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G. Ilizarov, F. Monasterio, M. Drucker, F. Molina, and A. Ysunza, The principles of the Ilizarov method Distraction osteogenesis in Pierre Robin sequence and related respiratory problems in children, Bull Hosp Jt Dis Orthop Inst J Craniofac Surg, vol.48133, issue.84, pp.1-11, 1988.

N. Karp, C. Thorne, J. Mccarthy, H. Sissons, P. Diner et al., Bone lengthening in the craniofacial skeleton Intraoral distraction for mandibular lengthening: a technical innovation Mandibular widening by intraoral distraction osteogenesis, Ann Plast Surg J Craniomaxillofac Surg Br J Oral Maxillofac Surg, vol.2424356, pp.231-238, 1990.

C. Savoldelli, V. Lesne, E. Ciszek, J. Lebeau, G. Bettega et al., [Symphyseal distraction: a simplified procedure] Prospective changes to condylar position in symphyseal distraction osteogenesis Mandibular midline distraction: a systematic review, Rev Stomatol Chir Maxillofac Oral Surg Oral Med Oral Pathol Oral Radiol Endod J Craniomaxillofac Surg, vol.111106409, pp.259-69, 2008.

C. Savoldelli, Y. Tillier, P. Bouchard, and G. Odin, Apport de la m??thode des ??l??ments finis en chirurgie maxillofaciale, Revue de Stomatologie et de Chirurgie Maxillo-faciale, vol.110, issue.1, pp.27-33, 2009.
DOI : 10.1016/j.stomax.2008.10.001

M. Samchukov, J. Cope, R. Harper, and J. Ross, Biomechanical considerations of mandibular lengthening and widening by gradual distraction using a computer model, Journal of Oral and Maxillofacial Surgery, vol.56, issue.1, pp.51-60, 1998.
DOI : 10.1016/S0278-2391(98)90916-8

C. Snyder, G. Levine, H. Swanson, E. Browne, and J. , MANDIBULAR LENGTHENING BY GRADUAL DISTRACTION, Plastic and Reconstructive Surgery, vol.51, issue.5, pp.506-514, 1973.
DOI : 10.1097/00006534-197305000-00003

J. Mccarthy, J. Schreiber, N. Karp, C. Thorne, and B. Grayson, Lengthening the Human Mandible by Gradual Distraction, Plastic and Reconstructive Surgery, vol.89, issue.1, pp.1-8, 1992.
DOI : 10.1097/00006534-199289010-00001

D. Lee, K. Ham, S. Kwon, D. Lew, and E. Cho, Dual Midfacial Distraction Osteogenesis for Crouzon Syndrome: Long-Term Follow-Up Study for Relapse and Growth, Journal of Oral and Maxillofacial Surgery, vol.70, issue.3, pp.242-51, 2012.
DOI : 10.1016/j.joms.2011.11.010

A. Alkan, M. Ozer, B. Bas, M. Bayram, N. Celebi et al., Mandibular symphyseal distraction osteogenesis: review of three techniques, International Journal of Oral and Maxillofacial Surgery, vol.36, issue.2, pp.111-118, 2007.
DOI : 10.1016/j.ijom.2006.11.005

M. Mommaerts, Bone anchored intraoral device for transmandibular distraction, British Journal of Oral and Maxillofacial Surgery, vol.39, issue.1, pp.8-12, 2001.
DOI : 10.1054/bjom.2000.0480

M. Orhan, S. Malkoc, S. Usumez, and S. Uckan, Mandibular symphyseal distraction and its geometrical evaluation: report of a case, Angle Orthod, vol.73, pp.194-200, 2003.

