M. .. Materials,

.. .. Results, 107 6.3.3 Comparison between 30 nm and 120 nm

.. .. Discussion,

, Quantification of the lacuno-canalicular network in a series of human femoral samples by the magnified X-ray phase nano-CT, Chapter

M. .. Materials,

.. .. Results,

.. .. Discussion,

M. .. Materials,

.. .. Results,

.. .. , 3.3.2 Quantification of cropped volumes at 120 nm

.. .. Discussion,

M. .. Materials,

.. .. Results,

, Statistical analysis in association with sex

.. .. Discussion,

B. Yu, L. Weber, A. Pacureanu, M. Langer, C. Olivier et al., Evaluation of phase retrieval approaches in magnified X-ray phase nano computerized tomography applied to bone tissue, Opt. Express, vol.26, issue.9, p.11110, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01812632

B. Yu, L. Weber, A. Pacureanu, M. Langer, C. Olivier et al., Phase retrieval in 3D X-ray magnified phase nano CT: Imaging bone tissue at the nanoscale, 2017 IEEE 14th International Symposium on Biomedical Imaging, pp.56-59, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01597635

B. Yu, M. Langer, A. Pacureanu, R. Gauthier, H. Follet et al., Assessment of imaging quality in magnified phase CT of human bone tissue at the nanoscale, Developments in X-Ray Tomography XI, Proc. SPIE 103910L, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01598012

X. Cai, R. Gauthier, L. Peralta, H. Follet, E. Gineyts et al., Relationships between cortical bone quality biomarkers: Stiffness, toughness, microstructure, mineralization, cross-links and collagen, 2017 IEEE International Ultrasonics Symposium (IUS), pp.1-1, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01598039

B. Yu, L. Weber, A. Pacureanu, R. Gauthier, C. Olivier et al., Synchrotron radiation phase CT for the investigation of nano properties in femoral human bone, 22nd Congress of the European Society of Biomechanics (ESB), 2016.
URL : https://hal.archives-ouvertes.fr/hal-01482339

B. Yu, M. Langer, A. Pacureanu, C. Olivier, P. Gouttenoire et al., Assessment of the lacuno-canalicular network in human bone from magnified phase nano-CT images, 21st International Bone Densitometry Workshop IBDW/ESUCB, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01598363

D. Fiole, B. Yu, A. Pacureanu, P. Varga, C. Olivier et al., Determination of indium content of GaAs/(In,Ga)As/(GaAs) core-shell(-shell) nanowires by x-ray diffraction and nano x-ray fluorescence, 8th World Congress of Biomechanics (WCB), vol.2, 2018.

J. C. Andrews, E. Almeida, M. C. Van-der-meulen, J. S. Alwood, C. Lee et al., Nanoscale XRay Microscopic Imaging of Mammalian Mineralized Tissue, Microsc. Microanal, vol.16, issue.03, pp.327-336, 2010.

M. Andronowski, A. Z. Mundorff, I. V. Pratt, J. M. Davoren, and D. M. Cooper, Evaluating differential nuclear DNA yield rates and osteocyte numbers among human bone tissue types: A synchrotron radiation micro-CT approach, Forensic Sci. Int. Genet, vol.28, pp.211-218, 2017.

A. Annunziata, L. Garzelli, A. Ballerini, E. Mecocci, and . Trucco, Leveraging Multiscale Hessian-Based Enhancement With a Novel Exudate Inpainting Technique for Retinal Vessel Segmentation, IEEE J. Biomed. Health Inform, vol.20, issue.4, pp.1129-1138, 2016.

M. Asada, Y. Sato, and . Katayama, Communication of bone cells with hematopoiesis, immunity and energy metabolism, BoneKEy Rep, vol.4, 2015.

M. Ashique, L. S. Hart, C. D. Thomas, J. G. Clement, P. Pivonka et al., Lacunar-canalicular network in femoral cortical bone is reduced in aged women and is predominantly due to a loss of canalicular porosity, Bone Rep, vol.7, pp.9-16, 2017.

F. L. Bach-gansmo, A. Brüel, M. V. Jensen, E. N. Ebbesen, H. Birkedal et al., Osteocyte lacunar properties and cortical microstructure in human iliac crest as a function of age and sex, Bone, vol.91, pp.11-19, 2016.

F. L. Bach-gansmo, J. C. Weaver, M. H. Jensen, H. Leemreize, K. S. Mader et al., Osteocyte lacunar properties in rat cortical bone: Differences between lamellar and central bone, J. Struct. Biol, vol.191, issue.1, pp.59-67, 2015.

F. L. Bach-gansmo, N. K. Wittig, A. Brüel, J. S. Thomsen, and H. Birkedal, Immobilization and long-term recovery results in large changes in bone structure and strength but no corresponding alterations of osteocyte lacunar properties, Bone, vol.91, pp.139-147, 2016.

A. Balles, S. Zabler, T. Ebensperger, C. Fella, and R. Hanke, Propagator based formalism for optimizing in-line phase contrast imaging in laboratory X-ray setups, Rev. Sci. Instrum, vol.87, issue.9, p.93707, 2016.

R. Barrett, R. Baker, P. Cloetens, C. Morawe, R. Tucoulou et al., Reflective Optics for Hard X-ray Nanofocusing Applications at the ESRF, Synchrotron Radiat. News, vol.29, issue.4, pp.10-15, 2016.

M. A. Beltran, D. M. Paganin, K. Uesugi, and M. J. Kitchen, 2D and 3D X-ray phase retrieval of multi-material objects using a single defocus distance, Opt. Express, vol.18, issue.7, p.6423, 2010.

