The local and global geometry of trabecular bone

• DOI: 10.1016/j.actbio.2021.06.013
• Publication Date: 2021-06-12T23:44:00Z
• Authors: Sebastien J.P. Ca...; Duncan C. Touroll...; Ralph Müller; Amir A. Zadpoor
• Keywords: Trabecular bone; 0301 basic medicine; 0303 health sciences; Morphometry; Surface curvature; Minkowski tensors; Morphometry; Trabecular bone; Anisotropy; X-Ray Microtomography; Bone and Bones; Minkowski tensors; 03 medical and health sciences; Surface curvature; Bone Density; 616; Bone Substitutes; Cancellous Bone; Humans; Anisotropy

The organization and shape of the microstructural elements trabecular bone govern its physical properties, are implicated in disease, serve as blueprints for biomaterial design. To devise fundamental structure-property relationships design truly bone-mimicking biomaterials, it is essential to characterize structure from perspective geometry, mathematical study shape. Using micro-CT images 70 donors at five different sites, we analyze local global geometry human detail, respectively by quantifying surface curvatures Minkowski functionals. We find that curvature density maps provide distinct sensitive fingerprints sites. Contrary a common assumption, these also show morphology does not approximate minimal but exhibits much more intricate landscape. At (or integral) perspective, our analysis illustrates other types anisotropy/ellipticity beyond interfacial orientation, anisotropy varies substantially within structure. Moreover, functionals unify several traditional morphometric indices. Our geometric approach morphometry provides language could be useful failure prediction, understanding geometry-driven tissue growth, scaffolds. STATEMENT OF SIGNIFICANCE: architecture key determining often starting point bone-substitutes. Despite substantial history morphometry, characterization still lacking. Therefore, introduce robust framework quantify which apply hundreds scans. relies on functionals, most quantifiers. results metrics differences between single framework. This geometrical scaffolds understand growth.