]. M. Becker and M. Teschner, Weakly compressible SPH for free surface flows, Symposium on Computer Animation Eurographics Association, pp.209-217, 2007.

. Belaidi, ]. A. Pierscionek, B. K. Belaidi, and . Pierscionek, Modeling internal stress distributions in the human lens: Can opponent theories coexist?, Journal of Vision, vol.7, issue.11, pp.1-12, 2007.
DOI : 10.1167/7.11.1

. Bilger, Intra-Operative Registration for Stereotactic Procedures Driven by a Combined Biomechanical Brain and CSF Model, ISBMS -International Symposium on Biomedical Simulation, p.125, 2014.
DOI : 10.1007/978-3-319-12057-7_9

URL : https://hal.archives-ouvertes.fr/hal-01058435

. Bilger, Computation and Visualization of Risk Assessment in Deep Brain Stimulation, MMVR 21 -Medicine Meets Virtual Reality, p.126, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00881694

]. R. Bridson, Fast Poisson disk sampling in arbitrary dimensions, ACM SIGGRAPH 2007 sketches on, SIGGRAPH '07, p.126, 2007.
DOI : 10.1145/1278780.1278807

. Causin, Algebraic factorizations for 3D non-hydrostatic free surface flows, Computing and Visualization in Science, vol.5, issue.2, pp.85-94, 2002.
DOI : 10.1007/s00791-002-0090-8

. Causin, Added-mass effect in the design of partitioned algorithms for fluid???structure problems, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.42-44, pp.4506-4527, 2004.
DOI : 10.1016/j.cma.2004.12.005

URL : https://hal.archives-ouvertes.fr/hal-00695954

C. Et-doolen, ]. S. Chen, and G. D. Doolen, Lattice boltzmann method for fluid flows, Annual Review of Fluid Mechanics, vol.30, issue.1, pp.329-364, 1998.

C. Et-müller, ]. N. Chentanez, and M. Müller, Real-time Eulerian Water Simulation Using a Restricted Tall Cell Grid, ACM SIGGRAPH, pp.1-82, 2011.

]. A. Chorin, Numerical solution of the Navier-Stokes equations, Mathematics of Computation, vol.22, issue.104, pp.745-762, 1968.
DOI : 10.1090/S0025-5718-1968-0242392-2

]. S. Coleman, Facial Augmentation With Structural Fat Grafting, Clinics in Plastic Surgery, vol.33, issue.4, pp.567-577, 2006.
DOI : 10.1016/j.cps.2006.09.002

. Comas, A Shell Model for Real-Time Simulation of Intra-ocular Implant Deployment, International Symposium on Computational Models for Biomedical Simulation, pp.160-170, 2010.
DOI : 10.1007/978-3-642-11615-5_17

URL : https://hal.archives-ouvertes.fr/hal-00533430

]. R. Cook, Concepts and applications of finite element analysis, p.127, 1981.

]. J. Cooper, A brief history of the development of mannequin simulators for clinical education and training, Postgraduate Medical Journal, vol.84, issue.997, pp.563-570, 2008.
DOI : 10.1136/qshc.2004.009886

]. H. Courtecuisse, Nouvelles architecturesparalì eles pour simulations interactives médicales. These, p.127, 2011.

. Courtecuisse, Preconditioner-Based Contact Response and Application to Cataract Surgery, MICCAI -14th International Conference on Medical Image Computing and Computer Assisted Intervention -2011, pp.315-322, 2011.
DOI : 10.1007/978-3-540-70521-5_17

URL : https://hal.archives-ouvertes.fr/hal-00685593

. Courtecuisse, Real-time simulation of contact and cutting of heterogeneous soft-tissues. Medical Image Analysis, p.127, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01097108

]. M. Crisfield, Non-Linear Finite Element Analysis of Solids and Structures : Advanced Topics, p.127, 1997.

. Dang, Development and evaluation of an epidural injection simulator with force feedback for medical training, Studies in health technology and informatics, pp.97-102, 2001.

. Dequidt, Computer-based training system for cataract surgery. Transactions of the Society for Modeling and Simulation International URL https, pp.1421-1435, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00839447

D. Et-cani, ]. M. Desbrun, and M. Cani, Smoothed Particles : A new paradigm for animating highly deformable bodies, Eurographics Workshop on Computer Animation and Simulation (EGCAS), pp.61-76, 1996.

. Elcott, Stable, circulation-preserving, simplicial fluids, ACM Trans. Graph, vol.26, issue.1, pp.1-12, 2007.

