Simulation of Bone Fracture Healing by the Complex System Rule

복잡계를 응용한 인체 골절치료 모델링과 해석에 관한 연구

  • 문병영 (부산대학교 항공우주공학과) ;
  • 박정홍 (부산대학교 대학원 기계설계)
  • Published : 2003.12.01

Abstract

The bone fracture healing is simulated by using one of the complex system rules, named cellular automata method. It is assumed that each cell has property of Bone, Cartilage or Fibrous connective tissue. Nine local rules are adopted to change the property of each cell against the mechanical stimulus, which consists of the strain energy density, and the existence of bone in the surroundings. Two dimensional sheep metatarsal model is considered and the bone fracture healing is simulated. The simulation results agree well with those obtained by using fuzzy logic model and experimental data. The cellular automata method found to be one of the simulation methods to express the bone fracture healing. The cellular automata method is expected to be effective in representing biological phenomenon.

Keywords

References

  1. Carter, D.R., Blenman, P.R. and Beaupre, G.S., 'Correlations between mechanical stress history and tissue differentiation in initial fracture healing,' J. of Orthopaedics Research, Vol. 6, pp. 736-748, 1988 https://doi.org/10.1002/jor.1100060517
  2. Carter, D.R., Beaupre, G.S., Giori, N.J. and Helms, A., 'Mechanobiology of skeletal regeneration,' Clinical Orthopaedics, S355, pp. 41-55, 1998
  3. Bleman, P.R., Carter, D.R. and Beaupre, G.S., 'Role of mechanical loading in progressive ossification of a fracture callus,' J. of Orthopaedic Research, Vol. 7, pp. 398-407, 1989 https://doi.org/10.1002/jor.1100070312
  4. Prendergast, P.J., Huiskes, R. and Soballe, K., 'Biophysical stimuli on cells during tissue differentiation at implant interfaces,' J. of Biomechanics, Vol. 6, pp. 539-548, 1997 https://doi.org/10.1016/S0021-9290(96)00140-6
  5. Claes, L.E., Heigele, C.A., Neidlinger-Wilke, C., Kasper, D., Seidl, W., Margevicius, K.J. and Augat, P., 'Effects of mechanical factors on the fracture healing process,' Clinical Orthopaedics, S355, pp. 132-147, 1998
  6. Claes, L.E. and Heigele, C.A., 'Magnitudes of local stress and strain along bony surfaces predict the course and type of fracture healing,' J. of Biomechanics, Vol. 32, pp. 255-266, 1999 https://doi.org/10.1016/S0021-9290(98)00153-5
  7. Ament, Ch. and Hofer, E,P., 'A fuzzy logic model of fracture healing,' J. of Biomechanics, Vol. 33, pp. 961-968, 2000 https://doi.org/10.1016/S0021-9290(00)00049-X
  8. Shozo K., Kazunori K., Takuzo I., Mitsumasa M. and Masahiro K., 'Adaptive bone remodeling simulation by using Cellular Automata,' Proceeding of International Society of Biomechanics XVIII-th Congress, pp. 121-127, 2001
  9. Orr, T.E., Beaupre, G.S., Carter, D.R. and Schurman, D.J., 'Computer predictions of bone remodeling around porus-coated implants,' J. of Arthroplasty, Vol. 5, No. 3, pp. 191-200, 1990
  10. 田中英一, 白鳥 誠, 今木 圭, 井上英則 and 大森和夫, '下瑞腰推 ッステムの有限腰素應力解釋,' 日本機械學會論文集(A 編), Vol. 62, No. 600, pp. 1944-1950, 1996