J. M. García-aznar, J. H. Kuiper, M. J. Gómez-benito, M. Doblaré, and J. B. Richardson, Computational simulation of fracture healing: influence of interfragmentary movement on the callus growth, J. Biomech, vol.40, issue.7, pp.1467-1476, 2007.

M. Doblaré, J. M. Garcia, and M. J. Gomez, Modelling bone tissue fracture and healing: a review, Eng. Fract. Mech, vol.71, pp.1809-1840, 2004.

V. Klika, M. Angelés, M. J. García-aznar, F. Mar?ík, and M. Doblaré, Mathematical Biology A coupled mechano-biochemical model for bone adaptation, Math. Biol, vol.69, pp.1383-1429, 2014.

I. Goda, J. F. Ganghoffer, and G. Maurice, Combined bone internal and external remodeling based on Eshelby stress, Int. J. Solids Struct, pp.138-157, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01415908

I. Goda, J. F. Ganghoffer, S. Czarnecki, P. Wawruch, T. Lewi et al., Optimal internal architectures of femoral bone based on relaxation by homogenization and isotropic material design, Mech. Res. Commun, vol.76, pp.64-71, 2016.

E. G. Mercuri, A. L. Daniel, M. B. Hecke, and L. Carvalho, Influence of different mechanical stimuli in a multi-scale mechanobiological isotropic model for bone remodelling, Med. Eng. Phys, vol.38, issue.9, pp.904-910, 2016.

T. E. Orr, G. S. Beaupré, D. R. Carter, and D. J. Schurman, Computer predictions of bone remodeling around porous-coated implants, J. Arthroplasty, vol.5, issue.3, pp.191-200, 1990.

P. J. Prendergast, R. Huiskes, and K. Søballe, Biophysical stimuli on cells during tissue differentiation at implant interfaces, J. Biomech, vol.30, issue.6, pp.539-548, 1997.

R. Huiskes, R. Ruimerman, G. H. Van-lenthe, and J. D. Janssen, Effects of mechanical forces on maintenance and adaptation of form in trabecular bone, Nature, vol.405, issue.6787, pp.704-706

R. Huiskes, H. Weinans, H. J. Grootenboer, M. Dalstra, B. Fudala et al., Adaptive bone-remodeling theory applied to prosthetic-design analysis, J. Biomech, vol.20, pp.1135-1150, 1987.

H. M. Frost, Perspectives: a proposed general model of the 'mechanostat' (suggestions from a new skeletal-biologic paradigm), Anat. Rec, vol.244, issue.2, pp.139-147, 1996.

C. Lerebours, P. R. Buenzli, S. Scheiner, and P. Pivonka, A multiscale mechanobiological model of bone remodelling predicts site-specific bone loss in the femur during osteoporosis and mechanical disuse, Biomech. Model. Mechanobiol, vol.15, issue.1, pp.43-67, 2016.

J. Kular, J. Tickner, S. M. Chim, and J. Xu, An overview of the regulation of bone remodelling at the cellular level, Clin. Biochem, vol.45, issue.12, pp.863-873, 2012.

D. P. Byrne, D. Lacroix, and P. J. Prendergast, Simulation of fracture healing in the tibia: mechanoregulation of cell activity using a lattice modeling approach, J. Orthop. Res, vol.29, issue.10, pp.1496-1503, 2011.

J. Gao, J. L. Williams, and E. Roan, Multiscale modeling of growth plate cartilage mechanobiology, Biomech. Model. Mechanobiol, pp.1-13, 2016.

X. Liu and G. L. Niebur, Bone ingrowth into a porous coated implant predicted by a mechano-regulatory tissue differentiation algorithm, Biomech. Model. Mechanobiol, vol.7, issue.4, pp.335-344, 2008.

S. Checa, P. J. Prendergast, and G. N. Duda, Inter-species investigation of the mechano-regulation of bone healing: comparison of secondary bone healing in sheep and rat, J. Biomech, vol.44, issue.7, pp.1237-1245, 2011.

P. T. Avval and H. Bougherara, Predicting bone remodeling in response to total hip arthroplasty : computational study using mechanobiochemical model, J. Biomech. Eng, vol.136, pp.1-12, 2014.

S. Komarova, R. J. Smith, S. J. Dixon, S. M. Sims, and L. M. Wahl, Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodeling, Bone, vol.33, pp.206-215, 2003.

