Computational simulation of fracture healing: influence of interfragmentary movement on the callus growth, J. Biomech, vol.40, issue.7, pp.1467-1476, 2007. ,
Modelling bone tissue fracture and healing: a review, Eng. Fract. Mech, vol.71, pp.1809-1840, 2004. ,
Mathematical Biology A coupled mechano-biochemical model for bone adaptation, Math. Biol, vol.69, pp.1383-1429, 2014. ,
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
Optimal internal architectures of femoral bone based on relaxation by homogenization and isotropic material design, Mech. Res. Commun, vol.76, pp.64-71, 2016. ,
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. ,
Computer predictions of bone remodeling around porous-coated implants, J. Arthroplasty, vol.5, issue.3, pp.191-200, 1990. ,
Biophysical stimuli on cells during tissue differentiation at implant interfaces, J. Biomech, vol.30, issue.6, pp.539-548, 1997. ,
Effects of mechanical forces on maintenance and adaptation of form in trabecular bone, Nature, vol.405, issue.6787, pp.704-706 ,
Adaptive bone-remodeling theory applied to prosthetic-design analysis, J. Biomech, vol.20, pp.1135-1150, 1987. ,
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. ,
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. ,
An overview of the regulation of bone remodelling at the cellular level, Clin. Biochem, vol.45, issue.12, pp.863-873, 2012. ,
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. ,
Multiscale modeling of growth plate cartilage mechanobiology, Biomech. Model. Mechanobiol, pp.1-13, 2016. ,
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. ,
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. ,
Predicting bone remodeling in response to total hip arthroplasty : computational study using mechanobiochemical model, J. Biomech. Eng, vol.136, pp.1-12, 2014. ,
Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodeling, Bone, vol.33, pp.206-215, 2003. ,
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. ,
García-aznar , Numerical stability and convergence analysis of bone remodeling model, Comput. Methods Appl. Mech. Eng, vol.271, pp.253-268, 2014. ,
Anisotropic bone remodelling model based on a continuum damage-repair theory, J. Biomech, vol.35, issue.1, pp.1-17, 2002. ,
An approach for time-dependent bone modeling and remodeling-theoretical development, J. Orthop. Res, issue.3, pp.651-661, 1990. ,
Bone remodelling in humans is load-driven but not lazy, Nat. Commun, vol.5, p.4855, 2014. ,
Local mechanical stimuli regulate bone formation and resorption in mice at the tissue level, PLoS One, vol.8, issue.4, 2013. ,
Mcmillan , Effect of prolonged bed rest on bone mineral, Metabolism, vol.19, issue.12, pp.1071-1084, 1970. ,
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. ,
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. ,
Local bone quality affects the outcome of prosthetic total knee arthroplasty, J. Orthop. Res, vol.34, issue.2, pp.240-248, 2016. ,
Rac deletion in osteoclasts causes severe osteopetrosis, J. Cell Sci, vol.124, issue.22, pp.3811-3821, 2011. ,
Physiology of bone loss, Radiol. Clin. North Am, vol.48, issue.3, pp.83-87, 2010. ,
A mechano-biological model of multi--tissue evolution in bone, Contin. Mech. Thermodyn, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-02305865
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. ,
Time sequence of secondary mineralization and microhardness in cortical and cancellous bone from ewes, Bone, vol.46, issue.4, pp.1204-1212, 2010. ,
Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation, Biomaterials, vol.18, issue.20, pp.1325-1330, 1997. ,
,
Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue, vol.37, pp.27-35, 2004. ,
Contribution of collagen and mineral to the elastic anisotropy of bone, Calcif. Tissue Int, vol.55, issue.5, pp.381-386, 1994. ,
Mechanical properties and the hierarchical structure of bone, Med. Eng. Phys, vol.20, issue.2, pp.92-102, 1998. ,
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. ,