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2-D Bone Structure Prediction of Proximal Femur and Dominant Joint Load Estimation using Level Set Method and Bone RemodelingTheories

Keivan Bahari, Mahsa | 2009

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 39396 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Farahmand, Farzam; Movahhedy, Mohammad Reza; Rouhi, Gholamreza
  7. Abstract:
  8. Bones adapt their form and structure to make an efficient use of their mass against the applied mechanical loads. So, it is not surprising to assume that the geometry and density distribution of a bone contains information about its loading history. The objective of this work was to develop a framework to simulate the bone remodeling procedure as a topology optimization process and then use this framework to develop a simple technique for estimating the dominant joint loads based on the bone’s density distribution.
    At first, the remodeling equation was derived from the structural optimization task of minimizing the strain energy in each time step, using the level set method. Employment of level set method allowed the internal and external bone remodeling processes to be simulated simultaneously. The results of the bone remodeling simulation showed a good agreement with the natural density of the proximal femur.
    At the next stage, by solving the inverse of remodeling equations, the strain energy density was determined. Finally, the dominant loads were estimated via optimization procedure using genetic algorithm method. First, this algorithm was applied to a two-dimensional finite element model of the proximal femur. A simple load set was incorporated in a bone adaptation simulation procedure to generate a primary density distribution. Then the density-based load estimation method was used to check if the same loading condition is predicted. At the final step, we were used the CT image of proximal femur to find the actual density distribution and the algorithm was used to predict the real dominant loads. The results were compared with experimental results and showed a good accordance
  9. Keywords:
  10. Genetic Algorithm ; Level Set Method ; Bone Remodeling ; Joint Load ; Proximal Femur

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