A computational two-scale approach to cancellous bone remodelling

  • We propose a novel two-scale (meso-macro-scale) approach to computationally capture cancellous bone remodelling allowing for efficient and effective numerical implementation. Therein, the macro-scale is governed by the well-established kinematics and kinetics of one-scale continuum bone remodelling. However, the constitutive behaviour is not postulated phenomenologically at the macro-scale, but rather follows from the meso-scale. There, for the sake of computational efficiency, the trabecular architecture is idealised as a truss network with the cross-sectional area of the trabeculae adapting to mechanical loading. Then, the meso- and the macro-scale are coupled through up- and down-scaling. Computational results on benchmark problems from bio-mechanics demonstrate that the proposed two-scale approach is effective from a modelling perspective and efficient from a computational perspective. In particular, it automatically captures anisotropy resulting from the irregular trabecular architecture at the meso-scale, and, most importantly,We propose a novel two-scale (meso-macro-scale) approach to computationally capture cancellous bone remodelling allowing for efficient and effective numerical implementation. Therein, the macro-scale is governed by the well-established kinematics and kinetics of one-scale continuum bone remodelling. However, the constitutive behaviour is not postulated phenomenologically at the macro-scale, but rather follows from the meso-scale. There, for the sake of computational efficiency, the trabecular architecture is idealised as a truss network with the cross-sectional area of the trabeculae adapting to mechanical loading. Then, the meso- and the macro-scale are coupled through up- and down-scaling. Computational results on benchmark problems from bio-mechanics demonstrate that the proposed two-scale approach is effective from a modelling perspective and efficient from a computational perspective. In particular, it automatically captures anisotropy resulting from the irregular trabecular architecture at the meso-scale, and, most importantly, enables the direct investigation of different trabecular structures at the meso-scale, thereby serving as a virtual “magnifiying glass”. As an outlook, the proposed two-scale approach to cancellous bone remodelling provides an excellent launch pad for further extension, e.g., by considering more complex trabecular architectures and/or through inclusion of micro-scale bone cellular activities.show moreshow less

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Metadaten
Author:Areti PapastavrouORCiD, Paul SteinmannORCiD, Peter PivonkaORCiD, Ina Schmidt
DOI:https://doi.org/10.1186/s40323-024-00267-1
Parent Title (English):Advanced Modeling and Simulation in Engineering Sciences
Document Type:Article
Language:English
Date of first Publication:2024/05/23
Reviewed:Begutachtet/Reviewed
Release Date:2024/06/03
Tag:Anisotropy; Cancellous bone; Computational bone remodelling; Trabecular architecture; Two-scale approach
Volume:11 (2024)
Article Number:13
Pagenumber:21
First Page:2
Last Page:21
institutes:Fakultät Maschinenbau und Versorgungstechnik
Research Themes:Gesundheit
Licence (German):Creative Commons - CC BY - Namensnennung 4.0 International
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