J. C. Biasci, J. F. Bouteille, N. Carmignani, J. Chavanne, D. Coulon et al., A Low-Emittance Lattice for the ESRF, Synchrotron Radiat. News, vol.27, issue.6, pp.8-12, 2014.

R. Boistel, T. Aubin, P. Cloetens, F. Peyrin, T. Scotti et al., How minute sooglossid frogs hear without a middle ear, Proc. Natl. Acad. Sci, vol.110, pp.15360-15364, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00993596

F. Bonewald, ;. M. Hart-;-m, W. Boone, M. Devulder, L. Dierick et al., Comparison of two single-image phase-retrieval algorithms for in-line x-ray phasecontrast imaging, J. Bone Miner. Res, vol.26, issue.2, p.2667, 1965.

B. Bozal, L. M. Sánchez, and A. M. Ubios, The lacuno-canalicular system (LCS) and osteocyte network of alveolar bone by confocal laser scanning microscopy (CLSM), Acta Odontol. Latinoam. AOL, vol.25, issue.1, pp.123-131, 2011.

A. Bravin, P. Coan, and P. Suortti, X-ray phase-contrast imaging: from pre-clinical applications towards clinics, Phys. Med. Biol, vol.58, issue.1, pp.1-35, 2013.

G. R. Brock, G. Kim, A. R. Ingraffea, J. C. Andrews, P. Pianetta et al., Nanoscale Examination of Microdamage in Sheep Cortical Bone Using Synchrotron Radiation Transmission X-Ray Microscopy, PLoS ONE, vol.8, issue.3, p.57942, 2013.

A. V. Bronnikov, Theory of quantitative phase-contrast computed tomography, J. Opt. Soc. Am. A, vol.19, issue.3, p.472, 2002.

P. R. Buenzli and N. A. Sims, Quantifying the osteocyte network in the human skeleton, Bone, vol.75, pp.144-150, 2015.

A. Burvall, U. Lundström, P. A. Takman, D. H. Larsson, and H. M. Hertz, Phase retrieval in X-ray phase-contrast imaging suitable for tomography, Opt. Express, vol.19, issue.11, p.10359, 2011.

B. Busse, D. Djonic, P. Milovanovic, M. Hahn, K. Püschel et al., Decrease in the osteocyte lacunar density accompanied by hypermineralized lacunar occlusion reveals failure and delay of remodeling in aged human bone: Osteocyte lacunar density and composition in aging, Aging Cell, vol.9, issue.6, pp.1065-1075, 2010.

L. Cai, A. Peralta, L. Giron, C. Helfen, F. Olivier et al., Cortical bone elasticity measured by resonant ultrasound spectroscopy is not altered by defatting and synchrotron X-ray imaging, J. Mech. Behav. Biomed. Mater, vol.72, pp.241-245, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01597533

M. Capulli, R. Paone, and N. Rucci, Osteoblast and osteocyte: Games without frontiers, Arch. Biochem. Biophys, vol.561, pp.3-12, 2014.

A. J. Carroll, G. A. Van-riessen, E. Balaur, I. P. Dolbnya, G. N. Tran et al., An iterative method for robust in-line phase contrast imaging, New J. Phys, vol.18, issue.4, p.43003, 2016.

C. D. Carter, J. G. Thomas, D. M. Clement, and . Cooper, Femoral osteocyte lacunar density, volume and morphology in women across the lifespan, J. Struct. Biol, vol.183, issue.3, pp.519-526, 2013.

C. D. Carter, J. G. Thomas, A. G. Clement, K. Peele, D. M. Hannah et al., Variation in osteocyte lacunar morphology and density in the human femur -a synchrotron radiation micro-CT study, Bone, vol.52, issue.1, pp.126-132, 2013.

H. A. Castillo-michel, C. Larue, A. E. Pradas-del-real, M. Cotte, and G. Sarret, Practical review on the use of synchrotron based micro-and nano-X-ray fluorescence mapping and X-ray absorption spectroscopy to investigate the interactions between plants and engineered nanomaterials, Plant Physiol. Biochem, vol.110, pp.13-32, 2017.

J. Cesar-da-silva, A. Pacureanu, Y. Yang, S. Bohic, C. Morawe et al., Efficient concentration of high-energy x-rays for diffraction-limited imaging resolution, Optica, vol.4, issue.5, p.492, 2017.

F. Chan and L. A. Vese, Active contours without edges, IEEE Trans. Image Process, vol.10, issue.2, pp.266-277, 2001.

A. Ciani, M. Guizar-sicairos, A. Diaz, M. Holler, S. Pallu et al., Segmentation of nanotomographic cortical bone images for quantitative characterization of the osteoctyte lacuno-canalicular network, p.20040, 2016.

W. Cloetens, J. Ludwig, D. Baruchel, J. Van-dyck, J. P. Van-landuyt et al., Holotomography: Quantitative phase tomography with micrometer resolution using hard synchrotron radiation x rays, Appl. Phys. Lett, vol.75, issue.19, p.2912, 1999.

P. Cloetens, M. Pateyron-salomé, J. Y. Buffière, G. Peix, J. Baruchel et al., Observation of microstructure and damage in materials by phase sensitive radiography and tomography, J. Appl. Phys, vol.81, issue.9, pp.5878-5886, 1997.
URL : https://hal.archives-ouvertes.fr/hal-01668836

C. Colnot, Skeletal Cell Fate Decisions Within Periosteum and Bone Marrow During Bone Regeneration, J. Bone Miner. Res, vol.24, issue.2, pp.274-282, 2009.

M. Couprie and J. Filhol, X radiation sources based on accelerators, Comptes Rendus Phys, vol.9, issue.5, pp.487-506, 2008.

M. E. Couprie, New generation of light sources: Present and future, J. Electron Spectrosc. Relat. Phenom, vol.196, pp.3-13, 2014.

