The mechanical heterogeneity of the hard callus influences local tissue strains during bone healing: A finite element study based on sheep experiments

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • Andreas Vetter - , Max Planck Institute of Colloids and Interfaces (Author)
  • Yifei Liu - , Max Planck Institute of Colloids and Interfaces (Author)
  • Florian Witt - , Charité – Universitätsmedizin Berlin (Author)
  • Inderchand Manjubala - , Max Planck Institute of Colloids and Interfaces (Author)
  • Oliver Sander - , Free University of Berlin (Author)
  • Devakara Epari - , Queensland University of Technology (Author)
  • Peter Fratzl - , Max Planck Institute of Colloids and Interfaces (Author)
  • Georg Duda - , Charité – Universitätsmedizin Berlin (Author)
  • Richard Weinkamer - , Max Planck Institute of Colloids and Interfaces (Author)

Abstract

During secondary fracture healing, various tissue types including new bone are formed. The local mechanical strains play an important role in tissue proliferation and differentiation. To further our mechanobiological understanding of fracture healing, a precise assessment of local strains is mandatory. Until now, static analyses using Finite Elements (FE) have assumed homogenous material properties. With the recent quantification of both the spatial tissue patterns (Vetter et al., 2010) and the development of elastic modulus of newly formed bone during healing (Manjubala et al., 2009), it is now possible to incorporate this heterogeneity. Therefore, the aim of this study is to investigate the effect of this heterogeneity on the strain patterns at six successive healing stages.

The input data of the present work stemmed from a comprehensive cross-sectional study of sheep with a tibial osteotomy (Epari et al., 2006). In our FE model, each element containing bone was described by a bulk elastic modulus, which depended on both the local area fraction and the local elastic modulus of the bone material. The obtained strains were compared with the results of hypothetical FE models assuming homogeneous material properties.

The differences in the spatial distributions of the strains between the heterogeneous and homogeneous FE models were interpreted using a current mechanobiological theory (Isakson et al., 2006). This interpretation showed that considering the heterogeneity of the hard callus is most important at the intermediate stages of healing, when cartilage transforms to bone via endochondral ossification.

Details

Original languageEnglish
Pages (from-to)517-523
JournalJournal of Biomechanics
Volume44
Issue number3
Publication statusPublished - 3 Feb 2011
Peer-reviewedYes
Externally publishedYes

External IDs

Scopus 78651467803
ORCID /0000-0003-1093-6374/work/146644825