H. Gokalp, Effects of symphyseal distraction osteogenesis on the temporomandibular joint seen with magnetic resonance imaging and computerized tomography, American Journal of Orthodontics and Dentofacial Orthopedics, vol.134, issue.5, pp.689-99, 2008.
DOI : 10.1016/j.ajodo.2006.10.033

W. Bell, R. Harper, M. Gonzalez, A. Cherkashin, and M. Samchukov, Distraction osteogenesis to widen the mandible, British Journal of Oral and Maxillofacial Surgery, vol.35, issue.1, pp.11-20, 1997.
DOI : 10.1016/S0266-4356(97)90003-6

V. Willard, B. Arzi, and K. Athanasiou, The attachments of the temporomandibular joint disc: A biochemical and histological investigation, Archives of Oral Biology, vol.57, issue.6, pp.599-606, 2012.
DOI : 10.1016/j.archoralbio.2011.10.004

C. Shi, G. Wright, C. Ex-lubeskie, A. Bradshaw, and H. Yao, Relationship between anisotropic diffusion properties and tissue morphology in porcine TMJ disc, Osteoarthritis and Cartilage, vol.21, issue.4, pp.625-658, 2013.
DOI : 10.1016/j.joca.2013.01.010

L. Naidoo, Lateral pterygoid muscle and its relationship to the meniscus of the temporomandibular joint, Oral Surg Oral Med Oral Pathol Oral Radiol Endod, vol.82, pp.4-9, 1996.

J. Chassagne, S. Chassagne, L. Deblock, P. Gillet, J. Kahn et al., Pathologie non traumatique de l'articulation temporo-mandibulaire, In: Encyclopédie Médico-Chirurgicale Stomatologie, 2003.

S. Park, Y. Yang, Y. Kim, B. Cho, Y. Jung et al., Effect of Bimaxillary Surgery on Adaptive Condylar Head Remodeling: Metric Analysis and Image Interpretation Using Cone-Beam Computed Tomography Volume Superimposition, Journal of Oral and Maxillofacial Surgery, vol.70, issue.8, pp.1951-1960, 2012.
DOI : 10.1016/j.joms.2011.08.017

Q. Xiangdong, M. Limin, and Z. Shizhen, The influence of the closing and opening muscle groups of jaw condyle biomechanics after mandible bilateral sagittal split ramus osteotomy, Journal of Cranio-Maxillofacial Surgery, vol.40, issue.6, pp.159-64, 2012.
DOI : 10.1016/j.jcms.2011.07.024

J. Chen, U. Akyuz, L. Xu, and R. Pidaparti, Stress analysis of the human temporomandibular joint, Medical Engineering & Physics, vol.20, issue.8, pp.565-72, 1998.
DOI : 10.1016/S1350-4533(98)00070-8

J. Devocht, V. Goel, D. Zeitler, and D. Lew, A study of the control of disc movement within the temporomandibular joint using the finite element technique, Journal of Oral and Maxillofacial Surgery, vol.54, issue.12, pp.1431-1438, 1996.
DOI : 10.1016/S0278-2391(96)90259-1

J. Devocht, V. Goel, D. Zeitler, and D. Lew, Experimental validation of a finite element model of the temporomandibular joint, Journal of Oral and Maxillofacial Surgery, vol.59, issue.7, pp.775-783, 2001.
DOI : 10.1053/joms.2001.24292

G. Odin, C. Savoldelli, P. Bouchard, and Y. Tillier, Determination of Young's modulus of mandibular bone using inverse analysis, Medical Engineering & Physics, vol.32, issue.6, pp.630-637, 2010.
DOI : 10.1016/j.medengphy.2010.03.009

Z. Liu, Y. Fan, and Y. Qian, Comparative evaluation on three-dimensional finite element models of the temporomandibular joint, Clinical Biomechanics, vol.23, issue.1, pp.53-61, 2008.
DOI : 10.1016/j.clinbiomech.2007.12.011

E. Tanaka, D. Dalla-bona, T. Iwabe, N. Kawai, E. Yamano et al., The Effect of Removal of the Disc on the Friction in the Temporomandibular Joint, Journal of Oral and Maxillofacial Surgery, vol.64, issue.8, pp.1221-1225, 2006.
DOI : 10.1016/j.joms.2006.04.017

