journal article·2026-07Open access

Image-guided multiscale modeling of trabecular bone: lacuna-resolved stress amplification and interaction effects

L. Clementini, L.M. Vergani, F. Buccino

Abstract

Osteocyte lacunae are ubiquitous microstructural cavities in bone that perturb local stress and strain fields, shaping the mechanical microenvironment relevant to mechanotransduction and microdamage initiation. Yet lacunar-scale mechanical fields are not directly measurable in situ, and existing numerical studies are often limited by idealized geometries, incomplete verification, generic material properties, and a lack of specimen-matched experimental validation. Here, we present an image-guided multiscale framework integrating synchrotron radiation µCT in situ compression, convolutional neural network (CNN)-based lacunar segmentation and morphometrics, inverse identification of tissue elastic properties, and µCT-driven finite element simulation with lacuna-resolved submodeling. In a human trabecular bone case study, CNN-based analysis identified 219,931 lacunae and equivalent-ellipsoid reconstruction reproduced segmented lacunar volumes with high fidelity (R² = 0.97), enabling robust population-scale shape and orientation assessment and revealing preferential alignment with the local trabecular axis. Numerical verification supported a loose-wrap hexahedral discretization and mesh convergence at h = 0.04 mm (relative discretization error of 0.35%). Specimen-specific inverse calibration reproduced the experimental linear force–displacement response (RMSE = 0.82 N). Lacuna-resolved analyses across three submodels showed localized equatorial tensile amplification (K t =1.38–1.99) governed primarily by lacunar elongation, orientation, and local stress triaxiality. These effects were captured by a compact multivariate power-law relation (R²=0.81; R L O O C V 2 =0.72). Inter-lacunar interactions decayed rapidly with distance and became negligible beyond ∼8–9 effective radii (∼23 µm), providing a scale-free isolation criterion. This experimentally calibrated and numerically verified workflow bridges specimen-scale mechanics and peri-lacunar stress fields and enables quantitative, population-scale assessment of how lacunae modulate local mechanical stimuli. Statement of Significance Osteocytes sense mechanical loading through microscopic cavities (lacunae) embedded in bone, yet the local mechanical environment around these cavities cannot be measured directly and is often oversimplified in computational studies. This work introduces a validated, image-guided multiscale framework that combines synchrotron imaging, deep-learning–based lacunar mapping, in situ mechanical testing, and specimen-calibrated finite element modeling to quantify how real lacunar shape, orientation, and spacing affect local stress amplification. Unlike previous idealized or unvalidated approaches, the method provides transferable, quantitative descriptors of lacuna-driven mechanical perturbations and defines a scale-free criterion for lacunar interaction. The framework enables population-scale assessment of osteocyte-level mechanics and offers new tools for studying bone quality, adaptation, and fragility beyond bone mass alone.
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Research context

OpenAlex topics: Bone health and osteoporosis research · Medical Imaging Techniques and Applications · Bone and Joint Diseases

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References (100+)

