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Model. and Simul. in Eng. Sci."],"abstract":"<jats:title>Abstract<\/jats:title><jats:p>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 \u201cmagnifiying glass\u201d. 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.<\/jats:p>","DOI":"10.1186\/s40323-024-00267-1","type":"journal-article","created":{"date-parts":[[2024,5,23]],"date-time":"2024-05-23T19:01:46Z","timestamp":1716490906000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A computational two-scale approach to cancellous bone remodelling"],"prefix":"10.1186","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1490-947X","authenticated-orcid":false,"given":"Paul","family":"Steinmann","sequence":"first","affiliation":[]},{"given":"Ina","family":"Schmidt","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9183-530X","authenticated-orcid":false,"given":"Peter","family":"Pivonka","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4541-6208","authenticated-orcid":false,"given":"Areti","family":"Papastavrou","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,5,23]]},"reference":[{"key":"267_CR1","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1016\/j.jtbi.2012.04.019","volume":"307","author":"PR Buenzli","year":"2012","unstructured":"Buenzli PR, Pivonka P, Gardiner BS, Smith DW. 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