E. Tanaka, D. Pozo, R. Sugiyama, M. Tanne, and K. , Biomechanical response of retrodiscal tissue in the temporomandibular joint under compression, Journal of Oral and Maxillofacial Surgery, vol.60, issue.5, pp.546-51, 2002.
DOI : 10.1053/joms.2002.31853

E. Tanaka, R. Del-pozo, M. Tanaka, D. Asai, M. Hirose et al., Three-dimensional finite element analysis of human temporomandibular joint with and without disc displacement during jaw opening, Medical Engineering & Physics, vol.26, issue.6, pp.503-514, 2004.
DOI : 10.1016/j.medengphy.2004.03.001

E. Tanaka, K. Hanaoka, T. Van-eijden, M. Tanaka, M. Watanabe et al., Dynamic Shear Properties of the Temporomandibular Joint Disc, Journal of Dental Research, vol.82, issue.3, pp.228-259, 2003.
DOI : 10.1177/154405910308200315

E. Tanaka, M. Hirose, J. Koolstra, T. Van-eijden, Y. Iwabuchi et al., Modeling of the Effect of Friction in the Temporomandibular Joint on Displacement of Its Disc During Prolonged Clenching, Journal of Oral and Maxillofacial Surgery, vol.66, issue.3, pp.462-470, 2008.
DOI : 10.1016/j.joms.2007.06.640

E. Tanaka, D. Rodrigo, Y. Miyawaki, K. Lee, K. Yamaguchi et al., Stress distribution in the temporomandibular joint affected by anterior disc displacement: a threedimensional analytic approach with the finite-element method, J Oral Rehabil, vol.27, pp.754-763, 2000.

E. Tanaka, D. Rodrigo, M. Tanaka, A. Kawaguchi, T. Shibazaki et al., Stress analysis in the TMJ during jaw opening by use of a three-dimensional finite element model based on magnetic resonance images, International Journal of Oral and Maxillofacial Surgery, vol.30, issue.5, pp.421-451, 2001.
DOI : 10.1054/ijom.2001.0132

E. Tanaka, A. Sasaki, K. Tahmina, K. Yamaguchi, Y. Mori et al., Mechanical properties of human articular disk and its influence on TMJ loading studied with the finite element method, Journal of Oral Rehabilitation, vol.5, issue.3, pp.273-282, 2001.
DOI : 10.1016/0047-6374(80)90002-0

E. Tanaka, N. Kawai, M. Tanaka, M. Todoh, T. Van-eijden et al., The Frictional Coefficient of the Temporomandibular Joint and Its Dependency on the Magnitude and Duration of Joint Loading, Journal of Dental Research, vol.83, issue.5, pp.404-411, 2004.
DOI : 10.1177/154405910408300510

M. Beek, M. Aarnts, J. Koolstra, A. Feilzer, and T. Van-eijden, Dynamic Properties of the Human Temporomandibular Joint Disc, Journal of Dental Research, vol.80, issue.3, pp.876-80, 2001.
DOI : 10.1177/00220345010800030601

M. Beek, J. Koolstra, and T. Van-eijden, Human temporomandibular joint disc cartilage as a poroelastic material, Clinical Biomechanics, vol.18, issue.1, pp.69-76, 2003.
DOI : 10.1016/S0268-0033(02)00135-3

M. Beek, J. Koolstra, L. Van-ruijven, and T. Van-eijden, Three-dimensional finite element analysis of the human temporomandibular joint disc, Journal of Biomechanics, vol.33, issue.3, pp.307-323, 2000.
DOI : 10.1016/S0021-9290(99)00168-2

J. Koolstra, E. Tanaka, and T. Van-eijden, Viscoelastic material model for the temporomandibular joint disc derived from dynamic shear tests or strain-relaxation tests, Journal of Biomechanics, vol.40, issue.10, pp.2330-2334, 2007.
DOI : 10.1016/j.jbiomech.2006.10.019

J. Koolstra and E. Tanaka, Tensile stress patterns predicted in the articular disc of the human temporomandibular joint, Journal of Anatomy, vol.33, issue.4, pp.411-417, 2009.
DOI : 10.1111/j.1469-7580.2009.01127.x

