T. Adachi and Y. Kameo, Trabecular bone remodelling simulation considering osteocytic response to fluid-induced shear stress, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.278, issue.11, pp.2669-2682, 1920.
DOI : 10.1016/S0021-9290(01)00107-5

T. Adachi and Y. Osako, Framework for optimal design of porous scaffold microstructure by computational simulation of bone regeneration, Biomaterials, vol.27, issue.21, pp.3964-3972, 2006.
DOI : 10.1016/j.biomaterials.2006.02.039

N. E. Ajubi and J. Klein-nulend, Signal transduction pathways involved in fluid flowinduced PGE2 production by cultured osteocytes, AJP -Endocrinology and Metabolism, vol.276, issue.1, pp.171-178, 1999.

J. Alexander and . Friedenstein, Precursor Cells of Mechanocytes, International Review of Cytology. J, vol.47, pp.327-359, 1976.

T. Alliston and L. Choy, TGF-beta-induced repression of CBFA1 by Smad3 decreases cbfa1 and osteocalcin expression and inhibits osteoblast differentiation, The EMBO Journal, vol.20, issue.9, pp.2254-2272, 2001.
DOI : 10.1093/emboj/20.9.2254

C. T. Anderson and A. B. Castillo, Primary Cilia: Cellular Sensors for the Skeleton The Anatomical Record: Advances in Integrative Anatomy and, Evolutionary Biology, vol.291, issue.9, pp.1074-1078, 2008.

G. Aschero and P. Gizdulich, Statistical characterization of piezoelectric coefficient d23 in cow bone, Journal of Biomechanics, vol.32, issue.6, pp.573-577, 1999.
DOI : 10.1016/S0021-9290(99)00021-4

G. Aschero and P. Gizdulich, Converse piezoelectric effect detected in fresh cow femur bone, Journal of Biomechanics, vol.29, issue.9, pp.1169-1174, 1996.
DOI : 10.1016/0021-9290(96)00011-5

B. A. Ashton and T. D. Allen, Formation of Bone and Cartilage by Marrow Stromal Cells in Diffusion Chambers in Vivo, Clinical Orthopaedics and Related Research, vol.&NA;, issue.151, pp.294-307, 1980.
DOI : 10.1097/00003086-198009000-00040

J. E. Aubin and E. Bonnelye, Osteoprotegerin and its Ligand: A New Paradigm for Regulation of Osteoclastogenesis and Bone Resorption, Osteoporosis International, vol.11, issue.11, pp.905-913, 2000.
DOI : 10.1007/s001980070028

J. L. Aubin, The osteoblast lineage, Principles of Bone Biology. R. L. Bilezikian J, Rodan G, 1996.

M. Bagge, A model of bone adaptation as an optimization process, Journal of Biomechanics, vol.33, issue.11, pp.1349-1357, 2000.
DOI : 10.1016/S0021-9290(00)00124-X

A. D. Bakker and K. Soejima, The production of nitric oxide and prostaglandin E2 by primary bone cells is shear stress dependent, Journal of Biomechanics, vol.34, issue.5, pp.671-677, 2001.
DOI : 10.1016/S0021-9290(00)00231-1

J. P. Barlet and N. Gaumet-meunier, Exercice physique, carence estrog??nique, monoxyde d'azote et remodelage osseux, Science & Sports, vol.14, issue.6, pp.292-300, 1999.
DOI : 10.1016/S0765-1597(00)86523-5

E. Bassett, Generation of Electric Potentials by Bone in Response to Mechanical Stress, Science, vol.137, issue.3535, pp.1063-1064, 1962.
DOI : 10.1126/science.137.3535.1063

S. Baste and R. Guerjouma, Mesure de l'endommagement anisotrope d'un composite c??ramique-c??ramique par une m??thode ultrasonore, Revue de Physique Appliqu??e, vol.24, issue.7, 1989.
DOI : 10.1051/rphysap:01989002407072100

H. H. Bayraktar and E. F. Morgan, Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue, Journal of Biomechanics, vol.37, issue.1, pp.27-35, 2004.
DOI : 10.1016/S0021-9290(03)00257-4

G. S. Beaupré and T. E. Orr, An approach for time-dependent bone modeling and remodeling-theoretical development, Journal of Orthopaedic Research, vol.21, issue.Suppl 2, pp.651-661, 1990.
DOI : 10.1002/jor.1100080506

T. Bellido and A. A. Ali, Chronic Elevation of Parathyroid Hormone in Mice Reduces Expression of Sclerostin by Osteocytes: A Novel Mechanism for Hormonal Control of Osteoblastogenesis, Endocrinology, vol.146, issue.11, pp.4577-4583, 2005.
DOI : 10.1210/en.2005-0239

J. R. Berger, Fabric tensor based boundary element analysis of porous solids, Engineering Analysis with Boundary Elements, vol.35, issue.3, pp.430-435, 2011.
DOI : 10.1016/j.enganabound.2010.09.008

G. Boivin and Y. Bala, The role of mineralization and organic matrix in the microhardness of bone tissue from controls and osteoporotic patients, Bone, vol.43, issue.3, pp.532-538, 2008.
DOI : 10.1016/j.bone.2008.05.024

L. F. Bonewald, Mechanosensation and transduction in osteocytes, BoneKEy-Osteovision, vol.3, issue.10, pp.7-15, 2006.
DOI : 10.1138/20060233

L. F. Bonewald, Osteocytes as Dynamic Multifunctional Cells, Annals of the New York Academy of Sciences, vol.1116, issue.1, pp.281-290, 2007.
DOI : 10.1196/annals.1402.018

L. F. Bonewald and S. L. Dallas, Role of active and latent transforming growth factor ?? in bone formation, Journal of Cellular Biochemistry, vol.157, issue.3, pp.350-357, 1994.
DOI : 10.1002/jcb.240550312

S. M. Bowman and X. E. Guo, Creep Contributes to the Fatigue Behavior of Bovine Trabecular Bone, Journal of Biomechanical Engineering, vol.120, issue.5, pp.647-654, 1998.
DOI : 10.1115/1.2834757

W. J. Boyle and W. S. Simonet, Osteoclast differentiation and activation, Nature, vol.34, issue.6937, pp.337-342, 2003.
DOI : 10.1007/s007740200049

M. L. Brandi and M. Hukkanen, Bidirectional regulation of osteoclast function by nitric oxide synthase isoforms., Proceedings of the National Academy of Sciences, vol.92, issue.7, pp.2954-2958, 1995.
DOI : 10.1073/pnas.92.7.2954

C. S. Brazel and N. A. Peppas, Dimensionless analysis of swelling of hydrophilic glassy polymers with subsequent drug release from relaxing structures, Biomaterials, vol.20, issue.8, pp.721-732, 1999.
DOI : 10.1016/S0142-9612(98)00215-4

D. Briançon and J. De-gaudemar, Management of osteoporosis in women with peripheral osteoporotic fractures after 50 years of age: a study of practices, Joint Bone Spine, vol.71, issue.2, pp.128-130, 2004.
DOI : 10.1016/S1297-319X(03)00060-5

J. D. Bryant, The effect of impact on the marrow pressure of long bones in vitro, Journal of Biomechanics, vol.16, issue.8, pp.659-665, 1983.
DOI : 10.1016/0021-9290(83)90117-3

J. D. Bryant, On the Mechanical Function of Marrow in Long Bones, Engineering in Medicine, vol.4, issue.2, 1988.
DOI : 10.1243/EMED_JOUR_1988_017_017_02

E. H. Burger and J. Klein-nulend, Mechanotransduction in bone?role of the lacunocanalicular network, FASEB J, vol.13, issue.9001, pp.101-112, 1999.