F. Et-lesoinne, ]. C. Farhat, and M. Lesoinne, Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems, Computer Methods in Applied Mechanics and Engineering, vol.182, pp.3-4, 2000.

. Faure, SOFA: A Multi-Model Framework for Interactive Physical Simulation, In Soft Tissue Biomechanical Modeling for Computer Assisted Surgery Studies in Mechanobiology Tissue Engineering and Biomaterials, vol.11, pp.283-321, 2012.
DOI : 10.1007/8415_2012_125

URL : https://hal.archives-ouvertes.fr/hal-00681539

. Fedkiw, Visual simulation of smoke, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.15-22, 2001.
DOI : 10.1145/383259.383260

. Felippa, Partitioned analysis of coupled mechanical systems, Computer Methods in Applied Mechanics and Engineering, vol.190, pp.24-25, 2001.

F. Et-moubachir, ]. M. Fernández, and M. Moubachir, A Newton method using exact jacobians for solving fluid?structure coupling, Computers & Structures, vol.83, issue.2, pp.3-127, 2005.

. Ferrari, ]. S. Saleri, F. Ferrari, and . Saleri, A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography, ESAIM: Mathematical Modelling and Numerical Analysis, vol.38, issue.2, pp.211-234, 2004.
DOI : 10.1051/m2an:2004010

. Fontana, A finite element method for 3D hydrostatic water flows, Computing and Visualization in Science, vol.2, issue.2-3, pp.85-93, 1999.
DOI : 10.1007/s007910050031

]. N. Foster-et-metaxas, D. Foster, and . Metaxas, Realistic Animation of Liquids, Graphical Models and Image Processing, vol.58, issue.5, pp.471-483, 1996.
DOI : 10.1006/gmip.1996.0039

. Fuchs, Augmented reality visualization for laparoscopic surgery, Medical Image Computing and Computer-Assisted Intervention, pp.934-943, 1998.
DOI : 10.3171/jns.1986.64.3.0427

W. H. Harlow, J. E. Harlow, and . Welch, Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface, Physics of Fluids, vol.8, issue.12, pp.2182-2189, 1965.
DOI : 10.1063/1.1761178

]. M. Harris, . Gpu, and . Gems, Programming Techniques, Tips and Tricks for Real- Time Graphics, chap. Chapter 38, Fast Fluid Dynamics Simulation on the GPU. NVI- DIA Corporation, p.130, 2004.

. Herlin, Generic 3D Geometrical and Mechanical Modeling of the Skin/Subcutaneous Complex by a Procedural Hybrid Method, Biomedical Simulation, pp.173-181, 2014.
DOI : 10.1007/978-3-319-12057-7_20

URL : https://hal.archives-ouvertes.fr/lirmm-01239192

. Hoehnke, Minimal invasive reconstruction of posttraumatic hemi facial atrophy by 3-D computer-assisted lipofilling, Journal of Plastic, Reconstructive & Aesthetic Surgery, vol.60, issue.10, pp.1138-1144, 2007.
DOI : 10.1016/j.bjps.2007.01.068

I. Et-gerdemeli, ]. C. Imrak, and I. Gerdemeli, An exact solution for the deflection of a clamped rectangular plate under uniform load Applied mathematical sciences, pp.2129-2137, 2007.

. Janse, A virtual reality simulator for hysteroscopic placement of tubal sterilization micro-inserts: the face and construct validity, Gynecological Surgery, vol.84, issue.3, pp.181-188, 2013.
DOI : 10.1007/s10397-013-0790-8

. Jaroszewski, Current Management of Pectus Excavatum: A Review and Update of Therapy and Treatment Recommendations, The Journal of the American Board of Family Medicine, vol.23, issue.2, pp.230-239230, 2010.
DOI : 10.3122/jabfm.2010.02.090234

. Joldes, Real-Time Prediction of Brain Shift Using Nonlinear Finite Element Algorithms, MICCAI, pp.300-307, 2009.
DOI : 10.1007/978-3-642-04271-3_37

]. S. Karri, 2D Thin-Film Flow of a Non-Newtonian Fluid Between Elastic Boundaries, pp.12-131, 1808.

K. Et-miller, ]. M. Kass, and G. Miller, Rapid, Stable Fluid Dynamics for, Computer Graphics . SIGGRAPH Comput. Graph, vol.24, issue.4, pp.49-57, 1990.