J. Koolstra and T. Van-eijden, Combined finite-element and rigid-body analysis of human jaw joint dynamics, Journal of Biomechanics, vol.38, issue.12, pp.2431-2440, 2005.
DOI : 10.1016/j.jbiomech.2004.10.014

K. Hu, R. Qiguo, J. Fang, and J. Mao, Effects of condylar fibrocartilage on the biomechanical loading of the human temporomandibular joint in a three-dimensional, nonlinear finite element model, Medical Engineering & Physics, vol.25, issue.2, pp.107-120, 2003.
DOI : 10.1016/S1350-4533(02)00191-1

P. Donzelli, L. Gallo, R. Spilker, and S. Palla, Biphasic finite element simulation of the TMJ disc from in vivo kinematic and geometric measurements, Journal of Biomechanics, vol.37, issue.11, pp.1787-91, 2004.
DOI : 10.1016/j.jbiomech.2004.01.029

P. Hlinakova, T. Dostalova, J. Danek, J. Nedoma, and I. Hlavacek, Temporomandibular joint and its two-dimensional and three-dimensional modelling, Mathematics and Computers in Simulation, vol.80, issue.6, pp.1256-1268, 2010.
DOI : 10.1016/j.matcom.2009.08.007

T. Bezerra, F. Silva, H. Scarparo, F. Costa, and E. Studart-soares, Do erupted third molars weaken the mandibular angle after trauma to the chin region? A 3D finite element study, International Journal of Oral and Maxillofacial Surgery, vol.42, issue.4, pp.474-480, 2013.
DOI : 10.1016/j.ijom.2012.10.009

M. Jaisson, P. Lestriez, R. Taiar, and K. Debray, Finite element modeling of TMJ joint disc behavior, International Orthodontics, vol.10, issue.1, pp.66-84, 2012.
DOI : 10.1016/j.ortho.2011.12.009

A. Del-palomar and M. Doblare, 3D Finite Element Simulation of the Opening Movement of the Mandible in Healthy and Pathologic Situations, Journal of Biomechanical Engineering, vol.128, issue.2, pp.242-251, 2006.
DOI : 10.1115/1.2165697

A. Del-palomar, U. Santana-penin, M. Mora-bermudez, and M. Doblare, Clenching TMJs-Loads Increases in Partial Edentates: A 3D Finite Element Study, Annals of Biomedical Engineering, vol.33, issue.1, pp.1014-1037, 2008.
DOI : 10.1007/s10439-008-9487-y

P. Del-palomar, A. Doblare, and M. , Finite element analysis of the temporomandibular joint during lateral excursions of the mandible, Journal of Biomechanics, vol.39, issue.12, pp.2153-63, 2006.
DOI : 10.1016/j.jbiomech.2005.06.020

A. Perez-del-palomar and M. Doblare, Dynamic 3D FE modelling of the human temporomandibular joint during whiplash, Medical Engineering & Physics, vol.30, issue.6, pp.700-709, 2008.
DOI : 10.1016/j.medengphy.2007.07.009

A. Perez-del-palomar and M. Doblare, An accurate simulation model of anteriorly displaced TMJ discs with and without reduction, Medical Engineering & Physics, vol.29, issue.2, pp.216-242, 2007.
DOI : 10.1016/j.medengphy.2006.02.009

F. Basciftci, H. Korkmaz, H. Iseri, and S. Malkoc, Biomechanical evaluation of mandibular midline distraction osteogenesis by using the finite element method, American Journal of Orthodontics and Dentofacial Orthopedics, vol.125, issue.6, pp.706-721, 2004.
DOI : 10.1016/j.ajodo.2003.06.014

A. Boccaccio, L. Lamberti, C. Pappalettere, A. Carano, and M. Cozzani, Mechanical behavior of an osteotomized mandible with distraction orthodontic devices, Journal of Biomechanics, vol.39, issue.15, pp.2907-2925, 2006.
DOI : 10.1016/j.jbiomech.2005.09.016