H. Dai and Y. Yuan, A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property, SIAM J. Optim, vol.10, issue.1, pp.177-182, 1999.

K. H. Dalasm, T. Kotaka, Y. Tabuchi, and U. Pasaogullari, A Comparison of Laboratory Based and Synchrotron Based Nano X-ray CT for PEFC Micro Porous Layer, ECS Trans, vol.58, issue.1, pp.345-352, 2013.

S. L. Dallas, M. Prideaux, and L. F. Bonewald, The Osteocyte: An Endocrine Cell ? and More, Endocr. Rev, vol.34, issue.5, pp.658-690, 2013.

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish et al., Ptychographic X-ray computed tomography at the nanoscale, Nature, vol.467, issue.7314, pp.436-439, 2010.

S. Dole, C. M. Mazur, C. Acevedo, J. P. Lopez, D. A. Monteiro et al., Osteocyte-Intrinsic TGF-? Signaling Regulates Bone Quality through Perilacunar/Canalicular Remodeling, Cell Rep, vol.21, issue.9, pp.2585-2596, 2017.

S. Dong, B. Haupert, M. Hesse, P. Langer, V. Gouttenoire et al., 3D osteocyte lacunar morphometric properties and distributions in human femoral cortical bone using synchrotron radiation micro-CT images, Bone, vol.60, pp.172-185, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00976965

A. Dong, M. A. Pacureanu, C. Zuluaga, Q. Olivier, F. Grimal et al., Quantification of the 3D morphology of the bone cell network from synchrotron micro-CT images, Image Anal. Stereol, vol.33, issue.2, p.157, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01052960

N. Eliaz and N. Metoki, Calcium Phosphate Bioceramics: A Review of Their History, Structure, Properties, Coating Technologies and Biomedical Applications, Materials, vol.10, issue.4, p.334, 2017.

M. Fakhry, Molecular mechanisms of mesenchymal stem cell differentiation towards osteoblasts, World J. Stem Cells, vol.5, issue.4, p.136, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00917978

R. Fletcher-;-r.-florencio-silva, G. R. Da, S. Sasso, E. Sasso-cerri, M. J. Simões et al., Biology of Bone Tissue: Structure, Function, and Factors That Influence Bone Cells, BioMed Res. Int, vol.7, issue.2, pp.1-17, 1964.

J. Flusser, T. Suk, and B. Zitov, Moments and Moment Invariants in Pattern Recognition, 2009.

H. Fonseca, D. Moreira-gonçalves, H. A. Coriolano, and J. A. Duarte, Bone Quality: The Determinants of Bone Strength and Fragility, Sports Med, vol.44, issue.1, pp.37-53, 2014.

H. Foroosh, J. B. Zerubia, and M. Berthod, Extension of phase correlation to subpixel registration, IEEE Trans. Image Process, vol.11, issue.3, pp.188-200, 2002.

P. Fratzl and R. Weinkamer, Nature's hierarchical materials, Prog. Mater. Sci, vol.52, issue.8, pp.1263-1334, 2007.

H. Fujita, Ultra-high voltage electron microscopy: Past, present, and future, J. Electron Microsc. Tech, vol.3, issue.3, pp.243-304, 1986.

K. Fulzele, F. Lai, C. Dedic, V. Saini, Y. Uda et al., Osteocyte-secreted Wnt signaling inhibitor sclerostin contributes to beige adipogenesis in peripheral fat depots, J. Bone Miner. Res, vol.32, issue.2, pp.373-384, 2017.

E. M. Gatti, S. P. Azoulay, and . Fritton, Microstructural changes associated with osteoporosis negatively affect loading-induced fluid flow around osteocytes in cortical bone, J. Biomech, vol.66, pp.127-136, 2018.

R. Genthial, E. Beaurepaire, M. Schanne-klein, F. Peyrin, D. Farlay et al., Label-free imaging of bone multiscale porosity and interfaces using third-harmonic generation microscopy, Sci. Rep, vol.7, issue.1, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01540048

M. Goggin, K. C. Zygalakis, R. O. Oreffo, and P. Schneider, High-resolution 3D imaging of osteocytes and computational modelling in mechanobiology: insights on bone development, ageing, health and disease, Eur. Cell. Mater, vol.31, p.264, 2016.

W. Goodman, J. P. Guigay, M. Langer, R. Boistel, and P. Cloetens, Mixed transfer function and transport of intensity approach for phase retrieval in the Fresnel region, Opt. Lett, vol.32, issue.12, p.1617, 2005.

E. Gureyev, Y. I. Nesterets, A. Kozlov, D. M. Paganin, and H. M. Quiney, On the "unreasonable" effectiveness of transport of intensity imaging and optical deconvolution, J. Opt. Soc. Am. A, vol.34, issue.12, p.2251, 2017.

D. J. Hadjidakis and I. I. Androulakis, Bone Remodeling, Ann. N. Y. Acad. Sci, vol.1092, issue.1, pp.385-396, 2006.

K. Hagen, P. Maghsoudlou, G. Totonelli, P. C. Diemoz, M. Endrizzi et al., High contrast microstructural visualization of natural acellular matrices by means of phasebased x-ray tomography, Sci. Rep, vol.5, p.18156, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01573005

T. Hasegawa, H. Yamamoto, Z. Hongo, M. Qiu, T. Abe et al., Three-dimensional ultrastructure of osteocytes assessed by focused ion beam-scanning electron microscopy (FIB-SEM), Histochem. Cell Biol, 2018.

J. Haubrich, G. Requena, J. C. Silva, P. Cloetens, A. Pacureanu et al., High energy near-and far-field ptychographic tomography at the ESRF, p.5, 2017.