]. G. Kazmitcheff, L. Sciences, . Des, and . De-lille, Dynamical modeling of the middle ear and tools organs interactions to develop a simulator applied to otological surgery. Theses, p.131, 2014.
URL : https://hal.archives-ouvertes.fr/tel-01105262

. Keeve, Deformable Modeling of Facial Tissue for Craniofacial Surgery Simulation, Computer Aided Surgery, vol.1808, issue.5, pp.228-238, 1998.
DOI : 10.1097/00004424-199407000-00009

. Kim, FlowFixer : Using BFECC for Fluid Simulation, NPH, pp.51-56, 2005.

]. G. Klein, Visual Tracking for Augmented Reality, p.131, 2006.

. Kohn, To Err Is Human : Building a Safer Health System. The National Academies Press, p.131, 2000.

]. R. Lambert, The Paris Endoscopic Classification of Superficial Neoplastic Lesions : Esophagus, Stomach, and Colon, Gastrointestinal endoscopy, 2003.

. Li, Three Dimensional Poroelastic Simulation of Brain Edema: Initial Studies on Intracranial Pressure, World Congress on Medical Physics and Biomedical Engineering, pp.1478-1481, 2010.
DOI : 10.1007/978-3-642-03882-2_392

. Lopez-serna, Knowledge of skull base anatomy and surgical implications of human sacrifice among pre-Columbian Mesoamerican cultures, Neurosurgical Focus, vol.33, issue.2, p.1, 2012.
DOI : 10.3171/2012.6.FOCUS12120

]. L. Lucy, A numerical approach to the testing of the fission hypothesis, The Astronomical Journal, vol.82, issue.12, pp.1013-1924, 1977.
DOI : 10.1086/112164

]. M. Macklin and M. Müller, Position based fluids, ACM Transactions on Graphics, vol.32, issue.4, pp.1-10412, 2013.
DOI : 10.1145/2461912.2461984

. Majorczyk, Simulation of Lipofilling Reconstructive Surgery Using Coupled Eulerian Fluid and Deformable Solid Models, Medical Image Computing and Computer Assisted Intervention Society, pp.299-306, 2013.
DOI : 10.1007/978-3-642-40760-4_38

URL : https://hal.archives-ouvertes.fr/hal-00838650

. Majorczyk, Simulation de l'interaction entre film fluide et solides déformables, pp.15-24, 2014.

]. F. Marche, Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects, European Journal of Mechanics - B/Fluids, vol.26, issue.1, pp.49-63, 2007.
DOI : 10.1016/j.euromechflu.2006.04.007

. Marescaux, Virtual Reality Applied to Hepatic Surgery Simulation: The Next Revolution, Annals of Surgery, vol.228, issue.5, pp.627-634, 1998.
DOI : 10.1097/00000658-199811000-00001

URL : https://hal.archives-ouvertes.fr/inria-00615079

. Marescaux, Augmented-reality?assisted laparoscopic adrenalectomy, JAMA, vol.292, issue.18, pp.2211-2215, 2004.

M. Et-steindorf, ]. H. Matthies, and J. Steindorf, Partitioned strong coupling algorithms for fluid?structure interaction, Computers & Structures, vol.81, issue.68, pp.805-812, 2003.

. Miglio, Finite element approximation of Quasi-3D shallow water equations, Computer Methods in Applied Mechanics and Engineering, vol.174, issue.3-4, pp.3-4, 1999.
DOI : 10.1016/S0045-7825(98)00304-1

P. S. Miller, A. Miller, and . Pearce, Globular dynamics: A connected particle system for animating viscous fluids, Computers & Graphics, vol.13, issue.3, pp.305-309, 1989.
DOI : 10.1016/0097-8493(89)90078-2

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

. Moghani, Finite element simulation of elastohydrodynamic lubrication of soft biological tissues, Computers & Structures, vol.85, issue.11-14, pp.11-14, 2007.
DOI : 10.1016/j.compstruc.2006.08.026

. Müller, Stable Realtime Deformations, Proceedings of the 2002 ACM SIGGRAPH/Eurographics Symposium on Computer Animation, SCA '02, pp.49-54, 2002.

. Müller, Interaction of fluids with deformable solids, Computer Animation and Virtual Worlds, vol.15, issue.34, pp.3-4, 2004.
DOI : 10.1002/cav.18

. Müller, Particle-based fluidfluid interaction, Symposium on Computer Animation, pp.237-244, 2005.

]. K. Murty, Linear Complementarity, Linear and Nonlinear Programming, p.134, 1997.