Show source-provided references
1. Nature’s hierarchical materials10.1016/j.pmatsci.2007.06.001 ↗
2. Inter-trabecular angle: a parameter of trabecular bone architecture in the human proximal femur that reveals underlying topological motifs10.1016/j.actbio.2016.08.040 ↗
3. Structural biological materials: critical mechanics-materials connections
4. The conflicts between strength and toughness10.1038/nmat3115 ↗
5. Bioinspired structural materials10.1038/nmat4089 ↗
6. Osteocyte-lacuna shape and canaliculi architecture dictate fluid flow around osteocyte, and strain of cell and bone matrix: implications for cell mechanobiology and bone fragility10.1016/j.bone.2025.117613 ↗
7. Determinants of bone damage: an ex-vivo study on porcine vertebrae10.1371/journal.pone.0202210 ↗
8. Down to the bone: a novel bio-inspired design concept10.3390/ma14154226 ↗
9. Bone “mass” and the “mechanostat”: a proposal10.1002/ar.1092190104 ↗
10. J. Wolff, The law of bone remodelling, the law of bone remodelling (1986). 10.1007/978-3-642-71031-5.10.1007/978-3-642-71031-5 ↗
11. The amazing osteocyte10.1002/jbmr.320 ↗
12. Osteocytes: master orchestrators of bone10.1007/s00223-013-9790-y ↗
13. Functional implications of the lacunocanalicular network structure in bone10.1302/1358-992X.2025.6.067 ↗
14. A quantitative framework for the 3D characterization of the osteocyte lacunar system10.1016/j.bone.2013.06.026 ↗
15. 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 analysis10.1007/s10237-014-0601-9 ↗
16. Advances in nanoscopic mechanobiological structure-property relationship in human bones for tailored fragility prevention
17. Fluorescent mapping of osteocyte-driven bone formation at pre-osteocyte and mature osteocyte lacunae10.1016/j.actbio.2025.09.040 ↗
18. 2D vs. 3D evaluation of osteocyte lacunae - methodological approaches, recommended parameters, and challenges: a narrative review by the european calcified tissue society (ECTS)10.1007/s11914-024-00877-z ↗
19. 3D osteocyte lacunar morphometry of human bone biopsies with high resolution microCT: from monoclonal gammopathy to newly diagnosed multiple myeloma10.1016/j.bone.2024.117236 ↗
20. A systematic study of the effect of measurement parameters on determination of osteocyte lacunar properties using laboratory X-ray micro-computed tomography10.1016/j.bone.2025.117391 ↗
21. Gradients in lacunar morphology and cartilage mineralization reflect the mechanical function of the mouse femoral head epiphysis10.1016/j.actbio.2025.06.002 ↗
22. Osteocyte lacunae in transiliac bone biopsy samples across life span10.1016/j.actbio.2022.11.051 ↗
23. Tissue strain amplification at the osteocyte lacuna: a microstructural finite element analysis10.1016/j.jbiomech.2006.10.040 ↗
24. Simulation study on parameter dependence of dynamic osteocyte response under low-magnitude high-frequency vibration10.1016/j.medengphy.2025.104307 ↗
25. Finite element dependence of stress evaluation for human trabecular bone10.1016/j.jmbbm.2012.08.012 ↗
26. Mechanosensation and transduction in osteocytes10.1016/j.bone.2012.10.013 ↗
27. A whole bone-lacunocanalicular network-osteocyte model examining bone adaptation to distinct loading parameters10.1016/j.ijmecsci.2025.109931 ↗
28. Visualization of 3D osteon morphology by synchrotron radiation micro-CT10.1111/j.1469-7580.2011.01398.x ↗
29. Enhancing synchrotron radiation micro-CT images using deep learning: an application of Noise2Inverse on bone imaging10.1107/S1600577525001833 ↗
30. Synchrotron X-ray Radiation (SXR) in medical imaging: current status and future prospects
31. A practical guide for in situ mechanical testing of musculoskeletal tissues using synchrotron tomography10.1016/j.jmbbm.2022.105297 ↗
32. Synchrotron radiation micro-CT at the micrometer scale for the analysis of the three-dimensional morphology of microcracks in human trabecular bone10.1371/journal.pone.0021297 ↗
33. 3D quantification of the lacunocanalicular network on human femoral diaphysis through synchrotron radiation-based nanoCT10.1016/j.jsb.2024.108111 ↗
34. Tetrahedral microFE models of human trabecular bone can be a valid alternative to voxel-based hexahedral models: a comparative study using an open-source workflow10.1016/j.jmbbm.2025.107326 ↗
