DOI QR코드

DOI QR Code

A Simulation Method for Bone Growth Using Design Space Optimization

설계공간 최적화를 이용한 뼈 성장 모사

  • 장인권 (한국과학기술원 기계공학과) ;
  • 곽병만 (한국과학기술원 기계공학과)
  • Published : 2006.06.01

Abstract

Bone fracture healing is one of the important topics in biomechanics, demanding computation simulations due to the difficulty of obtaining experimental or clinical results. In this study, we adopt the design space optimization method which was established by the authors as a tool for the simulation of bone growth using its evolutionary characteristics. As the mechanical stimulus, strain energy density is used. We assume that bone tissues over a threshold strain energy density will be differentiated and bone tissues below another threshold will be resorbed. Under compression and torsion as loadings, the filling process of the defect is well illustrated following the given mechanical criterion. It is shown that the design space optimization is an excellent tool for simulating the evolutionary process of bone growth, which has not been possible otherwise.

Keywords

Design space Optimization;Finite Element Method;Bone Fracture;Bone Growth Simulation

References

  1. Sandberg, M. M. et al., 1993, 'Gene Expression During Bone Repair,' Clinical Orthopaedics and Related Research, pp. 289-292
  2. Carter, D. R. et al., 1988, 'Correlations Between Mechanical Stress History and Tissue Differentiation in Initial Fracture Healing,' Journal of Orthopaedic Research, Vol. 6. pp. 736-748 https://doi.org/10.1002/jor.1100060517
  3. Blenman, P. R. et al., 1989, 'Role of Mechanical 'Loading in the Progressive Ossification of a Fracture Callus,' Journal of Orthopaedic Research, Vol. 7. pp. 398-407 https://doi.org/10.1002/jor.1100070312
  4. Claes, L. E. and Heigele, C. A., 1999, 'Magnitudes of Local Stress and Strain Along Bony Surfaces Predict the Course and Type of Fracture Healing,' Journal of Biomechanics, Vol. 32, pp. 255-266 https://doi.org/10.1016/S0021-9290(98)00153-5
  5. Gardner, T. N. et al., 2000, 'The Influence of Mechanical Stimulus on the Pattern of Tissue Differentiation in a Long Bone Fracture-an FEM Study,' Journal of Biomechanics, Vol. 33, pp. 415-425 https://doi.org/10.1016/S0021-9290(99)00189-X
  6. Ament, C. H. and Hofer, E. P., 2000, 'A fuzzy Logic Model of Fracture Healing,' Journal of Biomechanics, Vol.33, pp. 961-968 https://doi.org/10.1016/S0021-9290(00)00049-X
  7. Kim, I. Y. and Kwak, RM., 2002, 'Design Space Optimization Using a Numerical Design Continuation Method,' International Journal for Numerical Methods in Engineering, Vol. 53, pp. 1979-2002 https://doi.org/10.1002/nme.369
  8. Jang, I. G. and Kwak, B. M., 2005, 'Evolutionary Topology Optimization Using Design Space Adjustment Based on Fixed Grid,' International Journal for Numerical Methods in Engineering, Accepted for publication
  9. Jang, I. G. and Kwak, R. M., 2005, 'Evolutionary Topology Optimization for Large-Scale Problems Using Design Space Adjustment and Refinement,' Proc. of the 6th WCSMO Conference, Rio De Janeiro, Brazil