A. Boccaccio, L. Lamberti, C. Pappalettere, M. Cozzani, and G. Siciliani, Comparison of different orthodontic devices for mandibular symphyseal distraction osteogenesis: A finite element study, American Journal of Orthodontics and Dentofacial Orthopedics, vol.134, issue.2, pp.260-269, 2008.
DOI : 10.1016/j.ajodo.2006.09.066

K. Kim, B. Cha, D. Choi, I. Jang, Y. Yi et al., A finite element study on the effects of midsymphyseal distraction osteogenesis on the mandible and articular disc, The Angle Orthodontist, vol.82, issue.3
DOI : 10.2319/041211-262.1

T. Shengyi and Y. Xu, Biomechanical properties and collagen fiber orientation of TMJ discs in dogs: Part 1. Gross anatomy and collagen fiber orientation of the discs, J Craniomandib Disord, vol.5, pp.28-34, 1991.

E. Tanaka, M. Tanaka, Y. Miyawaki, and K. Tanne, Viscoelastic properties of canine temporomandibular joint disc in compressive load-relaxation, Archives of Oral Biology, vol.44, issue.12, pp.1021-1027, 1999.
DOI : 10.1016/S0003-9969(99)00097-7

E. Tanaka, J. Aoyama, M. Tanaka, M. Watanabe, Y. Hattori et al., Biomechanical response of bovine temporomandibular joint disc to prolonged tensile stress, Archives of Oral Biology, vol.47, issue.5, pp.413-419, 2002.
DOI : 10.1016/S0003-9969(02)00013-4

E. Tanaka, M. Tanaka, J. Aoyama, M. Watanabe, Y. Hattori et al., Viscoelastic properties and residual strain in a tensile creep test on bovine temporomandibular articular discs, Archives of Oral Biology, vol.47, issue.2, pp.139-185, 2002.
DOI : 10.1016/S0003-9969(01)00096-6

E. Tanaka, R. Del-pozo, M. Tanaka, J. Aoyama, K. Hanaoka et al., Strain-rate effect on the biomechanical response of bovine temporomandibular joint disk under compression, Journal of Biomedical Materials Research, vol.31, issue.3, pp.761-766, 2003.
DOI : 10.1002/jbm.a.10019

R. Del-pozo, E. Tanaka, M. Tanaka, M. Kato, T. Iwabe et al., Influence of friction at articular surfaces of the temporomandibular joint on stresses in the articular disk: a theoretical approach with the finite element method, Angle Orthod, vol.73, pp.319-346, 2003.

V. Mow, S. Kuei, W. Lai, and C. Armstrong, Biphasic Creep and Stress Relaxation of Articular Cartilage in Compression: Theory and Experiments, Journal of Biomechanical Engineering, vol.102, issue.1, pp.73-84, 1980.
DOI : 10.1115/1.3138202

C. Savoldelli, P. Bouchard, R. Loudad, P. Baque, and Y. Tillier, Stress distribution in the temporo-mandibular joint discs during jaw closing: a high-resolution three-dimensional finite-element model analysis, Surgical and Radiologic Anatomy, vol.85, issue.5, pp.405-418, 2012.
DOI : 10.1007/s00276-011-0917-4

URL : https://hal.archives-ouvertes.fr/hal-00654635

Y. Tillier, A. Paccini, M. Durand-reville, and J. Chenot, Finite element modeling for soft tissue surgery based on linear and nonlinear elasticity behavior, Computer Aided Surgery, vol.4, issue.1, pp.63-71, 2006.
DOI : 10.1007/PL00007215

URL : https://hal.archives-ouvertes.fr/hal-00530651

E. Tanaka and J. Koolstra, Biomechanics of the Temporomandibular Joint, Journal of Dental Research, vol.87, issue.11, pp.989-91, 2008.
DOI : 10.1177/154405910808701101