E. L. Cadore and M. A. Brentano, Efeitos da atividade f??sica na densidade mineral ??ssea e na remodela????o do tecido ??sseo, Revista Brasileira de Medicina do Esporte, vol.11, issue.6, pp.373-379, 2005.
DOI : 10.1590/S1517-86922005000600013

D. R. Carter and T. E. Orr, Relationships between loading history and femoral cancellous bone architecture, Journal of Biomechanics, vol.22, issue.3, pp.231-244, 1989.
DOI : 10.1016/0021-9290(89)90091-2

J. Chaboche, Continuous damage mechanics ??? A tool to describe phenomena before crack initiation, Nuclear Engineering and Design, vol.64, issue.2, pp.233-247, 1981.
DOI : 10.1016/0029-5493(81)90007-8

D. Chappard and L. Vico, Relations entre l'activit?? physique, la masse osseuse et les activit??s cellulaires osseuses dans une population d'hommes sains ??g??s, Science & Sports, vol.1, issue.2, pp.151-160, 1986.
DOI : 10.1016/S0765-1597(86)80031-4

A. H. Cheng and E. Detournay, On singular integral equations and fundamental solutions of poroelasticity, International Journal of Solids and Structures, vol.35, issue.34-35, pp.34-35, 1998.
DOI : 10.1016/S0020-7683(98)00082-1

J. W. Chow and S. Fox, Role for parathyroid hormone in mechanical responsiveness of rat bone, Am J Physiol Endocrinol Metab, vol.274, issue.1, pp.146-154, 1998.

E. Coatanéa, J. Vareille, and K. M. , Applying dimensionless indicators for the analysis of multiple constraints and compound objectives in conceptual design, 5th Euromech Solid Mechanics Conference, 2003.

P. G. Coelho and P. R. Fernandes, Numerical modeling of bone tissue adaptation???A hierarchical approach for bone apparent density and trabecular structure, Journal of Biomechanics, vol.42, issue.7, pp.830-837, 2009.
DOI : 10.1016/j.jbiomech.2009.01.020

P. Collin-osdoby and L. Rothe, Receptor Activator of NF-??B and Osteoprotegerin Expression by Human Microvascular Endothelial Cells, Regulation by Inflammatory Cytokines, and Role in Human Osteoclastogenesis, Journal of Biological Chemistry, vol.276, issue.23, pp.20659-20672, 2001.
DOI : 10.1074/jbc.M010153200

J. Compston, Bone marrow and bone: a functional unit, Journal of Endocrinology, vol.173, issue.3, pp.387-394, 2002.
DOI : 10.1677/joe.0.1730387

C. M. Court-brown and B. Caesar, Epidemiology of adult fractures: A review, Injury, vol.37, issue.8, pp.691-697, 2006.
DOI : 10.1016/j.injury.2006.04.130

S. Cowin, The significance of bone microstructure in mechanotransduction, Journal of Biomechanics, vol.40, pp.105-109, 2007.
DOI : 10.1016/j.jbiomech.2007.02.012

S. C. Cowin, Bone poroelasticity, Journal of Biomechanics, vol.32, issue.3, pp.217-238, 1999.
DOI : 10.1016/S0021-9290(98)00161-4

S. C. Cowin and . Ed, Bone Mechanics Handbook, 2001.
DOI : 10.1115/1.1579463

S. C. Cowin and S. B. Doty, Tissue Mechanics, 2007.
DOI : 10.1007/978-0-387-49985-7

S. C. Cowin and D. H. Hegedus, Bone remodeling I: theory of adaptive elasticity, Journal of Elasticity, vol.44, issue.3, pp.313-326, 1976.
DOI : 10.1007/BF00041724

S. C. Cowin and S. Weinbaum, A case for bone canaliculi as the anatomical site of strain generated potentials, Journal of Biomechanics, vol.28, issue.11, pp.1281-1297, 1995.
DOI : 10.1016/0021-9290(95)00058-P

J. M. Crolet and M. Racila, Collagen fibres effect on the mechanical properties of cortical bone. A numerical approach, Computer Methods in Biomechanics and Biomedical Engineering, vol.11, issue.sup001, pp.69-71, 2008.
DOI : 10.1016/S1350-4533(98)00007-1
URL : https://hal.archives-ouvertes.fr/hal-00484748

J. M. Crolet and M. C. Stroe, Decreasing of mechanotransduction process with age, Computer Methods in Biomechanics and Biomedical Engineering, vol.13, issue.sup1, pp.43-44, 2010.
DOI : 10.1080/10255840701695140

A. Devulder and D. Aubry, EFFECT OF AGE ON LOCAL MECHANICAL PROPERTIES OF HAVERSIAN CORTICAL BONE, Journal of Biomechanics, vol.41, issue.0, p.494, 2008.
DOI : 10.1016/S0021-9290(08)70493-7

M. Doblaré and J. M. García, Anisotropic bone remodelling model based on a continuum damage-repair theory, Journal of Biomechanics, vol.35, issue.1, pp.1-17, 2002.
DOI : 10.1016/S0021-9290(01)00178-6

L. Dominguez and G. D. Bella, Physiology of the aging bone and mechanisms of action of bisphosphonates, Biogerontology, vol.95, issue.5, pp.397-408, 2011.
DOI : 10.1007/s10522-011-9344-5

S. S. Dong and J. P. Williams, Nitric oxide regulation of cGMP production in osteoclasts, Journal of Cellular Biochemistry, vol.169, issue.4, pp.478-487, 1999.
DOI : 10.1002/(SICI)1097-4644(19990615)73:4<478::AID-JCB6>3.0.CO;2-T

L. Duchemin and V. Bousson, Prediction of mechanical properties of cortical bone by quantitative computed tomography, Medical Engineering & Physics, vol.30, issue.3, pp.321-328, 2008.
DOI : 10.1016/j.medengphy.2007.04.008

E. Orías, A. A. , and J. M. Deuerling, Anatomic variation in the elastic anisotropy of cortical bone tissue in the human femur, Journal of the Mechanical Behavior of Biomedical Materials, vol.2, issue.3, pp.255-263, 2009.
DOI : 10.1016/j.jmbbm.2008.08.005

B. Fermor and T. M. Skerry, PTH/PTHrP receptor expression on osteoblasts and osteocytes but not resorbing bone surfaces in growing rats, Journal of Bone and Mineral Research, vol.9, issue.S1, pp.1935-1943, 1995.
DOI : 10.1002/jbmr.5650101213

E. Filvaroff and R. Derynck, Bone remodelling: A signalling system for osteoclast regulation, Current Biology, vol.8, issue.19, pp.679-682, 1998.
DOI : 10.1016/S0960-9822(98)70434-8

A. Flanagan and T. Chambers, Stimulation of bone nodule formation in vitro by prostaglandins E1 and E2, Endocrinology, vol.130, issue.1, pp.443-448, 1992.

K. K. Frick and K. Laplante, RANK ligand and TNF-?? mediate acid-induced bone calcium efflux in vitro, AJP: Renal Physiology, vol.289, issue.5, pp.1005-1011, 2005.
DOI : 10.1152/ajprenal.00420.2004

H. M. Frost, The bone dynamics in osteoporosis and osteomalacia, 1966.

H. M. Frost, Tetracycline-based histological analysis of bone remodeling, Calcified Tissue Research, vol.69, issue.1, pp.211-237, 1969.
DOI : 10.1007/BF02058664

H. M. Frost, The mechanostat: a proposed pathogenic mechanism of osteoporoses and the bone mass effects of mechanical and nonmechanical agents, Bone Miner, vol.2, issue.2, pp.73-85, 1987.

