Can a continuous mineral foam explain the stiffening of aged bone tissue? A micromechanical approach to mineral fusion in musculoskeletal tissues

Penta, R. , Raum, K., Grimal, Q., Schrof, S. and Gerisch, A. (2016) Can a continuous mineral foam explain the stiffening of aged bone tissue? A micromechanical approach to mineral fusion in musculoskeletal tissues. Bioinspiration and Biomimetics, 11(3), 035004. (doi: 10.1088/1748-3190/11/3/035004) (PMID:27194094)

Abstract

Recent experimental data revealed a stiffening of aged cortical bone tissue, which could not be explained by common multiscale elastic material models. We explain this data by incorporating the role of mineral fusion via a new hierarchical modeling approach exploiting the asymptotic (periodic) homogenization (AH) technique for three-dimensional linear elastic composites. We quantify for the first time the stiffening that is obtained by considering a fused mineral structure in a softer matrix in comparison with a composite having non-fused cubic mineral inclusions. We integrate the AH approach in the Eshelby-based hierarchical mineralized turkey leg tendon model (Tiburtius et al 2014 Biomech. Model. Mechanobiol. 13 1003–23), which can be considered as a base for musculoskeletal mineralized tissue modeling. We model the finest scale compartments, i.e. the extrafibrillar space and the mineralized collagen fibril, by replacing the self-consistent scheme with our AH approach. This way, we perform a parametric analysis at increasing mineral volume fraction, by varying the amount of mineral that is fusing in the axial and transverse tissue directions in both compartments. Our effective stiffness results are in good agreement with those reported for aged human radius and support the argument that the axial stiffening in aged bone tissue is caused by the formation of a continuous mineral foam. Moreover, the proposed theoretical and computational approach supports the design of biomimetic materials which require an overall composite stiffening without increasing the amount of the reinforcing material.

• Item Type: Articles
• Additional Information: This work was supported by the DFG priority program SPP 1420, project GE 1894/3 and RA 1380/ 7 Multiscale structure-functional modeling of musculoskeletal mineralized tissues, PIs Alf Gerisch and Kay Raum.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Penta, Dr Raimondo
• Authors: Penta, R., Raum, K., Grimal, Q., Schrof, S., and Gerisch, A.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Bioinspiration and Biomimetics
• Publisher: IOP Publishing
• ISSN: 1748-3182
• ISSN (Online): 1748-3190
• Published Online: 19 March 2016
• Copyright Holders: Copyright © 2016 IOP Publishing Ltd
• First Published: First published in Bioinspiration and Biomimetics 1193):035004
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher.