Modeling of cancellous bone surface adaptation based on the 3-dimensional trabeculae topology evolution

  • Michal Nowak
Conference paper


In the paper the computer simulation model of the trabecular bone surface adaptation is presented. The base of algorithm formulation was the bone remodeling phenomenon leading to optimization of the trabecular network in the bone [1] ruled by the the strain energy density. In contrast to approaches used so far, the system proposed in this study mimics the real 3-dimensional bone geometry evolution, where not only the volumetric Finite Element Method mesh, but also the surface of trabecular network is controlled during the simulation. The computer system assumptions were presented on the ICTAM Congress last year [2]. In contrary to other voxel models, the remodeling phenomenon is simulated exactly on the analyzed structure without recalling the voxels. Adaptation to the mechanical stimula-tion results in adaptation of the surface position in the virtual space. In Figure 1 the remodeling simu-lation of the trabecular bone sample under compression is depicted.
Figure 1.

Remodeling simulation - bone sample under compression. From the left to the right side - structure adaptation.

Such approach allows to mimic in details the real biological process of bone formation and resorption. The model including the 3-dimensional trabeculae topology is simpler and closer to the real trabecular bone properties. The complex mesh control during the simulation eliminate the difficulties with the Finite Element Method computations. The possibility of use of the system in mechanical design is discussed. Some results of computations are presented.


  1. [1]
    R. Ruimerman, Modeling and remodeling in bone tissue. Eindhoven, ISBN 90-386-2856-0, 2005.Google Scholar
  2. [2]
    M. Nowak, M. Morzyński Simulation of Trabecular Bone Adaptation-Creating the optimal structure. ICTAM04 Proceedings, p.360, 21st Congress of Theoretical and Applied Mechanics,August 15-21, Warsaw, Poland, 2004.Google Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • Michal Nowak
    • 1
  1. 1.Poznan University of Technologyul. Piotrowo 3Poland

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