H. M. Frost, The Utah paradigm of skeletal physiology: an overview of its insights for bone, cartilage and collagenous tissue organs, Journal of Bone and Mineral Metabolism, vol.18, issue.6, pp.305-316, 2000.
DOI : 10.1007/s007740070001

E. Fukada and H. Ueda, Piezoelectric and related properties of hydrated collagen, Biophysical Journal, vol.16, issue.8, pp.911-918, 1976.
DOI : 10.1016/S0006-3495(76)85741-4

T. Funck-brentano and M. Cohen, Remodelage osseux et traitements diur??tiques, Revue du Rhumatisme Monographies, vol.78, issue.2, pp.124-128, 2011.
DOI : 10.1016/j.monrhu.2011.01.004

G. Galileo, Discorsi e Dimonstrazioni Matematiche, intorno à due nuove scienze attenenti alla Mecanica & i Movimenti Locali, Elzevir, 1638.

J. M. García-aznar and T. Rueberg, A bone remodelling model coupling microdamage growth and repair by 3D BMU-activity, Biomechanics and Modeling in Mechanobiology, vol.21, issue.2, pp.147-167, 2005.
DOI : 10.1007/s10237-005-0067-x

W. T. George and D. Vashishth, Susceptibility of aging human bone to mixed-mode fracture increases bone fragility, Bone, vol.38, issue.1, pp.105-111, 2006.
DOI : 10.1016/j.bone.2005.08.002

F. A. Gerhard and D. J. Webster, In silico biology of bone modelling and remodelling: adaptation, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.32, issue.7, pp.2011-2030, 1895.
DOI : 10.1016/S0021-9290(99)00033-0

F. G. Giancotti, Complexity and specificity of integrin signalling, Nature Cell Biology, vol.2, issue.1, pp.13-14, 2000.
DOI : 10.1038/71397

P. A. Gizdulich and G. , Day-to-day trend of dielectric properties of bones, Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Societ, pp.28-31, 1993.
DOI : 10.1109/IEMBS.1993.979051

A. R. Gohel and A. R. Hand, Immunogold localization of beta 1-integrin in bone: effect of glucocorticoids and insulin-like growth factor I on integrins and osteocyte formation., Journal of Histochemistry & Cytochemistry, vol.43, issue.11, pp.1085-1096, 1995.
DOI : 10.1177/43.11.7560891

D. Goltzman, Interactions of PTH and PTHrP with the PTH/PTHrP Receptor and with Downstream Signaling Pathways: Exceptions That Provide the Rules, Journal of Bone and Mineral Research, vol.16, issue.2, pp.173-177, 1999.
DOI : 10.1359/jbmr.1999.14.2.173

W. G. Goodman and J. D. Veldhuis, Calcium-Sensing by Parathyroid Glands in Secondary Hyperparathyroidism, Journal of Clinical Endocrinology & Metabolism, vol.83, issue.8, pp.2765-2772, 1998.
DOI : 10.1210/jc.83.8.2765

G. C. Goulet and D. M. Cooper, Influence of cortical canal architecture on lacunocanalicular pore pressure and fluid flow, Computer Methods in Biomechanics and Biomedical Engineering, vol.27, issue.4, pp.379-387, 2008.
DOI : 10.1115/1.2834881

S. Goutelle and M. Maurin, The Hill equation: a review of its capabilities in pharmacological modelling, Fundamental & Clinical Pharmacology, vol.27, issue.Pt 2, pp.633-648, 2008.
DOI : 10.1111/j.1472-8206.2008.00633.x
URL : https://hal.archives-ouvertes.fr/hal-00428253

E. M. Greenfield and Y. Bi, Regulation of osteoclast activity, Life Sciences, vol.65, issue.11, pp.1087-1102, 1999.
DOI : 10.1016/S0024-3205(99)00156-3

R. M. Guedes and J. A. Simões, Viscoelastic behaviour and failure of bovine cancellous bone under constant strain rate, Journal of Biomechanics, vol.39, issue.1, pp.49-60, 2006.
DOI : 10.1016/j.jbiomech.2004.11.005

T. Günther and T. Schinke, Mouse Genetics Have Uncovered New Paradigms in Bone Biology, Trends in Endocrinology & Metabolism, vol.11, issue.5, pp.189-193, 2000.
DOI : 10.1016/S1043-2760(00)00256-3

X. E. Guo and E. Takai, Intracellular calcium waves in bone cell networks under single cell nanoindentation, Mol Cell Biomech, vol.3, issue.3, pp.95-107, 2006.

S. Gururaja and H. J. Kim, Modeling Deformation-Induced Fluid Flow in Cortical Bone?s Canalicular?Lacunar System, Annals of Biomedical Engineering, vol.35, issue.1, pp.7-25, 2005.
DOI : 10.1007/s10439-005-8959-6

S. T. Haden and E. M. Brown, The effects of age and gender on parathyroid hormone dynamics, Clinical Endocrinology, vol.8, issue.Suppl. 1, pp.329-338, 2000.
DOI : 10.1046/j.1365-2265.2000.00912.x

R. Hambli and H. Katerchi, Multiscale methodology for bone remodelling simulation using coupled finite element and neural network computation, Biomechanics and Modeling in Mechanobiology, vol.39, issue.21???22, 2010.
DOI : 10.1007/s10237-010-0222-x
URL : https://hal.archives-ouvertes.fr/hal-01087589

R. Hambli and R. Rieger, Physiologically based mathematical model of transduction of mechanobiological signals by osteocytes, Biomechanics and Modeling in Mechanobiology, vol.278, issue.2, pp.1-11, 2011.
DOI : 10.1007/s10237-011-0294-2
URL : https://hal.archives-ouvertes.fr/hal-00788736

R. Hambli and D. Soulat, Strain?damage coupled algorithm for cancellous bone mechanoregulation with spatial function influence, Computer Methods in Applied Mechanics and Engineering, vol.198, pp.33-36, 2009.

Y. Han and S. C. Cowin, Mechanotransduction and strain amplification in osteocyte cell processes, Proceedings of the National Academy of Sciences, vol.101, issue.47, pp.16689-16694, 2004.
DOI : 10.1073/pnas.0407429101

Z. H. Han and S. Palnitkar, Effect of ethnicity and age or menopause on the structure and geometry of iliac bone, Journal of Bone and Mineral Research, vol.1, issue.1, pp.1967-1975, 1996.
DOI : 10.1002/jbmr.5650111219

S. Hazelwood and R. B. Martin, A mechanistic model for internal bone remodeling exhibits different dynamic responses in disuse and overload, Journal of Biomechanics, vol.34, issue.3, pp.299-308, 2001.
DOI : 10.1016/S0021-9290(00)00221-9

J. N. Heersche and C. G. Bellows, The decrease in bone mass associated with aging and menopause, The Journal of Prosthetic Dentistry, vol.79, issue.1, pp.14-16, 1998.
DOI : 10.1016/S0022-3913(98)70187-8

D. H. Hegedus and S. C. Cowin, Bone remodeling II: small strain adaptive elasticity, Journal of Elasticity, vol.39, issue.4, pp.337-352, 1976.
DOI : 10.1007/BF00040896

C. J. Hernandez and G. S. Beaupré, A model of mechanobiologic and metabolic influences on bone adaptation, 2000.

C. J. Hernandez and G. S. Beaupré, A theoretical analysis of the changes in basic multicellular unit activity at menopause??????Presented in part as a poster at the 23rd Annual Meeting of the American Society of Bone and Mineral Research, October 12-16, 2001, Phoenix, AZ, USA., Bone, vol.32, issue.4, pp.357-363, 2003.
DOI : 10.1016/S8756-3282(03)00037-1