. Nobili, Numerical simulation of the dynamics of a bileaflet prosthetic heart valve using a fluid???structure interaction approach, Journal of Biomechanics, vol.41, issue.11, pp.2539-2550, 2008.
DOI : 10.1016/j.jbiomech.2008.05.004

. Pallua, Improvement of facial scar appearance and microcirculation by autologous lipofilling, Journal of Plastic, Reconstructive & Aesthetic Surgery, vol.67, issue.8, pp.1033-1040, 2014.
DOI : 10.1016/j.bjps.2014.04.030

. Pieper, Interactive graphics for plastic surgery, Proceedings of the 1992 symposium on Interactive 3D graphics , SI3D '92, pp.127-134, 1992.
DOI : 10.1145/147156.147180

. Piperno, Partitioned procedures for the transient solution of coupled aroelastic problems Part I: Model problem, theory and two-dimensional application, Computer Methods in Applied Mechanics and Engineering, vol.124, issue.1-2, pp.79-112, 1995.
DOI : 10.1016/0045-7825(95)92707-9

]. J. Przemieniecki, Theory of Matrix Structural Analysis, Dover Civil and Mechanical Engineering, p.134, 1985.

. Roose, Validation of different soft tissue simulation methods for breast augmentation, CARS 2005 : Computer Assisted Radiology and Surgery, pp.485-90, 2005.
DOI : 10.1016/j.ics.2005.03.126

. Roose, Simulation of Soft-Tissue Deformations for Breast Augmentation Planning, Biomedical Simulation, pp.197-205, 2006.
DOI : 10.1007/11790273_22

]. G. Ruiz, Les modèles en papier maché du docteur Auzoux au Musée de l' ´ Ecole Nationale Vétérinaire d'Alfort, 2010.

. Seymour, Virtual Reality Training Improves Operating Room Performance, Annals of Surgery, vol.236, issue.4, pp.458-64, 2002.
DOI : 10.1097/00000658-200210000-00008

. Sfm and . Sfm, Guide de validation des progiciels de calcul de structures, p.135, 1990.

. Shacra and . Shacra, Project-Team SHACRA. Tech. rep., Inria, 2014. URL https://raweb.inria.fr/rapportsactivite, Activity Report, vol.2014, issue.7, p.135

]. J. Shewchuk, An Introduction to the Conjugate Gradient Method Without the Agonizing Pain, Tech. rep, 1994.

]. M. Shiffman, Autologous Fat Transfer, chap. History of Autologous Fat Transplant Survival, pp.5-10, 2010.

. Smith, euHeart: personalized and integrated cardiac care using patient-specific cardiovascular modelling, Interface Focus, vol.41, issue.10, pp.349-364, 2011.
DOI : 10.1016/j.jbiomech.2008.04.035

URL : https://hal.archives-ouvertes.fr/inria-00616189

]. B. Solenthaler-et-pajarola, R. Solenthaler, and . Pajarola, Predictive-corrective incompressible SPH, ACM Transactions on Graphics, vol.28, issue.3, pp.1-40, 2009.
DOI : 10.1145/1531326.1531346

]. J. Stam, Stable fluids, Proceedings of the 26th annual conference on Computer graphics and interactive techniques , SIGGRAPH '99, pp.121-128, 1999.
DOI : 10.1145/311535.311548

]. J. Stam, Flows on surfaces of arbitrary topology, ACM Transactions on Graphics, vol.22, issue.3, pp.724-731, 2003.
DOI : 10.1145/882262.882338

]. J. Stoker, Water Waves : The Mathematical Theory with Applications, p.136, 1958.
DOI : 10.1002/9781118033159

. Suzuki, Virtual surgery system using deformable organ models and force feedback system with three fingers, MICCAI'98, pp.397-403, 1998.
DOI : 10.1109/2.481435

. Takahashi, Gastric Cancer: Current Status of Diagnosis and Treatment, Cancers, vol.5, issue.1, pp.48-63, 2013.
DOI : 10.3390/cancers5010048

]. H. Talbot, Interactive Patient-Specific Simulation of Cardiac Electrophysiology. Theses URL https, p.136, 2014.
URL : https://hal.archives-ouvertes.fr/tel-01097201

T. Et-waters, ]. D. Terzopoulos, and K. Waters, Physically-based facial modelling, analysis, and animation, The Journal of Visualization and Computer Animation, vol.1, issue.2, pp.73-80, 1990.

]. C. Vreugdenhil, Numerical Methods for Shallow-Water Flow, NATO Asi Series. Series C, Mathematical and Physical Science, vol.13, p.136, 1994.
DOI : 10.1007/978-94-015-8354-1

. Wang, A virtual reality surgery simulation of cutting and retraction in neurosurgery with force-feedback, Computer Methods and Programs in Biomedicine, vol.84, issue.1, pp.11-18, 2006.
DOI : 10.1016/j.cmpb.2006.07.006