M. R. Hemmatian, S. Laurent, D. Ghazanfari, A. D. Vanderschueren, J. Bakker et al., Accuracy and reproducibility of mouse cortical bone microporosity as quantified by desktop microcomputed tomography, PLOS ONE, vol.12, issue.8, p.182996, 2017.

E. Hernlund, A. Svedbom, M. Ivergård, J. Compston, C. Cooper et al., Osteoporosis in the European Union: medical management, epidemiology and economic burden: A report prepared in collaboration with the International Osteoporosis Foundation (IOF) and the European Federation of Pharmaceutical Industry Associations (EFPIA), Arch. Osteoporos, vol.8, issue.1, 2013.

P. Hesse, M. Varga, A. Langer, S. Pacureanu, N. Schrof et al., Canalicular Network Morphology Is the Major Determinant of the Spatial Distribution of Mass Density in Human Bone Tissue: Evidence by Means of Synchrotron Radiation Phase-Contrast nano-CT, J. Bone Miner. Res, vol.30, issue.2, pp.346-356, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01123891

M. R. Hestenes and E. Stiefel, Methods of conjugate gradients for solving linear systems, J. Res. Natl. Bur. Stand, vol.49, issue.6, p.2379, 1952.

T. Hildebrand and P. Rüegsegger, Quantification of Bone Microarchitecture with the Structure Model Index, Comput. Methods Biomech. Biomed. Engin, vol.1, issue.1, pp.15-23, 1997.

G. Holzer, G. Skrbensky, L. A. Holzer, and W. Pichl, Hip Fractures and the Contribution of Cortical Versus Trabecular Bone to Femoral Neck Strength, J. Bone Miner. Res, vol.24, issue.3, pp.468-474, 2009.

R. P. Van-hove, P. A. Nolte, A. Vatsa, C. M. Semeins, P. L. Salmon et al., Osteocyte morphology in human tibiae of different bone pathologies with different bone mineral density -Is there a role for mechanosensing?, Bone, vol.45, issue.2, pp.321-329, 2009.

S. Jehan-besson, M. Barlaud, and G. Aubert, DREAM2S: Deformable Regions Driven by an Eulerian Accurate Minimization Method for Image and Video Segmentation, Int. J. Comput. Vis, vol.53, issue.1, pp.45-70, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00664596

L. Jilka and C. A. O'brien, The Role of Osteocytes in Age-Related Bone Loss, Curr. Osteoporos. Rep, vol.14, issue.1, pp.16-25, 2016.

K. S. Joeng, Y. Lee, J. Lim, Y. Chen, M. Jiang et al., Osteocyte-specific WNT1 regulates osteoblast function during bone homeostasis, J. Clin. Invest, vol.127, issue.7, pp.2678-2688, 2017.

A. Johannes, D. Salomon, G. Martinez-criado, M. Glaser, A. Lugstein et al., In operando x-ray imaging of nanoscale devices: Composition, valence, and internal electrical fields, Sci. Adv, vol.3, issue.12, p.4044, 2017.

G. R. Jordan, N. Loveridge, J. Power, M. T. Clarke, M. Parker et al., A three-dimensional distribution of osteocyte processes revealed by the combination of confocal laser scanning microscopy and differential interference contrast microscopy, C. Kak and M. Slaney. Principles of Computerized Tomographic Imaging, vol.72, pp.145-149, 1988.

H. Kamioka, Osteocyte bioimaging, J. Oral Biosci, vol.57, issue.2, pp.61-64, 2015.

A. Kanis, N. C. Harvey, C. Cooper, H. Johansson, A. Odén et al., A systematic review of intervention thresholds based on FRAX: A report prepared for the National Osteoporosis Guideline Group and the International Osteoporosis Foundation, Arch. Osteoporos, vol.11, issue.1, 2016.

. Karazija, Introduction to the Theory of X-Ray and Electronic Spectra of Free Atoms, 2013.

O. L. Katsamenis, H. M. Chong, O. G. Andriotis, and P. J. Thurner, Load-bearing in cortical bone microstructure: Selective stiffening and heterogeneous strain distribution at the lamellar level, J. Mech. Behav. Biomed. Mater, vol.17, pp.152-165, 2013.

X. Ke, X. Jiao, W. Ge, B. Xiao, and . Yu, From macro to micro: structural biomimetic materials by electrospinning, RSC Adv, vol.4, issue.75, pp.39704-39724, 2014.

M. L. Tate, J. R. Adamson, A. E. Tami, and T. W. Bauer, The osteocyte, Int. J. Biochem. Cell Biol, vol.36, issue.1, pp.1-8, 2004.

P. Kollmannsberger, M. Kerschnitzki, F. Repp, W. Wagermaier, R. Weinkamer et al., The small world of osteocytes: connectomics of the lacuno-canalicular network in bone, New J. Phys, vol.19, issue.7, p.73019, 2017.

H. Komaba, J. Kaludjerovic, D. Z. Hu, K. Nagano, K. Amano et al., Klotho expression in osteocytes regulates bone metabolism and controls bone formation, Kidney Int, vol.92, issue.3, pp.599-611, 2017.

D. Kongskov, J. S. Jørgensen, H. F. Poulsen, and P. C. Hansen, Noise robustness of a combined phase retrieval and reconstruction method for phase-contrast tomography, J. Opt. Soc. Am. A, vol.33, issue.4, p.447, 2016.

A. Kostenko, K. J. Batenburg, A. King, S. E. Offerman, and L. J. Van-vliet, Total variation minimization approach in in-line x-ray phase-contrast tomography, Opt. Express, vol.21, issue.10, p.12185, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01573017

M. Krenkel, A. Markus, M. Bartels, C. Dullin, F. Alves et al., Phase-contrast zoom tomography reveals precise locations of macrophages in mouse lungs, Sci. Rep, vol.5, issue.1, 2015.