C. J. Hernandez and G. S. Beaupré, The influence of bone volume fraction and ash fraction on bone strength and modulus, Bone, vol.29, issue.1, pp.74-78, 2001.
DOI : 10.1016/S8756-3282(01)00467-7

T. Hoc and L. Henry, Effect of microstructure on the mechanical properties of Haversian cortical bone, Bone, vol.38, issue.4, pp.466-474, 2006.
DOI : 10.1016/j.bone.2005.09.017
URL : https://hal.archives-ouvertes.fr/hal-00133264

L. C. Hofbauer and S. Khosla, The Roles of Osteoprotegerin and Osteoprotegerin Ligand in the Paracrine Regulation of Bone Resorption, Journal of Bone and Mineral Research, vol.23, issue.Suppl 1, pp.2-12, 2000.
DOI : 10.1359/jbmr.2000.15.1.2

C. E. Hoffler and K. E. Moore, Heterogeneity of bone lamellar-level elastic moduli, Bone, vol.26, issue.6, pp.603-609, 2000.
DOI : 10.1016/S8756-3282(00)00268-4

S. J. Hollister and D. P. Fyhrie, Application of homogenization theory to the study of trabecular bone mechanics, Journal of Biomechanics, vol.24, issue.9, pp.825-839, 1991.
DOI : 10.1016/0021-9290(91)90308-A

S. J. Hollister and N. Kikuchi, Homogenization theory and digital imaging: A basis for studying the mechanics and design principles of bone tissue, Biotechnology and Bioengineering, vol.36, issue.7, pp.586-596, 1994.
DOI : 10.1002/bit.260430708

J. Homminga and B. R. Mccreadie, Cancellous bone mechanical properties from normals and patients with hip fractures differ on the structure level, not on the bone hard tissue level, Bone, vol.30, issue.5, pp.759-764, 2002.
DOI : 10.1016/S8756-3282(02)00693-2

P. Houillier, Le r??cepteur du calcium??: un r??le central dans le m??tabolisme calcique, M??decine Nucl??aire, vol.33, issue.1, pp.39-45, 2009.
DOI : 10.1016/j.mednuc.2008.10.007

J. C. Huang and T. Sakata, PTH Differentially Regulates Expression of RANKL and OPG, Journal of Bone and Mineral Research, vol.173, issue.2, pp.235-244, 2004.
DOI : 10.1359/JBMR.0301226

R. Huiskes and R. Ruimerman, Effects of mechanical forces on maintenance and adaptation of form in trabecular bone, Nature, vol.405, issue.6787, pp.704-706, 2000.
DOI : 10.1038/35015116

R. Huiskes and H. Weinans, Adaptive bone-remodeling theory applied to prosthetic-design analysis, Journal of Biomechanics, vol.20, issue.11-12, pp.11-12, 1987.
DOI : 10.1016/0021-9290(87)90030-3

R. O. Hynes, Integrins, Cell, vol.110, issue.6, pp.673-687, 2002.
DOI : 10.1016/S0092-8674(02)00971-6

A. Inoue and Y. Hiruma, Reciprocal Regulation by Cyclic Nucleotides of the Differentiation of Rat Osteoblast-like Cells and Mineralization of Nodules, Biochemical and Biophysical Research Communications, vol.215, issue.3, pp.1104-1110, 1995.
DOI : 10.1006/bbrc.1995.2577

H. Isaksson and M. Malkiewicz, Rabbit cortical bone tissue increases its elastic stiffness but becomes less viscoelastic with age, Bone, vol.47, issue.6, pp.1030-1038, 2010.
DOI : 10.1016/j.bone.2010.08.015

T. Iyo and Y. Maki, Anisotropic viscoelastic properties of cortical bone, Journal of Biomechanics, vol.37, issue.9, pp.1433-1437, 2004.
DOI : 10.1016/j.jbiomech.2003.12.023

M. J. Jaasma and F. J. O-'brien, Mechanical Stimulation of Osteoblasts Using Steady and Dynamic Fluid Flow, Tissue Engineering Part A, vol.14, issue.7, pp.1213-1223, 2008.
DOI : 10.1089/ten.tea.2007.0321

C. Jacobs, Numerical simulation of bone adaptation to mechanical loading, Mechanical Engineering, 1994.

C. R. Jacobs, The mechanobiology of cancellous bone structural adaptation, J Rehabil Res Dev, vol.37, issue.2, pp.209-216

I. G. Jang and I. Y. Kim, Computational study of Wolff's law with trabecular architecture in the human proximal femur using topology optimization, Journal of Biomechanics, vol.41, issue.11, pp.2353-2361, 2008.
DOI : 10.1016/j.jbiomech.2008.05.037

I. G. Jang and I. Y. Kim, Computational simulation of simultaneous cortical and trabecular bone change in human proximal femur during bone remodeling, Journal of Biomechanics, vol.43, issue.2, pp.294-301, 2010.
DOI : 10.1016/j.jbiomech.2009.08.012

I. G. Jang and I. Y. Kim, Analogy of Strain Energy Density Based Bone-Remodeling Algorithm and Structural Topology Optimization, Journal of Biomechanical Engineering, vol.131, issue.1, p.11012, 2009.
DOI : 10.1115/1.3005202

P. Jayakumar and L. D. Silvio, Osteoblasts in bone tissue engineering, Proceedings of the Institution of Mechanical Engineers, pp.1415-1440, 2010.
DOI : 10.1243/09544119JEIM821

R. L. Jilka and R. S. Weinstein, Increased bone formation by prevention of osteoblast apoptosis with parathyroid hormone, Journal of Clinical Investigation, vol.104, issue.4, pp.439-446, 1999.
DOI : 10.1172/JCI6610

W. Joo and K. J. Jepsen, The effect of recovery time and test conditions on viscoelastic measures of tensile damage in cortical bone, Journal of Biomechanics, vol.40, issue.12, pp.2731-2737, 2007.
DOI : 10.1016/j.jbiomech.2007.01.005

H. Kaneki and I. Takasugi, Prostaglandin E2 stimulates the formation of mineralized bone nodules by a cAMP-independent mechanism in the culture of adult rat calvarial osteoblasts, Journal of Cellular Biochemistry, vol.261, issue.1, pp.36-48, 1999.
DOI : 10.1002/(SICI)1097-4644(19990401)73:1<36::AID-JCB5>3.0.CO;2-F

K. Kobayashi and N. Takahashi, Tumor Necrosis Factor ?? Stimulates Osteoclast Differentiation by a Mechanism Independent of the Odf/Rankl-Rank Interaction, Journal of Experimental Medicine, vol.99, issue.7, pp.275-286, 2000.
DOI : 10.1359/jbmr.1999.14.9.1478

A. Kölliker, Die normale Resorption des Knochengewebes und ihre Bedeutung für die Entstehung der typischen Knochenformen, 1873.

S. Komarova, Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodeling, Bone, vol.33, issue.2, pp.206-215, 2003.
DOI : 10.1016/S8756-3282(03)00157-1

S. V. Komarova, Mathematical Model of Paracrine Interactions between Osteoclasts and Osteoblasts Predicts Anabolic Action of Parathyroid Hormone on Bone, Endocrinology, vol.146, issue.8, pp.3589-3595, 2005.
DOI : 10.1210/en.2004-1642

V. Kosmopoulos and C. Schizas, Modeling the onset and propagation of trabecular bone microdamage during low-cycle fatigue, Journal of Biomechanics, vol.41, issue.3, pp.515-522, 2008.
DOI : 10.1016/j.jbiomech.2007.10.020

S. Kousteni and J. Bilezikian, The cell biology of parathyroid hormone in osteoblasts, Current Osteoporosis Reports, vol.40, issue.2, pp.72-76, 2008.
DOI : 10.1007/s11914-008-0013-9

P. Kowalczyk, Elastic properties of cancellous bone derived from finite element models of parameterized microstructure cells, Journal of Biomechanics, vol.36, issue.7, pp.961-972, 2003.
DOI : 10.1016/S0021-9290(03)00065-4

M. Kroll, Parathyroid Hormone Temporal Effects on Bone Formation and Resorption, Bulletin of Mathematical Biology, vol.62, issue.1, pp.163-188, 2000.
DOI : 10.1006/bulm.1999.0146

M. S. Kulkarni and S. R. , Experimental determination of material properties of cortical cadeveric femur bone, Trends in Biomaterials and Artificial Organs, vol.22, issue.1, pp.9-15, 2008.