J. Koolstra, T. Van-eijden, W. Weijs, and M. Naeije, A three-dimensional mathematical model of the human masticatory system predicting maximum possible bite forces, Journal of Biomechanics, vol.21, issue.7, pp.563-76, 1988.
DOI : 10.1016/0021-9290(88)90219-9

P. Bouletreau, R. Frey, P. Breton, and M. Freidel, Retentissement condylien de la chirurgie orthognathique, Revue de Stomatologie et de Chirurgie Maxillo-faciale, vol.105, issue.5, pp.283-291, 2004.
DOI : 10.1016/S0035-1768(04)72327-X

R. Benbelaid, B. Fleiter, A. Zouaoui, and J. Gaudy, Proposed graphical system of evaluating disc???condyle displacements of the temporomandibular joint in MRI, Surgical and Radiologic Anatomy, vol.182, issue.5, pp.361-368, 2005.
DOI : 10.1007/s00276-005-0013-8

A. Costa, C. Yasuda, S. Appenzeller, S. Lopes, and F. Cendes, Comparison of conventional MRI and 3D reconstruction model for evaluation of temporomandibular joint, Surgical and Radiologic Anatomy, vol.31, issue.8
DOI : 10.1007/s00276-008-0400-z

E. Tanaka, E. Yamano, D. Dalla-bona, M. Watanabe, T. Inubushi et al., Dynamic Compressive Properties of the Mandibular Condylar Cartilage, Journal of Dental Research, vol.85, issue.6, pp.571-576, 2006.
DOI : 10.1177/154405910608500618

E. Tanaka, M. Detamore, K. Tanimoto, and N. Kawai, Lubrication of the Temporomandibular Joint, Annals of Biomedical Engineering, vol.11, issue.Pt 3, pp.14-29, 2008.
DOI : 10.1007/s10439-007-9401-z

E. Tanaka, M. Detamore, and L. Mercuri, Degenerative Disorders of the Temporomandibular Joint: Etiology, Diagnosis, and Treatment, Journal of Dental Research, vol.87, issue.4, pp.296-307, 2008.
DOI : 10.1177/154405910808700406

A. Gupta, P. Hazarey, O. Kharbanda, V. Kohli, and A. Gunjal, Stress distribution in the temporomandibular joint after mandibular protraction: a 3-dimensional finite element study

A. Gupta, V. Kohli, P. Hazarey, O. Kharbanda, and A. Gunjal, Stress distribution in the temporomandibular joint after mandibular protraction: A 3-dimensional finite element method study. Part 1, American Journal of Orthodontics and Dentofacial Orthopedics, vol.135, issue.6, pp.737-785, 2009.
DOI : 10.1016/j.ajodo.2007.12.025

O. Rohrle and A. Pullan, Three-dimensional finite element modelling of muscle forces during mastication, Journal of Biomechanics, vol.40, issue.15, pp.3363-72, 2007.
DOI : 10.1016/j.jbiomech.2007.05.011

J. Koolstra and T. Van-eijden, Consequences of Viscoelastic Behavior in the Human Temporomandibular Joint Disc, Journal of Dental Research, vol.86, issue.12, pp.1198-202, 2007.
DOI : 10.1177/154405910708601211

T. Gunbay, M. Akay, A. Aras, and M. Gomel, Effects of Transmandibular Symphyseal Distraction on Teeth, Bone, and Temporomandibular Joint, Journal of Oral and Maxillofacial Surgery, vol.67, issue.10, pp.2254-65, 2009.
DOI : 10.1016/j.joms.2009.04.055

J. Leader, J. Boston, R. Debski, and T. Rudy, Mandibular kinematics represented by a non-orthogonal floating axis joint coordinate system, Journal of Biomechanics, vol.36, issue.2, pp.275-81, 2003.
DOI : 10.1016/S0021-9290(02)00337-8

C. Guilleminault and K. Li, Maxillomandibular Expansion for the Treatment of Sleep-Disordered Breathing: Preliminary Result, The Laryngoscope, vol.3, issue.5, pp.893-899, 2004.
DOI : 10.1097/00005537-200405000-00020