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Peer-reviewed veterinary case report

Mapping material differences in human trabecular bone models

By Zojaji M et al.·2026·Department of Mechanical and Materials Engineering, Canada·View original on Europe PMC

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Original publication title: Heterogeneous material mapping of micro-finite element models of human trabecular bone cores.

Behaviour & energy

Plain-English summary

This study looked at how different types of computer models can predict the behavior of human trabecular bone, which is the spongy part inside bones. Researchers tested two types of models: one that uses cubes (hexahedral) and another that uses more complex shapes (tetrahedral). They found that while both types of models could accurately predict the overall stiffness of the bone, the tetrahedral models were better at showing how stress and strain varied in specific areas. This means that if you need to understand how certain parts of the bone react under pressure, the tetrahedral model is the better choice, while the hexahedral model is more efficient for general predictions. Overall, the study suggests that the type of model used is more important for detailed predictions than the variations in bone material itself.

Abstract

Trabecular bone microarchitecture and tissue heterogeneity strongly influence mechanical behaviour, yet homogeneous micro-finite element (<i>µ</i>FE) models neglect tissue heterogeneity, limiting accuracy in local stress-strain predictions. This study evaluated the effects of mesh type (voxel-based linear hexahedral, HEX, vs geometry-based quadratic tetrahedral, TET), mesh resolution, and material property assignment (homogeneous vs heterogeneous) on<i>µ</i>FE predictions of apparent elastic modulus, von Mises stress, and principal strains in human femoral trabecular bone cores. Fourteen cores were micro-computed tomography scanned and meshed into HEX and TET<i>µ</i>FE models at three resolutions, with tissue modulus assigned either homogeneously or heterogeneously using trilinear interpolation from voxel-level density. Models were calibrated to experimentally measured apparent elastic modulus. All models accurately predicted apparent elastic modulus. However, mesh type and resolution substantially influenced local mechanical outcomes. Tetrahedral models produced higher local principal strains and von Mises stresses, indicating improved sensitivity to localized strain concentrations, whereas hexahedral models yielded smoother stress-strain distributions with lower peak values but greater computational efficiency. Finer meshes enhanced the resolution of local strain concentrations, while coarser meshes underestimated peak responses. Incorporating tissue heterogeneity increased local principal strains and reduced peak von Mises stresses, although differences from homogeneous models were modest. These findings demonstrate that mesh type has a stronger influence on local mechanical predictions than material heterogeneity when models are calibrated to bulk stiffness. Geometry-based tetrahedral meshes are preferable when accurate estimation of local strain concentrations is required, whereas voxel-based hexahedral meshes provide a computationally efficient alternative for bulk property prediction. This work provides practical guidance for optimizing<i>µ</i>FE modelling strategies in trabecular bone research.

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Original publication on Europe PMC: https://europepmc.org/article/MED/41946369