M. C. Langub and M. C. Monier-faugere, Parathyroid Hormone/Parathyroid Hormone-Related Peptide Type 1 Receptor in Human Bone, Journal of Bone and Mineral Research, vol.25, issue.4 Pt 1, pp.448-456, 2001.
DOI : 10.1359/jbmr.2001.16.3.448

L. Corroller, T. , and J. Halgrin, Combination of texture analysis and bone mineral density improves the prediction of fracture load in human femurs, Osteoporosis International, vol.78, issue.2, pp.1-7, 2011.
DOI : 10.1007/s00198-011-1703-1
URL : https://hal.archives-ouvertes.fr/hal-01438694

K. Lee and J. D. Deeds, In situ localization of PTH/PTHrP receptor mRNA in the bone of fetal and young rats, Bone, vol.14, issue.3, pp.341-345, 1993.
DOI : 10.1016/8756-3282(93)90162-4

T. Lemaire and S. Naïli, Multiscale analysis of the coupled effects governing the movement of interstitial fluid in cortical bone, Biomechanics and Modeling in Mechanobiology, vol.35, issue.34-35, pp.39-52, 2005.
DOI : 10.1007/s10237-005-0009-7
URL : https://hal.archives-ouvertes.fr/hal-00738454

V. Lemaire and F. L. Tobin, Modeling the interactions between osteoblast and osteoclast activities in bone remodeling, Journal of Theoretical Biology, vol.229, issue.3, pp.293-309, 2004.
DOI : 10.1016/j.jtbi.2004.03.023

J. Lemaitre and J. Chaboche, Mécanique des matériaux solides, pp.343-442, 1985.

P. Levy and E. Levy, The cost of osteoporosis in men: the French situation, Bone, vol.30, issue.4, pp.631-636, 2002.
DOI : 10.1016/S8756-3282(01)00708-6

M. Liebschner and W. M. , Optimization of Bone Scaffold Engineering for Load Bearing Applications, Topics in Tissue Engineering. N. A. P. Ferretti, 2003.

X. S. Liu and X. H. Zhang, Contributions of trabecular rods of various orientations in determining the elastic properties of human vertebral trabecular bone, Bone, vol.45, issue.2, pp.158-163, 2009.
DOI : 10.1016/j.bone.2009.04.201

J. Macione and N. B. Kavukcuoglu, Hierarchies of damage induced loss of mechanical properties in calcified bone after in vivo fatigue loading of rat ulnae, Journal of the Mechanical Behavior of Biomedical Materials, vol.4, issue.6, pp.841-848, 2011.
DOI : 10.1016/j.jmbbm.2011.03.010

E. J. Mackie, Osteoblasts: novel roles in orchestration of skeletal architecture, The International Journal of Biochemistry & Cell Biology, vol.35, issue.9, pp.1301-1305, 2003.
DOI : 10.1016/S1357-2725(03)00107-9

C. Magnier and S. Wendling-mansuy, Mod??le de remodelage osseux au sein du tissu trab??culaire sous-contraint, Comptes Rendus M??canique, vol.335, issue.1, pp.48-55, 2007.
DOI : 10.1016/j.crme.2006.11.006

L. Maïmoun and C. Sultan, Effects of physical activity on bone remodeling, Metabolism, vol.60, issue.3, pp.373-388, 2011.
DOI : 10.1016/j.metabol.2010.03.001

S. B. Maldonado, S. Findeisen, and F. Allgöwer, Mathematical Modeling and Analysis of Force Induced Bone Growth, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society, pp.3154-3160, 2006.
DOI : 10.1109/IEMBS.2006.260532

A. M. Malone and C. T. Anderson, Primary cilia mediate mechanosensing in bone cells by a calcium-independent mechanism, Proceedings of the National Academy of Sciences, vol.104, issue.33, pp.13325-13330, 2007.
DOI : 10.1073/pnas.0700636104

P. Manfredini and G. Cocchetti, Poroelastic finite element analysis of a bone specimen under cyclic loading, Journal of Biomechanics, vol.32, issue.2, pp.135-144, 1999.
DOI : 10.1016/S0021-9290(98)00162-6

M. Maravic and P. Taupin, Poids des fractures proximales de hanche chez la femme en France entre, Revue du Rhumatisme, vol.74, pp.10-11, 2002.

B. C. Marcon and -. D. , Analyse du comportement mécanique d'un os ostéoporotique à partir d'images scanner, 18ème Congrès Français de Mécanique Grenoble, pp.27-31, 2007.

B. R. Martin, Porosity and specific surface of bone, 1984.

B. R. Martin, A theory of fatigue damage accumulation and repair in cortical bone, Journal of Orthopaedic Research, vol.98, issue.6, pp.818-825, 1992.
DOI : 10.1002/jor.1100100611

B. R. Martin, Fatigue Damage, Remodeling, and the Minimization of Skeletal Weight, Journal of Theoretical Biology, vol.220, issue.2, pp.271-276, 2003.
DOI : 10.1006/jtbi.2003.3148

M. J. Martin and J. C. Buckland-wright, Sensitivity analysis of a novel mathematical model identifies factors determining bone resorption rates, Bone, vol.35, issue.4, pp.918-928, 2004.
DOI : 10.1016/j.bone.2004.06.010

Y. Matsuura and S. Oharu, Mathematical approaches to bone reformation phenomena and numerical simulations, Journal of Computational and Applied Mathematics, vol.158, issue.1, pp.107-119, 2003.
DOI : 10.1016/S0377-0427(03)00470-9

Y. Matsuura and S. Oharu, On a Class of Reaction-Diffusion Systems Describing Bone Remodelling Phenomena, Nihonkai mathematical journal, vol.13, issue.1, pp.17-32, 2002.

L. Mcnamara and P. Prendergast, Bone remodelling algorithms incorporating both strain and microdamage stimuli, Journal of Biomechanics, vol.40, issue.6, pp.1381-1391, 2007.
DOI : 10.1016/j.jbiomech.2006.05.007

B. Miara and E. Rohan, Piezomaterials for bone regeneration design???homogenization approach, Journal of the Mechanics and Physics of Solids, vol.53, issue.11, pp.2529-2556, 2005.
DOI : 10.1016/j.jmps.2005.05.006

M. C. Michel and X. E. Guo, Compressive fatigue behavior of bovine trabecular bone, Journal of Biomechanics, vol.26, issue.4-5, pp.4-5, 1993.
DOI : 10.1016/0021-9290(93)90009-4

L. Michou and J. P. Brown, G??n??tique des maladies osseuses, Revue du Rhumatisme Monographies, vol.77, issue.4, pp.314-320, 2010.
DOI : 10.1016/j.monrhu.2010.04.022

A. Moroz and M. Crane, Phenomenological model of bone remodeling cycle containing osteocyte regulation loop, Biosystems, vol.84, issue.3, pp.183-190, 2006.
DOI : 10.1016/j.biosystems.2005.11.002