G. S. Beaupré, T. E. Orr, and D. R. Carter, An approach for time-dependent bone modeling and remodeling-application: a preliminary remodeling simulation, J. Orthop. Res, vol.8, issue.5, pp.662-670, 1990.

N. Garijo, J. R. Fernández, M. A. Pérez, and J. M. , García-aznar , Numerical stability and convergence analysis of bone remodeling model, Comput. Methods Appl. Mech. Eng, vol.271, pp.253-268, 2014.

M. Doblaré and J. M. García, Anisotropic bone remodelling model based on a continuum damage-repair theory, J. Biomech, vol.35, issue.1, pp.1-17, 2002.

G. S. Beaupré, T. E. Orr, and D. R. Carter, An approach for time-dependent bone modeling and remodeling-theoretical development, J. Orthop. Res, issue.3, pp.651-661, 1990.

P. Christen, Bone remodelling in humans is load-driven but not lazy, Nat. Commun, vol.5, p.4855, 2014.

F. A. Schulte, Local mechanical stimuli regulate bone formation and resorption in mice at the tissue level, PLoS One, vol.8, issue.4, 2013.

C. L. Donaldson, S. B. Hulley, J. M. Vogel, R. S. Hattner, J. H. Bayers et al., Mcmillan , Effect of prolonged bed rest on bone mineral, Metabolism, vol.19, issue.12, pp.1071-1084, 1970.

P. Mack, P. Lachance, G. Vose, and F. Vogt, Bone demineralization of foot and hand of Gemini-Titan IV, V and VII astronauts during orbital flight, Am. J. Roentgenol. radium Ther. Nucl. mdeicine, vol.100, issue.3, pp.503-511, 1967.

B. L. Riggs, S. Khosla, and L. J. Melton, A unitary model for involutional osteoporosis: estrogen deficiency causes both type I and type II osteoporosis in postmenopausal women and contributes to bone loss in aging men, J. Bone Miner. Res, vol.13, issue.5, pp.763-773, 1998.

C. C. Huang, C. C. Jiang, C. H. Hsieh, C. J. Tsai, and H. Chiang, Local bone quality affects the outcome of prosthetic total knee arthroplasty, J. Orthop. Res, vol.34, issue.2, pp.240-248, 2016.

M. Croke, F. P. Ross, M. Korhonen, D. A. Williams, W. Zou et al., Rac deletion in osteoclasts causes severe osteopetrosis, J. Cell Sci, vol.124, issue.22, pp.3811-3821, 2011.

B. Clarke and S. Khosla, Physiology of bone loss, Radiol. Clin. North Am, vol.48, issue.3, pp.83-87, 2010.

J. Frame, P. Rohan, L. Corté, and R. Allena, A mechano-biological model of multi--tissue evolution in bone, Contin. Mech. Thermodyn, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02305865

T. J. Martin and E. Seeman, Bone remodelling: its local regulation and the emergence of bone fragility, Best Pract. Res. Clin. Endocrinol. Metab, vol.22, issue.5, pp.701-722, 2008.

Y. Bala, D. Farlay, P. D. Delmas, P. J. Meunier, and G. Boivin, Time sequence of secondary mineralization and microhardness in cortical and cancellous bone from ewes, Bone, vol.46, issue.4, pp.1204-1212, 2010.

J. Y. Rho, T. Y. Tsui, and G. M. Pharr, Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation, Biomaterials, vol.18, issue.20, pp.1325-1330, 1997.

H. H. Bayraktar, E. F. Morgan, G. L. Niebur, G. E. Morris, E. K. Wong et al.,

M. Keaveny, Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue, vol.37, pp.27-35, 2004.

K. Hasegawa, C. H. Turner, and D. B. Burr, Contribution of collagen and mineral to the elastic anisotropy of bone, Calcif. Tissue Int, vol.55, issue.5, pp.381-386, 1994.

J. Y. Rho, L. Kuhn-spearing, and P. Zioupos, Mechanical properties and the hierarchical structure of bone, Med. Eng. Phys, vol.20, issue.2, pp.92-102, 1998.

E. Eriksen, S. Hodgson, R. Eastell, S. Cedel, W. M. Fallon et al., Cancellous bone remodeling in type I (Postmenopausal) osteoporosis: quantitative assessment of rates of formation, resorption, and bone loss at tissue and cellular levels, J. bone Miner. Res, vol.5, issue.4, pp.311-319, 1990.