Journal of Bone and Mineral Metabolism

, Volume 23, Issue 1, pp 1–7

Computer-simulated bone architecture in a simple bone-remodeling model based on a reaction-diffusion system

  • Ken-ichi Tezuka
  • Yoshitaka Wada
  • Akiyuki Takahashi
  • Masanori Kikuchi
ORIGINAL ARTICLE

DOI: 10.1007/s00774-004-0533-z

Cite this article as:
Tezuka, K., Wada, Y., Takahashi, A. et al. J Bone Miner Metab (2005) 23: 1. doi:10.1007/s00774-004-0533-z

Abstract

Bone is a complex system with functions including those of adaptation and repair. To understand how bone cells can create a structure adapted to the mechanical environment, we propose a simple bone remodeling model based on a reaction-diffusion system influenced by mechanical stress. Two-dimensional bone models were created and subjected to mechanical loads. The conventional finite element method (FEM) was used to calculate stress distribution. A stress-reactive reaction-diffusion model was constructed and used to simulate bone remodeling under mechanical loads. When an external mechanical stress was applied, stimulated bone formation and subsequent activation of bone resorption produced an efficient adaptation of the internal shape of the model bone to a given stress, and demonstrated major structures of trabecular bone seen in the human femoral neck. The degree of adaptation could be controlled by modulating the diffusion constants of hypothetical local factors. We also tried to demonstrate the deformation of bone structure during osteoporosis by the modulation of a parameter affecting the balance between formation and resorption. This simple model gives us an insight into how bone cells can create an architecture adapted to environmental stress, and will serve as a useful tool to understand both physiological and pathological states of bone based on structural information.

Key words

Mechanical loading Bone remodeling Reaction-diffusion model Finite element method Osteoporosis 

Copyright information

© Springer-Verlag Tokyo 2005

Authors and Affiliations

  • Ken-ichi Tezuka
    • 1
  • Yoshitaka Wada
    • 2
  • Akiyuki Takahashi
    • 3
  • Masanori Kikuchi
    • 3
  1. 1.Department of Tissue and Organ DevelopmentGifu University Graduate School of MedicineGifuJapan
  2. 2.Department of Mechanics and Systems DesignTokyo University of ScienceChinoJapan
  3. 3.Department of Science and TechnologyTokyo University of ScienceNodaJapan

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