M. Mullender and B. Van-rietbergen, Effect of Mechanical Set Point of Bone Cells on Mechanical Control of Trabecular Bone Architecture, Bone, vol.22, issue.2, pp.125-131, 1998.
DOI : 10.1016/S8756-3282(97)00251-2

M. G. Mullender and R. Huiskes, Osteocytes and bone lining cells: Which are the best candidates for mechano-sensors in cancellous bone?, Bone, vol.20, issue.6, pp.527-532, 1997.
DOI : 10.1016/S8756-3282(97)00036-7

R. Müller, Long-term prediction of three-dimensional bone architecture in simulations of pre-, peri- and post-menopausal microstructural bone remodeling, Osteoporosis International, vol.17, issue.S02, pp.25-35, 2005.
DOI : 10.1007/s00198-004-1701-7

G. Mundy, Cytokines and bone remodeling, Journal of Bone and Mineral Metabolism, vol.242, issue.2, pp.34-38, 1991.
DOI : 10.1007/BF02377983

S. Nagaraja and T. L. Couse, Trabecular bone microdamage and microstructural stresses under uniaxial compression, Journal of Biomechanics, vol.38, issue.4, pp.707-716, 2005.
DOI : 10.1016/j.jbiomech.2004.05.013

N. Takahashi, N. U. , M. Takami, T. Martin, T. Suda et al., Osteoclast Generation, Principles of Bone Biology, vol.30, pp.175-192, 2008.
DOI : 10.1016/B978-0-12-373884-4.00029-X

D. Nelson and M. Megyesi, Sex and ethnic differences in bone architecture, Current Osteoporosis Reports, vol.45, issue.Suppl 2, pp.65-69, 2004.
DOI : 10.1007/s11914-004-0006-2

G. L. Niebur and M. J. Feldstein, High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone, Journal of Biomechanics, vol.33, issue.12, pp.1575-1583, 2000.
DOI : 10.1016/S0021-9290(00)00149-4

P. J. Nijweide and E. H. Burger, Cells of bone: proliferation, differentiation, and hormonal regulation, Physiological Reviews, vol.66, issue.4, pp.855-886, 1986.

J. L. Nowinski and C. F. Davis, A model of the human skull as a poroelastic spherical shell subjected to a quasistatic load, Mathematical Biosciences, vol.8, issue.3-4, pp.3-4, 1970.
DOI : 10.1016/0025-5564(70)90120-3

J. L. Nowinski and C. F. Davis, Propagation of Longitudinal Waves in Circularly Cylindrical Bone Elements, Journal of Applied Mechanics, vol.38, issue.3, pp.578-584, 1971.
DOI : 10.1115/1.3408855

J. S. Nyman and M. Reyes, Effect of ultrastructural changes on the toughness of bone, Micron, vol.36, issue.7-8, pp.566-582, 2005.
DOI : 10.1016/j.micron.2005.07.004

J. S. Nyman and O. C. Yeh, A theoretical analysis of long-term bisphosphonate effects on trabecular bone volume and microdamage, Bone, vol.35, issue.1, pp.296-305, 2004.
DOI : 10.1016/j.bone.2004.03.007

A. Odgaard and J. Kabel, Fabric and elastic principal directions of cancellous bone are closely related, Journal of Biomechanics, vol.30, issue.5, pp.487-495, 1997.
DOI : 10.1016/S0021-9290(96)00177-7

D. Oesterhelt, The Signal Transduction Cascade, 2010.

C. A. Pattin and W. E. Caler, Cyclic mechanical property degradation during fatigue loading of cortical bone, Journal of Biomechanics, vol.29, issue.1, pp.69-79, 1996.
DOI : 10.1016/0021-9290(94)00156-1

F. Pauwels, Biomechanics of the Locomotor Apparatus, Contributions on the Functional Anatomy of the Locomotor Apparatus, Journal of Biomechanical Engineering, vol.104, issue.4, 1980.
DOI : 10.1115/1.3138372

C. L. Penninger and N. M. Patel, A fully anisotropic hierarchical hybrid cellular automaton algorithm to simulate bone remodeling, Mechanics Research Communications, vol.35, issue.1-2, pp.32-42, 2007.
DOI : 10.1016/j.mechrescom.2007.10.007

M. C. Peterson and M. M. Riggs, A physiologically based mathematical model of integrated calcium homeostasis and bone remodeling, Bone, vol.46, issue.1, pp.49-63, 2010.
DOI : 10.1016/j.bone.2009.08.053

B. H. Pfeiffer, A model to estimate the piezoelectric polarization in the osteon system, Journal of Biomechanics, vol.10, issue.8, pp.487-492, 1977.
DOI : 10.1016/0021-9290(77)90102-6

R. M. Pidaparti, Microdamage simulation in a bone tissue using finite element analysis, Computers & Structures, vol.62, issue.3, pp.463-466, 1997.
DOI : 10.1016/S0045-7949(96)00209-X

C. C. Pilbeam and S. Choudhary, Prostaglandins and Bone Metabolism, Principles of Bone Biology, pp.1235-1271, 2008.

M. Pithioux and P. Lasaygues, An alternative ultrasonic method for measuring the elastic properties of cortical bone, Journal of Biomechanics, vol.35, issue.7, pp.961-968, 2002.
DOI : 10.1016/S0021-9290(02)00027-1
URL : https://hal.archives-ouvertes.fr/hal-00008733

P. Pivonka and J. Zimak, Model structure and control of bone remodeling: A theoretical study, Bone, vol.43, issue.2, pp.249-263, 2008.
DOI : 10.1016/j.bone.2008.03.025

M. Predoi-racila and J. M. Crolet, SINUPROS: human cortical bone multiscale model with a fluide???structure interaction, Computer Methods in Biomechanics and Biomedical Engineering, vol.14, issue.sup1, pp.179-180, 2007.
DOI : 10.1080/10255840500156971
URL : https://hal.archives-ouvertes.fr/hal-00485040

P. J. Prendergast and R. Huiskes, Microdamage and Osteocyte-Lacuna Strain in Bone: A Microstructural Finite Element Analysis, Journal of Biomechanical Engineering, vol.118, issue.2, pp.240-246, 1996.
DOI : 10.1115/1.2795966

V. Quaglini and V. L. Russa, Nonlinear stress relaxation of trabecular bone, Mechanics Research Communications, vol.36, issue.3, pp.275-283, 2009.
DOI : 10.1016/j.mechrescom.2008.10.012

S. Ramtani, Electro-mechanics of bone remodelling, International Journal of Engineering Science, vol.46, issue.11, pp.1173-1182, 2008.
DOI : 10.1016/j.ijengsci.2008.06.001

L. Rapillard and M. Charlebois, Compressive fatigue behavior of human vertebral trabecular bone, Journal of Biomechanics, vol.39, issue.11, pp.2133-2139, 2006.
DOI : 10.1016/j.jbiomech.2005.04.033

J. F. Raposo and L. G. Sobrinho, A Minimal Mathematical Model of Calcium Homeostasis, The Journal of Clinical Endocrinology & Metabolism, vol.87, issue.9, pp.4330-4340, 2002.
DOI : 10.1210/jc.2002-011870

Y. Rhee and M. R. Allen, PTH receptor signaling in osteocytes governs periosteal bone formation and intracortical remodeling, Journal of Bone and Mineral Research, vol.30, issue.5, pp.1035-1046, 2011.
DOI : 10.1002/jbmr.304

J. Rho and T. Y. Tsui, Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation, Biomaterials, vol.18, issue.20, pp.1325-1330, 1997.
DOI : 10.1016/S0142-9612(97)00073-2

R. Rieger and R. Hambli, Modeling of biological doses and mechanical effects on bone transduction, Journal of Theoretical Biology, vol.274, issue.1, pp.36-42, 2011.
DOI : 10.1016/j.jtbi.2011.01.003
URL : https://hal.archives-ouvertes.fr/hal-00655576

