Formulation of a mathematical model for mechanical bone remodeling process

Eiichi Tanaka, Sota Yamamoto, Yoichi Aoki, Takahiro Okada, Hiroshi Yamada

Research output: Contribution to journalArticle

Abstract

This paper is concerned with the formulation of a mathematical model to describe mechanical bone remodeling process. Firstly, mechanical stimulus is defined as a function of the rate-ofdeformation power per unit mass. Physiological signal transmission processes of remodeling from the mechanical stimulus to change of bone density are described by n + 1 sequential evolution equations with n + l macroscopic internal state variables. The evolution equations are established on the basis of the experimental results in a literature. The value of the internal variable in the last step specifies the balance level of bone density, which is the target of the current bone density. The comparison of the predicted results with the corresponding experimental ones shows that this model can quantitatively describe a time-dependent process of bone remodeling.

Original languageEnglish
Pages (from-to)191-197
Number of pages7
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume66
Issue number641
Publication statusPublished - 2000
Externally publishedYes

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Bone
Mathematical models

Keywords

  • Biomechanics
  • Bone
  • Mathematical model
  • Remodeling

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)

Cite this

Formulation of a mathematical model for mechanical bone remodeling process. / Tanaka, Eiichi; Yamamoto, Sota; Aoki, Yoichi; Okada, Takahiro; Yamada, Hiroshi.

In: Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A, Vol. 66, No. 641, 2000, p. 191-197.

Research output: Contribution to journalArticle

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