35. Verification and validation of microcomputed tomography-based analyses of bone morphology, apparent elastic modulus, and von mises stress10.1115/1.4069110 ↗
36. Comparing the predictions of CT-based subject-specific finite element models of human metastatic vertebrae with digital volume correlation measurements10.1007/s10237-025-01950-x ↗
37. A review of in-situ mechanical testing combined with X-ray microfocus computed tomography: application and current challenges for biological tissues
38. Multifunctional in situ imaging of biological materials under load: a synchrotron-based platform for large-scale image-guided failure analysis10.1016/j.matdes.2025.114408 ↗
39. Individual component-based parameter-adaptive segmentation approach for improved segmentation of synchrotron µCT data of osteocyte lacunae in bone tissue
40. Deep learning models to map osteocyte networks from confocal microscopy can successfully distinguish between young and aged bone10.1371/journal.pcbi.1013914 ↗
41. Measurement and estimation of osteocyte mechanical strain10.1016/j.bone.2013.01.037 ↗
42. Osteocyte lacunar strain determination using multiscale finite element analysis
43. Structural role of osteocyte lacunae on mechanical properties of bone matrix: a cohesive finite element study10.1016/j.jmbbm.2021.104943 ↗
44. Computational study of the mechanical influence of lacunae and perilacunar zones in cortical bone microcracking10.1016/j.jmbbm.2021.105029 ↗
45. Multilevel finite element modeling for the prediction of local cellular deformation in bone10.1007/s10237-007-0082-1 ↗
46. Are all osteocytes equal? Multiscale modelling of cortical bone to characterise the mechanical stimulation of osteocytes10.1002/cnm.2578 ↗
47. Quantifying how altered lacunar morphology and perilacunar tissue properties influence local mechanical environment of osteocyte lacunae using finite element modeling10.1016/j.jmbbm.2022.105433 ↗
48. Strain amplification in bone mechanobiology: a computational investigation of the in vivo mechanics of osteocytes10.1098/rsif.2012.0286 ↗
49. Image-based finite element models for the investigation of osteocyte mechanotransduction10.1016/S0021-9290(12)70437-2 ↗
50. Prediction of Young’s modulus of trabeculae in microscale using macro-scale’s relationships between bone density and mechanical properties10.1016/j.jmbbm.2014.04.011 ↗
51. Effects of tissue heterogeneity on trabecular micromechanics examined by microCT-based finite element analysis and digital volume correlation
52. The effects of simvastatin on the bone microstructure and mechanics of ovariectomized mice: a micro-CT and micro-finite element analysis study10.1186/s12891-024-07860-w ↗
53. Alterations in osteocyte lacunar morphology affect local bone tissue strains10.1016/j.jmbbm.2021.104730 ↗
54. Mapping local mechanical properties of human healthy and osteoporotic femoral heads10.2139/ssrn.3878345 ↗
55. Time-resolved in situ synchrotron-microCT: 4D deformation of bone and bone analogues using digital volume correlation10.1016/j.actbio.2021.06.014 ↗
56. Assessing the intimate mechanobiological link between human bone micro-scale trabecular architecture and micro-damages10.1016/j.engfracmech.2022.108582 ↗
57. Synchrotron imaging assessment of bone quality10.1007/s12018-016-9223-3 ↗
58. On the effect of X-ray irradiation on the deformation and fracture behavior of human cortical bone10.1016/j.bone.2010.02.025 ↗
59. Characterization of the effects of x-ray irradiation on the hierarchical structure and mechanical properties of human cortical bone10.1016/j.biomaterials.2011.08.013 ↗
60. The synergy of synchrotron imaging and convolutional neural networks towards the detection of human micro-scale bone architecture and damage10.1016/j.jmbbm.2022.105576 ↗
61. Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object10.1046/j.1365-2818.2002.01010.x ↗
62. Enhanced and flexible software tools for x-ray computed tomography at the italian synchrotron radiation facility Elettra10.3233/FI-2015-1273 ↗
63. Keras
64. Large-scale osteocyte lacunar morphological analysis of transiliac bone in normal and osteoporotic premenopausal women10.1016/j.bone.2022.116424 ↗
65. Osteocyte lacuna size and shape in women with and without osteoporotic fracture10.1016/S0021-9290(03)00287-2 ↗