M. Krenkel, M. Toepperwien, F. Alves, and T. Salditt, Three-dimensional single-cell imaging with X-ray waveguides in the holographic regime, Acta Crystallogr. Sect. Found. Adv, vol.73, issue.4, pp.282-292, 2017.

B. Laforce, S. Schmitz, B. Vekemans, J. Rudloff, J. Garrevoet et al., Nanoscopic X-ray Fluorescence Imaging of Meteoritic Particles and Diamond Inclusions, Anal. Chem, vol.86, issue.24, pp.12369-12374, 2014.

C. Lai, S. Price, W. R. Modla, J. Thompson, C. B. Caplan et al., The dependences of osteocyte network on bone compartment, age, and disease, Bone Res, vol.3, 2015.

M. Langer, P. Cloetens, J. Guigay, and F. Peyrin, Quantitative comparison of direct phase retrieval algorithms in in-line phase tomography, Med. Phys, vol.35, issue.10, p.4556, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00443304

M. Langer, A. Pacureanu, H. Suhonen, Q. Grimal, P. Cloetens et al., X-Ray Phase Nanotomography Resolves the 3D Human Bone Ultrastructure, PLoS ONE, vol.7, issue.8, p.35691, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00827779

M. Langer, P. Cloetens, B. Hesse, H. Suhonen, A. Pacureanu et al., Priors for X-ray in-line phase tomography of heterogeneous objects, Philos. Trans. R. Soc. Math. Phys. Eng. Sci, vol.372, pp.20130129-20130129, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00850005

P. Langer, F. Cloetens, and . Peyrin, Regularization of Phase Retrieval With PhaseAttenuation Duality Prior for 3-D Holotomography, IEEE Trans. Image Process, vol.19, issue.9, pp.2428-2436, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00443306

P. T. Leali, C. D. Fbse, A. Zachos, A. Ruggiu, F. Milia et al., AFM analysis of the lacunar-canalicular network in demineralized compact bone: AFM FOR 3D TISSUE NANOSTRUCTURE, Clin. Cases Miner. Bone Metab, vol.6, issue.2, pp.291-302, 2009.

K. S. Mader, P. Schneider, R. Müller, and M. Stampanoni, A quantitative framework for the 3D characterization of the osteocyte lacunar system, Bone, vol.57, issue.1, pp.142-154, 2013.

M. Marenzana and T. R. Arnett, The Key Role of the Blood Supply to Bone, Bone Res, vol.1, issue.3, pp.203-215, 2013.

N. Marieb and K. Hoehn, Human Anatomy & Physiology, Pearson, Essentials of Human Anatomy & Physiology, 2013.

M. Marinescu, M. Langer, A. Durand, C. Olivier, A. Chabrol et al., Synchrotron Radiation X-Ray Phase Micro-computed Tomography as a New Method to Detect Iron Oxide Nanoparticles in the Brain, Mol. Imaging Biol, vol.15, issue.5, pp.552-559, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00821105

G. Marotti, M. Ferretti, F. Remaggi, and C. Palumbo, Quantitative evaluation on osteocyte canalicular density in human secondary osteons, Bone, vol.16, issue.1, pp.125-128, 1995.

G. Martínez-criado, B. Alén, J. A. Sans, A. D. Lozano-gorrín, P. Haro-gonzález et al., X-ray nanoimaging of Nd^3+ optically active ions embedded in Sr_05Ba_05Nb_2O_6 nanocrystals, Opt. Mater. Express, vol.7, issue.7, p.2424, 2017.

G. Martínez-criado, J. Villanova, R. Tucoulou, D. Salomon, J. Suuronen et al., ID16B: a hard X-ray nanoprobe beamline at the ESRF for nano-analysis, J. Synchrotron Radiat, vol.23, issue.1, pp.344-352, 2016.

N. Menaa, G. D. Kurihara, and . Roodman, CFU-GM-Derived Cells Form Osteoclasts at a Very High Efficiency, Biochem. Biophys. Res. Commun, vol.267, issue.3, pp.943-946, 2000.

A. Mirone, E. Brun, E. Gouillart, P. Tafforeau, and J. Kieffer, The PyHST2 hybrid distributed code for high speed tomographic reconstruction with iterative reconstruction and a priori knowledge capabilities, Nucl. Instrum. Methods Phys. Res. Sect. B Beam Interact. Mater. At, vol.324, pp.41-48, 2014.

F. Mobilio, C. Boscherini, and . Meneghini, Synchrotron Radiation: Basics, Methods and Applications, 2015.

R. Mokso, P. Cloetens, E. Maire, W. Ludwig, J. Buffière et al., Nanoscale zoom tomography with hard x rays using Kirkpatrick-Baez optics, Appl. Phys. Lett, vol.90, issue.14, p.375, 1995.
URL : https://hal.archives-ouvertes.fr/hal-00434198

R. Morawe, P. Barrett, B. Cloetens, J. Lantelme, A. Peffen et al., Graded multilayers for figured Kirkpatrick-Baez mirrors on the new ESRF end station ID16A, p.958803, 2015.

M. G. Mullender, D. D. Van-der-meer, R. Huiskes, and P. Lips, Osteocyte density changes in aging and osteoporosis, Bone, vol.18, issue.2, pp.109-113, 1996.

M. G. Mullender, S. D. Tan, L. Vico, C. Alexandre, and J. Klein-nulend, Differences in Osteocyte Density and Bone Histomorphometry Between Men and Women and Between Healthy and Osteoporotic Subjects, Calcif. Tissue Int, vol.77, issue.5, pp.291-296, 2005.