P. H. Robert, How does bone support calcium homeostasis?, Bone, vol.33, issue.3, pp.264-268, 2003.

G. Rochefort and S. Pallu, Osteocyte: the unrecognized side of bone tissue, Osteoporosis International, vol.10, issue.Suppl 9, pp.1457-1469, 2010.
DOI : 10.1007/s00198-010-1194-5
URL : https://hal.archives-ouvertes.fr/inserm-00463446

G. D. Roodman, Cell biology of the osteoclast, Experimental Hematology, vol.27, issue.8, pp.1229-1241, 1999.
DOI : 10.1016/S0301-472X(99)00061-2

T. Rüberg, Computer Simulation of Adaptive Bone Remodeling, 2003.

R. Ruimerman and P. Hilbers, A theoretical framework for strain-related trabecular bone maintenance and adaptation, Journal of Biomechanics, vol.38, issue.4, pp.931-941, 2005.
DOI : 10.1016/j.jbiomech.2004.03.037

M. D. Ryser and N. Nigam, Mathematical Modeling of Spatio-Temporal Dynamics of a Single Bone Multicellular Unit, Journal of Bone and Mineral Research, vol.24, issue.5, pp.860-870, 2009.
DOI : 10.1359/jbmr.081229

S. Maldonado and R. F. , Phenomenological Mathematical Modeling and Analysis of Force- Induced Bone Growth and Adaptation, Proceedings of 2nd Foundations of Systems Biology and Engineering Conference FOSBE, 2007.

P. K. Saha and F. W. Wehrli, A robust method for measuring trabecular bone orientation anisotropy at in vivo resolution using tensor scale, Pattern Recognition, vol.37, issue.9, pp.1935-1944, 2004.
DOI : 10.1016/j.patcog.2003.12.019

D. M. Salter and J. E. Robb, Electrophysiological Responses of Human Bone Cells to Mechanical Stimulation: Evidence for Specific Integrin Function in Mechanotransduction, Journal of Bone and Mineral Research, vol.331, issue.7, pp.1133-1141, 1997.
DOI : 10.1359/jbmr.1997.12.7.1133

J. A. Sanz-herrera and J. M. García-aznar, Micro???macro numerical modelling of bone regeneration in tissue engineering, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.33-40, pp.33-40, 2008.
DOI : 10.1016/j.cma.2008.02.010

R. Schneider and G. Faust, Inhomogeneous, orthotropic material model for the cortical structure of long bones modelled on the basis of clinical CT or density data, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.27-29, pp.27-29, 2009.
DOI : 10.1016/j.cma.2009.02.010

A. Scutt and P. Bertram, Bone marrow cells are targets for the anabolic actions of prostaglandin E2 on bone: Induction of a transition from nonadherent to adherent osteoblast precursors, Journal of Bone and Mineral Research, vol.37, issue.3, pp.474-487, 1995.
DOI : 10.1002/jbmr.5650100320

C. C. Silva and D. Thomazini, Collagen???hydroxyapatite films: piezoelectric properties, Materials Science and Engineering: B, vol.86, issue.3, pp.210-218, 2001.
DOI : 10.1016/S0921-5107(01)00674-2

N. A. Sims and J. H. Gooi, Bone remodeling: Multiple cellular interactions required for coupling of bone formation and resorption, Seminars in Cell & Developmental Biology, vol.19, issue.5, pp.444-451, 2008.
DOI : 10.1016/j.semcdb.2008.07.016

T. H. Smit and J. M. Huyghe, Estimation of the poroelastic parameters of cortical bone, Journal of Biomechanics, vol.35, issue.6, pp.829-835, 2002.
DOI : 10.1016/S0021-9290(02)00021-0

J. Stefan, J. R. Clinton, T. Rubin, R. L. Bilezikian, J. Rodan et al., Mechanism of Exercice Effects on, Bone Quantity and Quality. Principles of Bone Biology, vol.30, pp.1819-1837, 2008.

M. E. Steinberg and R. E. Wert, Deformation potentials in whole bone, Journal of Surgical Research, vol.14, issue.3, pp.254-259, 1973.
DOI : 10.1016/0022-4804(73)90142-X

J. Stolk and N. Verdonschot, Finite element simulation of anisotropic damage accumulation and creep in acrylic bone cement, Engineering Fracture Mechanics, vol.71, issue.4-6, pp.4-6, 2004.
DOI : 10.1016/S0013-7944(03)00048-1

Z. Tabor and E. Rokita, Stochastic simulations of remodeling applied to a two-dimensional trabecular bone structure, Bone, vol.31, issue.3, pp.413-417, 2002.
DOI : 10.1016/S8756-3282(02)00837-2

Z. Tabor and E. Rokita, Quantifying anisotropy of trabecular bone from gray-level images, Bone, vol.40, issue.4, pp.966-972, 2007.
DOI : 10.1016/j.bone.2006.10.022

R. V. Talmage and H. T. Mobley, The concentration of free calcium in plasma is set by the extracellular action of noncollagenous proteins and hydroxyapatite, General and Comparative Endocrinology, vol.162, issue.3, pp.245-250, 2009.
DOI : 10.1016/j.ygcen.2009.03.027

A. F. Taylor and M. M. Saunders, Mechanically stimulated osteocytes regulate osteoblastic activity via gap junctions, AJP: Cell Physiology, vol.292, issue.1, pp.545-552, 2007.
DOI : 10.1152/ajpcell.00611.2005

M. Taylor and J. Cotton, Finite Element Simulation of the Fatigue Behaviour of Cancellous Bone, Meccanica, vol.37, issue.4/5, pp.419-429, 2002.
DOI : 10.1023/A:1020848007201

W. R. Taylor and E. Roland, Determination of orthotropic bone elastic constants using FEA and modal analysis, Journal of Biomechanics, vol.35, issue.6, pp.767-773, 2002.
DOI : 10.1016/S0021-9290(02)00022-2

S. L. Teitelbaum, Bone Resorption by Osteoclasts, Science, vol.289, issue.5484, pp.1504-1508, 2000.
DOI : 10.1126/science.289.5484.1504

A. Teti and A. Zallone, Do osteocytes contribute to bone mineral homeostasis? Osteocytic osteolysis revisited, Bone, vol.44, issue.1, pp.11-16, 2009.
DOI : 10.1016/j.bone.2008.09.017

K. Tezuka and Y. Wada, Computer-simulated bone architecture in a simple bone-remodeling model based on a reaction-diffusion system, Journal of Bone and Mineral Metabolism, vol.23, issue.1, pp.1-7, 2005.
DOI : 10.1007/s00774-004-0533-z

J. S. Thomsen and L. Mosekilde, Stochastic simulation of vertebral trabecular bone remodeling, Bone, vol.15, issue.6, pp.655-666, 1994.
DOI : 10.1016/8756-3282(94)90314-X

J. D. Tobias, Bone health and osteoporosis in postmenopausal women Best Practice & Research Clinical Obstetrics &amp, Gynaecology, vol.23, issue.1, pp.73-85, 2009.

