- AutorIn
- Prof. Dr. Sebastian Aland Hochschule für Technik und Wirtschaft Dresden
- Florian StengerInstitut für Wissenschaftliches Rechnen, Technische Universität Dresden
- Robert MüllerCenter for Information Services and High Performance Computing, Technische Universität Dresden
- Andreas Deutsch
- Prof. Dr. Axel Voigt
- Titel
- A phase field approach to trabecular bone remodeling
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:520-qucosa2-781931
- Quellenangabe
- Frontiers in Applied Mathematics and Statistics
Erscheinungsjahr: 2020
Jahrgang: 6
Heft: 12
E-ISSN: 2297-4687 - Erstveröffentlichung
- 2020
- Abstract (EN)
- We introduce a continuous modeling approach which combines elastic response of the trabecular bone structure with the concentration of signaling molecules within the bone and a mechanism for concentration dependent local bone formation and resorption. In an abstract setting bone can be considered as a shape changing structure. For similar problems in materials science phase field approximations have been established as an efficient computational tool. We adapt such an approach for trabecular bone remodeling. It allows for a smooth representation of the trabecular bone structure and drastically reduces computational costs if compared with traditional micro finite element approaches. We demonstrate the advantage of the approach within a minimal model. We quantitatively compare the results with established micro finite element approaches on simple geometries and consider the bone morphology within a bone segment obtained from micro-CT data of a sheep vertebra with realistic parameters.
- Andere Ausgabe
- Erstveröffentlichung in Frontiers in Applied Mathematics and Statistics, 2020 (6),12, eISSN 2297-4687
DOI: https://doi.org/10.3389/fams.2020.00012 - Freie Schlagwörter (EN)
- bone remodeling; phase-field model
- Klassifikation (DDC)
- 620
- Klassifikation (RVK)
- UQ 8050
- Verlag
- Frontiers Media SA, Lausanne, Schweiz
- Förder- / Projektangaben
- Deutsche Forschungsgemeinschaft (DFG)
SFB/TRR 79 - Version / Begutachtungsstatus
- angenommene Version / Postprint / Autorenversion
- URN Qucosa
- urn:nbn:de:bsz:520-qucosa2-781931
- Veröffentlichungsdatum Qucosa
- 24.02.2022
- Dokumenttyp
- Artikel
- Sprache des Dokumentes
- Englisch
- Lizenz / Rechtehinweis
- CC BY 4.0