66. Streamlined and efficient patient-specific modeling for lumbar spine segmentation and finite element analysis10.1038/s41598-025-19664-6 ↗
67. Perspective: a method for uniform reporting of grid refinement studies10.1115/1.2910291 ↗
68. Review of code and solution verification procedures for computational simulation10.1016/j.jcp.2004.10.036 ↗
69. Verification process for finite element modeling techniques used in biological hard tissue
70. An efficient midpoint and Richardson extrapolation-based rapid quadrature for fracture problems using radial point interpolation method10.1016/j.enganabound.2025.106188 ↗
71. Shear-band cavitation determines the shape of the stress-strain curve of metallic glasses
72. A state-of-the-art survey of solid oxide fuel cell parameter identification: modelling, methodology, and perspectives10.1016/j.enconman.2020.112856 ↗
73. Type and orientation of yielded trabeculae during overloading of trabecular bone along orthogonal directions10.1016/j.jbiomech.2010.05.032 ↗
74. Influence of short-term fixation with mixed formalin or ethanol solution on the mechanical properties of human cortical bone10.1515/cdbme-2015-0083 ↗
75. Bruker, Method note MCT-001: analysis of bone by micro-CT General information, (2004) 1–41.
76. Advances in assessment of bone porosity, permeability and interstitial fluid flow10.1016/j.jbiomech.2012.10.025 ↗
77. Variation in osteocyte lacunar morphology and density in the human femur - a synchrotron radiation micro-CT study10.1016/j.bone.2012.09.010 ↗
78. Heterogeneity of bone microstructure in the femoral head in patients with osteoporosis: an ex vivo HR-pQCT study10.1016/j.bone.2013.05.019 ↗
79. Finite element analysis for prediction of bone strength10.1038/bonekey.2013.120 ↗
80. Effect of CT imaging on the accuracy of the finite element modelling in bone10.1186/s41747-020-00180-3 ↗
81. Studying trabecular bone samples demonstrates a power law relation between deteriorated structure and mechanical properties - a study combining 3D printing with the finite element method
82. Trabecular bone remodelling: finite-element simulation10.1016/j.prostr.2020.10.067 ↗
83. Effect of bisphosphonate on bone microstructure, mechanical strength in osteoporotic rats by ovariectomy10.1186/s12891-024-07846-8 ↗
84. An automated step-wise micro-compression device for 3D dynamic image-guided failure assessment of bone tissue on a microstructural level using time-lapsed tomography10.3389/fmats.2018.00032 ↗
85. Time-lapsed assessment of microcrack initiation and propagation in murine cortical bone at submicrometer resolution10.1016/j.bone.2009.04.248 ↗
86. Time-lapsed investigation of three-dimensional failure and damage accumulation in trabecular bone using synchrotron light10.1016/j.bone.2006.01.147 ↗
87. In vivo trabecular bone morphologic and mechanical relationship using high-resolution 3-T MRI10.2214/AJR.07.3528 ↗
88. Sub-trabecular strain evolution in human trabecular bone10.1038/s41598-020-69850-x ↗
89. Trabecular bone exhibits fully linear elastic behavior and yields at low strains10.1016/0021-9290(94)90053-1 ↗
90. Biomechanics of cellular solids10.1016/j.jbiomech.2004.09.027 ↗
91. Mechanisms governing the inelastic deformation of cortical bone and application to trabecular bone10.1016/j.actbio.2005.08.004 ↗
92. Time-lapsed microstructural imaging of bone failure behavior10.1016/S0021-9290(03)00254-9 ↗
93. Biomechanical behavior characterization and constitutive models of porcine trabecular tibiae
94. Shear strength behavior of human trabecular bone10.1016/j.jbiomech.2012.07.023 ↗
95. Stress concentration around an ellipsoidal cavity in an infinite body under arbitrary plane stress perpendicular to the axis of revolution of cavity10.1115/1.4009702 ↗
96. Damage-programmable design of metamaterials achieving crack-resisting mechanisms seen in nature
97. Mechanics of linear microcracking in trabecular bone10.1016/j.jbiomech.2018.11.018 ↗
98. Characterizing microcrack orientation distribution functions in osteonal bone samples10.1111/jmi.12440 ↗
99. The importance of murine cortical bone microstructure for microcrack initiation and propagation10.1016/j.bone.2011.08.011 ↗
100. Bone fracture detection through the two-stage system of Crack-sensitive convolutional neural network