T. Nakashima, M. Hayashi, T. Fukunaga, K. Kurata, M. Oh-hora et al., Evidence for osteocyte regulation of bone homeostasis through RANKL expression, Nat. Med, vol.17, p.1231, 2011.

P. Narducci, R. Bortul, R. Bareggi, and V. Nicolin, Clathrin-dependent endocytosis of membrane-bound RANKL in differentiated osteoclasts, Eur. J. Histochem, vol.54, issue.1, 2010.

I. Nesterets, S. W. Wilkins, T. E. Gureyev, A. Pogany, and A. W. Stevenson, On the optimization of experimental parameters for x-ray in-line phase-contrast imaging, Rev. Sci. Instrum, vol.76, issue.9, p.93706, 2005.

A. Odgaard, Three-dimensional methods for quantification of cancellous bone architecture, Bone, vol.20, issue.4, pp.315-328, 1997.

W. Ohser, K. Nagel, and . Schladitz, Miles formulae for Boolean models observed on lattices, Image Anal. Stereol, vol.28, issue.2, p.77, 2009.

J. Ohser and K. Schladitz, 3D Images of Materials Structures: Processing and Analysis, 2009.

M. Olabarriaga, W. Breeuwer, and . Niessen, Evaluation of Hessian-based filters to enhance the axis of coronary arteries in CT images, Int. Congr. Ser, vol.1256, pp.1191-1196, 2003.

M. J. Olszta, X. Cheng, S. S. Jee, R. Kumar, Y. Kim et al., Bone structure and formation: A new perspective, Mater. Sci. Eng. R Rep, vol.58, issue.3, pp.77-116, 2007.

A. Pacureanu, Imaging the bone cell network with nanoscale synchrotron computed tomography, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00838688

A. Pacureanu, M. Langer, E. Boller, P. Tafforeau, and F. Peyrin, Nanoscale imaging of the bone cell network with synchrotron X-ray tomography: optimization of acquisition setup: Synchrotron x-ray tomography reveals the bone cell network, Med. Phys, vol.39, issue.4, pp.2229-2238, 2012.

A. Pacureanu, A. Larrue, Z. Peter, and F. Peyrin, 3D non-linear enhancement of tubular microscopic bone porosities, 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, pp.602-605, 2009.

A. Pacureanu, C. Revol-muller, J. Rose, M. S. Ruiz, and F. Peyrin, Vesselness-guided variational segmentation of cellular networks from 3D micro-CT," in Biomedical Imaging: From Nano to Macro, IEEE International Symposium on, pp.912-915, 2010.

D. Paganin, S. C. Mayo, T. E. Gureyev, P. R. Miller, and S. W. Wilkins, Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object, J. Microsc, vol.206, issue.1, pp.33-40, 2002.

K. A. Paganin and . Nugent, Noninterferometric Phase Imaging with Partially Coherent Light, Phys. Rev. Lett, vol.80, issue.12, pp.2586-2589, 1998.

E. Palacio-mancheno, A. I. Larriera, S. B. Doty, L. Cardoso, and S. P. Fritton, 3D Assessment of Cortical Bone Porosity and Tissue Mineral Density Using High-Resolution µCT: Effects of Resolution and Threshold Method, J. Bone Miner. Res, vol.29, issue.1, pp.142-150, 2014.

M. Palumbo, A. Ferretti, D. Ardizzoni, G. Zaffe, and . Marotti, Osteocyte-osteoclast morphological relationships and the putative role of osteocytes in bone remodeling, J Musculoskelet Neuronal Interact, vol.1, issue.4, pp.327-359, 2001.

K. Peyrin and . Engelke, CT Imaging: Basics and New Trends, Handbook of Particle Detection and Imaging, pp.883-915, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00828180

R. J. Pignolo and M. A. Mukaddam, Evaluation of Bone Fragility and Fracture Prevention, pp.285-301, 2018.

L. I. Plotkin, Apoptotic Osteocytes and the Control of Targeted Bone Resorption, Curr. Osteoporos. Rep, vol.12, issue.1, pp.121-126, 2014.

E. Polak and G. Ribiere, Note sur la convergence de méthodes de directions conjuguées, Rev. Fr. Inform. Rech. Opérationnelle Sér. Rouge, vol.3, issue.1, pp.35-43, 1969.

S. Qiu, D. S. Rao, S. Palnitkar, and A. M. Parfitt, Differences in osteocyte and lacunar density between Black and White American women, Bone, vol.38, issue.1, pp.130-135, 2006.

P. Raimondi, ESRF-EBS: The Extremely Brilliant Source Project, Synchrotron Radiat. News, vol.29, issue.6, pp.8-15, 2016.

H. Ralston and ;. Rauch, The brains of the bones: how osteocytes use WNT1 to control bone formation, Medicine (Baltimore), vol.45, issue.9, pp.2539-2540, 2017.

F. Remaggi, V. Canè, C. Palumbo, and M. Ferretti, Histomorphometric study on the osteocyte lacuno-canalicular network in animals of different species. I. Woven-fibered and parallelfibered bones, Ital. J. Anat. Embryol. Arch. Ital. Anat. Ed Embriologia, vol.103, issue.4, pp.145-155, 1998.

F. Repp, P. Kollmannsberger, A. Roschger, A. Berzlanovich, G. M. Gruber et al., Coalignment of osteocyte canaliculi and collagen fibers in human osteonal bone, J. Struct. Biol, vol.199, issue.3, pp.177-186, 2017.

F. Repp, P. Kollmannsberger, A. Roschger, M. Kerschnitzki, A. Berzlanovich et al., Spatial heterogeneity in the canalicular density of the osteocyte network in human osteons, Med. Eng. Phys, vol.6, issue.2, pp.92-102, 1998.

