The local and global geometry of trabecular bone
| Autor: | Amir A. Zadpoor, Duncan C. Tourolle né Betts, Sebastien J.P. Callens, Ralph Müller |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Surface (mathematics)
Trabecular bone Bone disease Computer science 0206 medical engineering Biomedical Engineering Surface curvature Minkowski tensors Morphometry Anisotropy Geometry 02 engineering and technology Curvature Biochemistry Bone and Bones Biomaterials 03 medical and health sciences Bone Density Minkowski space medicine Humans Point (geometry) Molecular Biology 030304 developmental biology Physics 0303 health sciences Minimal surface Orientation (computer vision) Perspective (graphical) General Medicine X-Ray Microtomography 021001 nanoscience & nanotechnology medicine.disease 020601 biomedical engineering Bone Substitutes Cancellous Bone 0210 nano-technology Biotechnology |
| Zdroj: | Acta Biomaterialia, 130 |
| ISSN: | 1742-7061 1878-7568 |
| Popis: | The organization and shape of the microstructural elements of trabecular bone govern its physical properties, are implicated in bone disease, and serve as blueprints for biomaterial design. To devise fundamental structure-property relationships and design truly bone-mimicking biomaterials, it is essential to characterize trabecular bone structure from the perspective of geometry, the mathematical study of shape. Using micro-CT images from 70 donors at five different sites, we analyze the local and global geometry of human trabecular bone in detail, respectively by quantifying surface curvatures and Minkowski functionals. We find that curvature density maps provide distinct and sensitive shape fingerprints for bone from different sites. Contrary to a common assumption, these curvature maps also show that bone morphology does not approximate a minimal surface but exhibits a much more intricate curvature landscape. At the global (or integral) perspective, our Minkowski analysis illustrates that trabecular bone exhibits other types of anisotropy/ellipticity beyond interfacial orientation, and that anisotropy varies substantially within the trabecular structure. Moreover, we show that the Minkowski functionals unify several traditional morphometric indices. Our geometric approach to trabecular morphometry provides a fundamental language of shape that could be useful for bone failure prediction, understanding geometry-driven tissue growth, and the design of bone-mimicking tissue scaffolds. Statement of significance: The architecture of trabecular bone is key in determining bone properties, and is often a starting point for the design of bone-substitutes. Despite the substantial history of bone morphometry, a fundamental characterization of trabecular bone geometry is still lacking. Therefore, we introduce a robust framework to quantify local and global trabecular bone geometry, which we apply to hundreds of micro-CT scans. Our approach relies on quantifying surface curvatures and Minkowski functionals, which are the most fundamental local and global shape quantifiers. Our results show that these shape metrics are sensitive to differences between bone types and unify traditional metrics within a single mathematical framework. This geometrical framework could also be useful to design bone-mimicking scaffolds and understand geometry-driven tissue growth. Acta Biomaterialia, 130 ISSN:1742-7061 ISSN:1878-7568 |
| Databáze: | OpenAIRE |
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