B. R. Troen, Molecular mechanisms underlying osteoclast formation and activation, Experimental Gerontology, vol.38, issue.6, pp.605-614, 2003.
DOI : 10.1016/S0531-5565(03)00069-X

K. Tsubota and T. Adachi, Functional adaptation of cancellous bone in human proximal femur predicted by trabecular surface remodeling simulation toward uniform stress state, Journal of Biomechanics, vol.35, issue.12, pp.1541-1551, 2002.
DOI : 10.1016/S0021-9290(02)00173-2

K. Tsubota and Y. Suzuki, Computer simulation of trabecular remodeling in human proximal femur using large-scale voxel FE models: Approach to understanding Wolff's law, Journal of Biomechanics, vol.42, issue.8, pp.1088-1094, 2009.
DOI : 10.1016/j.jbiomech.2009.02.030

C. H. Turner, Three rules for bone adaptation to mechanical stimuli, Bone, vol.23, issue.5, pp.399-407, 1998.
DOI : 10.1016/S8756-3282(98)00118-5

C. H. Turner and A. Chandran, The anisotropy of osteonal bone and its ultrastructural implications, Bone, vol.17, issue.1, pp.85-89, 1995.
DOI : 10.1016/8756-3282(95)00148-7

C. H. Turner and I. Owan, Recruitment and Proliferative Responses of Osteoblasts After Mechanical Loading In Vivo Determined Using Sustained-Release Bromodeoxyuridine, Bone, vol.22, issue.5, pp.463-469, 1998.
DOI : 10.1016/S8756-3282(98)00041-6

C. H. Turner and J. Rho, The elastic properties of trabecular and cortical bone tissues are similar: results from two microscopic measurement techniques, Journal of Biomechanics, vol.32, issue.4, pp.437-441, 1999.
DOI : 10.1016/S0021-9290(98)00177-8

M. C. Van-der-meulen and R. Huiskes, Why mechanobiology?, Journal of Biomechanics, vol.35, issue.4, pp.401-414, 2002.
DOI : 10.1016/S0021-9290(01)00184-1

A. Van-der-plas and E. M. Aarden, Characteristics and properties of osteocytes in culture, Journal of Bone and Mineral Research, vol.200, issue.Suppl, pp.1697-1704, 1994.
DOI : 10.1002/jbmr.5650091105

G. H. Van-lenthe and R. Huiskes, How morphology predicts mechanical properties of trabecular structures depends on intra-specimen trabecular thickness variations, Journal of Biomechanics, vol.35, issue.9, pp.1191-1197, 2002.
DOI : 10.1016/S0021-9290(02)00081-7

B. Van-rietbergen and A. Odgaard, Relationships between bone morphology and bone elastic properties can be accurately quantified using high-resolution computer reconstructions, Journal of Orthopaedic Research, vol.27, issue.1, pp.23-28, 1998.
DOI : 10.1002/jor.1100160105

B. Van-rietbergen and H. Weinans, A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models, Journal of Biomechanics, vol.28, issue.1, pp.69-81, 1995.
DOI : 10.1016/0021-9290(95)80008-5

J. Verhaeghe and J. S. Thomsen, Effects of exercise and disuse on bone remodeling, bone mass, and biomechanical competence in spontaneously diabetic female rats, Bone, vol.27, issue.2, pp.249-256, 2000.
DOI : 10.1016/S8756-3282(00)00308-2

P. S. Vezeridis and C. M. Semeins, Osteocytes subjected to pulsating fluid flow regulate osteoblast proliferation and differentiation, Biochemical and Biophysical Research Communications, vol.348, issue.3, pp.1082-1088, 2006.
DOI : 10.1016/j.bbrc.2006.07.146

M. Viceconti and F. Taddei, Multiscale modelling of the skeleton for the prediction of the risk of fracture, Clinical Biomechanics, vol.23, issue.7, pp.845-852, 2008.
DOI : 10.1016/j.clinbiomech.2008.01.009

X. J. Wang and X. B. Chen, Elastic modulus and hardness of cortical and trabecular bovine bone measured by nanoindentation, Transactions of Nonferrous Metals Society of China, vol.16, issue.2, pp.744-748, 2006.
DOI : 10.1016/S1003-6326(06)60293-8

Y. Wang and L. M. Mcnamara, A model for the role of integrins in flow induced mechanotransduction in osteocytes, Proceedings of the National Academy of Sciences, vol.104, issue.40, pp.15941-15946, 2007.
DOI : 10.1073/pnas.0707246104

F. Wauquier and L. Leotoing, Oxidative stress in bone remodelling and disease, Trends in Molecular Medicine, vol.15, issue.10, pp.468-477, 2009.
DOI : 10.1016/j.molmed.2009.08.004

D. J. Webster and P. L. Morley, mouse model for mechanically stimulated bone adaptation ??? a combined experimental and computational validation study, Computer Methods in Biomechanics and Biomedical Engineering, vol.270, issue.5, pp.435-441, 2008.
DOI : 10.1088/0031-9155/47/23/305

S. Weinbaum, Mechanotransduction and flow across the endothelial glycocalyx, Proceedings of the National Academy of Sciences, vol.100, issue.13, pp.7988-7995, 2003.
DOI : 10.1073/pnas.1332808100

S. Weinbaum and S. C. Cowin, A model for the excitation of osteocytes by mechanical loading-induced bone fluid shear stresses, Journal of Biomechanics, vol.27, issue.3, pp.339-360, 1994.
DOI : 10.1016/0021-9290(94)90010-8

S. J. Wimalawansa, G. R. John, T. J. Lawrence, and . Martin, Skeletal Effects of Nitric Oxide, Principles of Bone Biology, pp.1273-1310, 2008.
DOI : 10.1016/B978-0-12-373884-4.00007-0

D. Wimpenny and A. Moroz, On allosteric control model of bone turnover cycle containing osteocyte regulation loop, Biosystems, vol.90, issue.2, pp.295-308, 2007.
DOI : 10.1016/j.biosystems.2006.09.033

J. Wolff, Das Gesetz der Transformation der Knochen translation: The Law of Bone Remodelling, 1892.

G. Yang and J. Kabel, The Anisotropic Hooke's Law for Cancellous Bone and Wood, Journal of Elasticity, vol.53, issue.2, pp.125-146, 1998.
DOI : 10.1023/A:1007575322693

L. You and S. C. Cowin, A model for strain amplification in the actin cytoskeleton of osteocytes due to fluid drag on pericellular matrix, Journal of Biomechanics, vol.34, issue.11, pp.1375-1386, 2001.
DOI : 10.1016/S0021-9290(01)00107-5

G. Zaman and A. A. Pitsillides, Mechanical Strain Stimulates Nitric Oxide Production by Rapid Activation of Endothelial Nitric Oxide Synthase in Osteocytes, Journal of Bone and Mineral Research, vol.8, issue.Suppl 1, pp.1123-1131, 1999.
DOI : 10.1359/jbmr.1999.14.7.1123

P. Zioupos and A. Casinos, Cumulative damage and the response of human bone in two-step loading fatigue, Journal of Biomechanics, vol.31, issue.9, pp.825-833, 1998.
DOI : 10.1016/S0021-9290(98)00102-X

P. Zioupos and X. T. Wang, The accumulation of fatigue microdamage in human cortical bone of two different ages in vitro, Clinical Biomechanics, vol.11, issue.7, pp.365-375, 1996.
DOI : 10.1016/0268-0033(96)00010-1

P. Zioupos and X. T. Wang, Experimental and theoretical quantification of the development of damage in fatigue tests of bone and antler, Journal of Biomechanics, vol.29, issue.8, pp.989-1002, 1996.
DOI : 10.1016/0021-9290(96)00001-2

P. K. Zysset, A review of morphology???elasticity relationships in human trabecular bone: theories and experiments, Journal of Biomechanics, vol.36, issue.10, pp.1469-1485, 2003.
DOI : 10.1016/S0021-9290(03)00128-3

P. K. Zysset and X. E. Guo, Elastic modulus and hardness of cortical and trabecular bone lamellae measured by nanoindentation in the human femur, Journal of Biomechanics, vol.32, issue.10, pp.1005-1012, 1999.
DOI : 10.1016/S0021-9290(99)00111-6