M. S. Del-rio and R. J. Dejus, Status of XOP: an x-ray optics software toolkit, Optical Science and Technology, the SPIE 49th Annual Meeting, International Society for Optics and Photonics, pp.171-174, 2004.

G. Y. Rochefort, S. Pallu, and C. L. Benhamou, Osteocyte: the unrecognized side of bone tissue, Osteoporos. Int, vol.21, issue.9, pp.1457-1469, 2010.
URL : https://hal.archives-ouvertes.fr/inserm-00463446

T. Rolvien, M. Krause, A. Jeschke, T. Yorgan, K. Püschel et al., Vitamin D regulates osteocyte survival and perilacunar remodeling in human and murine bone, Bone, vol.103, pp.78-87, 2017.

J. Rose, T. Grenier, C. Revol-muller, and C. Odet, Unifying variational approach and region growing segmentation, Signal Processing Conference, pp.1781-1785, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01871245

M. A. Rubin and I. Jasiuk, The TEM characterization of the lamellar structure of osteoporotic human trabecular bone, Micron, vol.36, issue.7, pp.653-664, 2005.

P. Rüegsegger, B. Koller, and R. Müller, A microtomographic system for the nondestructive evaluation of bone architecture, Calcif. Tissue Int, vol.58, issue.1, pp.24-29, 1996.

A. Ruhlandt, M. Krenkel, M. Bartels, and T. Salditt, Three-dimensional phase retrieval in propagation-based phase-contrast imaging, Phys. Rev. A, vol.89, issue.3, 2014.

M. Salomé, F. Peyrin, P. Cloetens, C. Odet, A. Laval-jeantet et al., A synchrotron radiation microtomography system for the analysis of trabecular bone samples, Med. Phys, vol.26, issue.10, pp.2194-2204, 1999.

C. Sanchez-cano, I. Romero-canelón, Y. Yang, I. J. Hands-portman, S. Bohic et al., Synchrotron X-Ray Fluorescence Nanoprobe Reveals Target Sites for Organo-Osmium Complex in Human Ovarian Cancer Cells, Chem. -Eur. J, vol.23, issue.11, pp.2512-2516, 2017.

M. Sasaki, S. Kuroshima, Y. Aoki, N. Inaba, and T. Sawase, Ultrastructural alterations of osteocyte morphology via loaded implants in rabbit tibiae, J. Biomech, vol.48, issue.15, pp.4130-4141, 2015.

S. Sato, N. Nakajima, H. Shiraga, S. Atsumi, T. Yoshida et al., Three-dimensional multi-scale line filter for segmentation and visualization of curvilinear structures in medical images, Med. Image Anal, vol.2, issue.2, pp.143-168, 1998.

M. Sayab, J. Suuronen, F. Molnár, J. Villanova, A. Kallonen et al., Three-dimensional textural and quantitative analyses of orogenic gold at the nanoscale, Geology, vol.44, issue.9, pp.739-742, 2016.

M. B. Schaffler, W. Cheung, R. Majeska, and O. Kennedy, Osteocytes: Master Orchestrators of Bone, Calcif. Tissue Int, vol.94, issue.1, pp.5-24, 2014.

M. Schneider, R. Meier, R. Wepf, and . Müller, Towards quantitative 3D imaging of the osteocyte lacuno-canalicular network, Bone, vol.47, issue.5, pp.848-858, 2010.

M. Schneider, R. Meier, R. Wepf, and . Müller, Serial FIB/SEM imaging for quantitative 3D assessment of the osteocyte lacuno-canalicular network, Bone, vol.49, issue.2, pp.304-311, 2011.

P. Schöppe, C. S. Schnohr, M. Oertel, A. Kusch, A. Johannes et al., Improved Ga grading of sequentially produced Cu(In,Ga)Se 2 solar cells studied by high resolution X-ray fluorescence, Appl. Phys. Lett, vol.106, issue.1, p.13909, 2015.

A. Shah, B. R. Johansson, P. Thomsen, and A. Palmquist, Ultrastructural evaluation of shrinkage artefacts induced by fixatives and embedding resins on osteocyte processes and pericellular space dimensions: Ultrastructural Evaluation of Shrinkage Artefacts, J. Biomed. Mater. Res. A, vol.103, issue.4, pp.1565-1576, 2015.

A. Shah and A. Palmquist, Evidence that Osteocytes in Autogenous Bone Fragments can Repair Disrupted Canalicular Networks and Connect with Osteocytes in de novo Formed Bone on the Fragment Surface, Calcif. Tissue Int, vol.101, issue.3, pp.321-327, 2017.

F. A. Shah, A. Snis, A. Matic, P. Thomsen, and A. Palmquist, 3D printed Ti6Al4V implant surface promotes bone maturation and retains a higher density of less aged osteocytes at the bone-implant interface, Acta Biomater, vol.30, pp.357-367, 2016.

F. Shapiro, Cortical bone repair. The relationship of the lacunar-canalicular system and intercellular gap junctions to the repair process, J. Bone Joint Surg. Am, vol.70, issue.7, pp.1067-1081, 1988.

D. Sharma, C. Ciani, P. A. Marin, J. D. Levy, S. B. Doty et al., Alterations in the osteocyte lacunar-canalicular microenvironment due to estrogen deficiency, Bone, vol.51, issue.3, pp.488-497, 2012.

D. Sharma, A. I. Larriera, P. E. Palacio-mancheno, V. Gatti, J. C. Fritton et al., The effects of estrogen deficiency on cortical bone microporosity and mineralization, Bone, vol.110, pp.1-10, 2018.

J. C. Silva, A. Pacureanu, Y. Yang, F. Fus, M. Hubert et al., High-energy cryo x-ray nano-imaging at the ID16A beamline of ESRF, p.14, 2017.

