal-01309462 -
19J.-F. Gerbeau, D. Lombardi, E. Tixier.
A moment-matching method to study the variability of phenomena described by partial differential equations, in: SIAM Journal on Scientific Computing, May 2018, vol. 40, no 3.
https://hal.archives-ouvertes.fr/hal-01391254 -
20C. Jaquet, L. Najman, H. Talbot, L. Grady, M. Schaap, B. Spain, H. J. Kim, I. Vignon-Clementel, C. A. Taylor.
Generation of patient-specific cardiac vascular networks: a hybrid image-based and synthetic geometric model, in: IEEE Transactions on Biomedical Engineering, 2018. [ DOI : 10.1109/TBME.2018.2865667 ]
https://hal.archives-ouvertes.fr/hal-01869264 -
21S. E. Lindsey, J. T. Butcher, I. Vignon-Clementel.
Cohort-based multiscale analysis of hemodynamic-driven growth and remodeling of the embryonic pharyngeal arch arteries, in: Development (Cambridge, England), October 2018, vol. 145, no 20, dev162578 p. [ DOI : 10.1242/dev.162578 ]
https://hal.inria.fr/hal-01954783 -
22S. Pant, C. Corsini, C. Baker, T.-Y. Hsia, G. Pennati, I. Vignon-Clementel.
A Lumped Parameter Model to Study Atrioventricular Valve Regurgitation in Stage 1 and Changes Across Stage 2 Surgery in Single Ventricle Patients, in: IEEE Transactions on Biomedical Engineering, November 2018, vol. 65, no 11, pp. 2450-2458. [ DOI : 10.1109/tbme.2018.2797999 ]
https://hal.inria.fr/hal-01954784 -
23N. Pozin, S. Montesantos, I. Katz, M. Pichelin, I. Vignon-Clementel, C. Grandmont.
Predicted airway obstruction distribution based on dynamical lung ventilation data: a coupled modeling-machine learning methodology, in: International Journal for Numerical Methods in Biomedical Engineering, 2018. [ DOI : 10.1002/cnm.3108 ]
https://hal.archives-ouvertes.fr/hal-01568065 -
24F. 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, 2018, vol. 65, no 6, pp. 1311-1319. [ DOI : 10.1109/TBME.2017.2748798 ]
https://hal.archives-ouvertes.fr/hal-01570341 -
25E. Tixier, F. Raphel, D. Lombardi, J.-F. Gerbeau.
Composite biomarkers derived from Micro-Electrode Array measurements and computer simulations improve the classification of drug-induced channel block, in: Frontiers in Physiology, 2018, vol. 8, no 1096, pp. 1-30. [ DOI : 10.3389/fphys.2017.01096 ]
https://hal.archives-ouvertes.fr/hal-01570819
Scientific Books (or Scientific Book chapters)
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26A. Caiazzo, I. Vignon-Clementel.
Mathematical Modeling of Blood Flow in the Cardiovascular System, in: Quantification of Biophysical Parameters in Medical Imaging, Springer International Publishing, February 2018, pp. 45-70.
https://hal.inria.fr/hal-01955520
Internal Reports
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27E. Burman, M. A. Fernández, S. Frei.
A Nitsche-based formulation for fluid-structure interactions with contact, Inria, May 2018, no RR-9172.
https://hal.inria.fr/hal-01784841
Other Publications
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28L. Boilevin-Kayl, M. A. Fernández, J.-F. Gerbeau.
A loosely coupled scheme for fictitious domain approximations of fluid-structure interaction problems with immersed thin-walled structures, June 2018, working paper or preprint.
https://hal.inria.fr/hal-01811290 -
29A. Bondesan, L. Boudin, M. Briant, B. Grec.
Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions, November 2018, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01924308 -
30L. Boudin, B. Grec, V. Pavan.
Diffusion models for mixtures using a stiff dissipative hyperbolic formalism, May 2018, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01786824 -
31M. Boulakia, S. Guerrero, T. Takahashi.
Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure, November 2018, working paper or preprint.
https://hal.inria.fr/hal-01939464 -
32E. Cancès, V. Ehrlacher, D. Gontier, A. Levitt, D. Lombardi.
Numerical quadrature in the Brillouin zone for periodic Schrödinger operators, May 2018, https://arxiv.org/abs/1805.07144 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01796582 -
33J.-F. Gerbeau, D. Lombardi, E. Tixier.
How to choose biomarkers in view of parameter estimation, June 2018, working paper or preprint.
https://hal.inria.fr/hal-01811158 -
34C. Grandmont, S. Martin.
Continuous and semi-discrete stability estimates for 3d/0d coupled systems modelling airflows and blood flows, September 2018, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01734706 -
35A. This, L. Boilevin-Kayl, M. A. Fernández, J.-F. Gerbeau.
Augmented Resistive Immersed Surfaces valve model for the simulation of cardiac hemodynamics with isovolumetric phases, December 2018, working paper or preprint.
https://hal.inria.fr/hal-01944798
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36A. Amsden, P. O'Rourke, T. Butler.
A computer program for chemically reactive flows with sprays, Los Alamos National Laboratory, 1989, no LA-11560-MS. -
37M. A. Biot.
Theory of propagation of elastic waves in a fluid-saturated porous solid. II higher frequency range, in: J. Acoust. Soc. Am., 1956, vol. 28, pp. 179–191. -
38D. Chapelle, J. Sainte-Marie, J.-F. Gerbeau, I. Vignon-Clementel.
A poroelastic model valid in large strains with applications to perfusion in cardiac modeling, in: Computational Mechanics, 2010, vol. 46, no 1, pp. 91-101. [ DOI : 10.1007/s00466-009-0452-x ] -
39J. Dupays, Y. Fabignon, P. Villedieu, G. Lavergne, G. Estivalezes.
Some aspects of two phase flows in solid propellant rocket motors, in Solid propellant chemistry, combustion and interior ballistics, in: Progress in Astronautics and Aeronautics, V. Yang, T. Brill, W. Pen (editors), Academic Press, 2000, vol. 185. -
40G. Lines, P. Grottum, A. Tveito.
Modeling the electrical activity of the heart. A bidomain model of the ventricles embedded in a torso, in: Comput. Visual. Sci., 2003, vol. 5, pp. 195-213. -
41R. Motte.
A numerical method for solving particle-fluid equations, in: Trends in numerical and physical modeling for industrial multiphase flows, Cargèse, France, 2000. -
42A. Quarteroni, S. Ragni, A. Veneziani.
Coupling between lumped and distributed models for blood flow problems, in: Comput. Visual Sci., 2001, vol. 4, pp. 111–124. -
43F. Sachse.
Computational Cardiology: Modeling of Anatomy, Electrophysiology, and Mechanics, Springer-Verlag, 2004. -
44J. Sundnes, G. Lines, X. Cai, B. Nielsen, K.-A. Mardal, A. Tveito.
Computing the electrical activity in the heart, Springer-Verlag, 2006. -
45K. Terzaghi.
Theoretical Soil Mechanics, John Wiley and Sons, New-York, 1943. -
46F. Williams.
Combustion theory, 2nd, Benjamin Cummings, 1985.