. Singh, . Anatomy, . A. India-;-h, G. J. Sissons, L. Kelman et al., A light and scanning electron microscopic study of osteocyte activity in calcium-deficient rats, Calcif. Tissue Int, vol.46, issue.1, pp.33-37, 1990.

A. Song-chun-zhu and . Yuille, Region competition: unifying snakes, region growing, and Bayes/MDL for multiband image segmentation, IEEE Trans. Pattern Anal. Mach. Intell, vol.18, issue.9, pp.884-900, 1996.

D. S. Subashi, F. Butt, G. Kamberi, Y. Sinanaj, and . Bilushi, Physical Activity Recommended for Osteoporosis Prevention, Durreesamin J, vol.3, issue.3, 2017.

Y. Sugawara, R. Ando, H. Kamioka, Y. Ishihara, T. Honjo et al., The Three-Dimensional Morphometry and CellCell Communication of the Osteocyte Network in Chick and Mouse Embryonic Calvaria, Calcif. Tissue Int, vol.88, issue.5, pp.416-424, 2011.

R. Tannert, M. Schwan, A. Rege, M. Eggeler, J. C. Silva et al., The three-dimensional structure of flexible resorcinol-formaldehyde aerogels investigated by means of holotomography, J. Sol-Gel Sci. Technol, vol.84, issue.3, pp.391-399, 2017.

M. R. Teague, Irradiance moments: their propagation and use for unique retrieval of phase, J. Opt. Soc. Am, vol.72, issue.9, p.1199, 1982.

M. K. Thiel, A. Reumann, J. Boskey, R. Wischmann, P. Eisenhart-rothe et al., Osteoblast migration in vertebrate bone: Osteoblast migration in vertebrate bone, Biol. Rev, vol.93, issue.1, pp.350-363, 2018.

J. Toriwaki and T. Yonekura, Euler number and connectivity indexes of a three dimensional digital picture, Forma, vol.17, issue.3, pp.183-209, 2002.

G. J. Tortora and B. Derrickson, Principles of Anatomy & Physiology, 2012.

D. Turner, B. B. Dhal, J. P. Hayes, A. P. Mancuso, K. A. Nugent et al., X-ray phase imaging: Demonstration of extended conditions with homogeneous objects, Opt. Express, vol.12, issue.13, p.2960, 2004.

M. Ullherr and S. Zabler, Correcting multi material artifacts from single material phase retrieved holo-tomograms with a simple 3D Fourier method, Opt. Express, vol.23, issue.25, p.32718, 2015.

M. Ullherr, A. Balles, C. Fella, and S. Zabler, Using measurements of the spatial SNR to optimize phase contrast X-ray imaging, Nucl. Instrum. Methods Phys. Res. Sect. Accel. Spectrometers Detect. Assoc. Equip, vol.877, pp.44-50, 2018.

P. Varga, B. Hesse, M. Langer, S. Schrof, N. Männicke et al., Synchrotron X-ray phase nano-tomography-based analysis of the lacunar-canalicular network morphology and its relation to the strains experienced by osteocytes in situ as predicted by case-specific finite element analysis, Biomech. Model. Mechanobiol, vol.14, issue.2, pp.267-282, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01124445

D. Vashishth, O. Verborgt, G. Divine, M. B. Schaffler, and D. P. Fyhrie, Decline in osteocyte lacunar density in human cortical bone is associated with accumulation of microcracks with age, Bone, vol.26, issue.4, pp.375-380, 2000.

Y. Wang, Y. Wang, S. C. Han, R. J. Henderson, S. Majeska et al., In situ measurement of solute transport in the bone lacunar-canalicular system, Proc. Natl. Acad. Sci, vol.102, issue.33, pp.11911-11916, 2005.

L. M. Wang, M. B. Mcnamara, S. Schaffler, and . Weinbaum, A model for the role of integrins in flow induced mechanotransduction in osteocytes, Proc. Natl. Acad. Sci, vol.104, issue.40, pp.15941-15946, 2007.

P. Willmott, An Introduction to Synchrotron Radiation: Techniques and Applications, 2011.

M. P. Yavropoulou and J. G. Yovos, Osteoclastogenesis--current knowledge and future perspectives, J. Musculoskelet. Neuronal Interact, vol.8, issue.3, pp.204-216, 2008.

L. You, S. Weinbaum, S. C. Cowin, and M. B. Schaffler, Ultrastructure of the osteocyte process and its pericellular matrix, Anat. Rec, vol.278, issue.2, pp.505-513, 2004.

B. Yu, L. Weber, A. Pacureanu, M. Langer, C. Olivier et al., Evaluation of phase retrieval approaches in magnified X-ray phase nano computerized tomography applied to bone tissue, Opt. Express, vol.26, issue.9, p.11110, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01812632

S. Zabler, P. Cloetens, J. Guigay, J. Baruchel, and M. Schlenker, Optimization of phase contrast imaging using hard x rays, Rev. Sci. Instrum, vol.76, issue.7, p.73705, 2005.

M. Zebaze, A. Ghasem-zadeh, A. Bohte, S. Iuliano-burns, M. Mirams et al., Intracortical remodelling and porosity in the distal radius and post-mortem femurs of women: a cross-sectional study, The Lancet, vol.375, issue.9727, pp.1729-1736, 2010.

G. L. Zeng, Medical Image Reconstruction: A Conceptual Tutorial, 2010.

M. A. Zuluaga, M. Orkisz, P. Dong, A. Pacureanu, P. Gouttenoire et al., Bone canalicular network segmentation in 3D nano-CT images through geodesic voting and image tessellation, Phys. Med. Biol, vol.59, issue.9, pp.2155-2171, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00977500