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 language | English |
|---|---|
| Pages (from-to) | 191-197 |
| Number of pages | 7 |
| Journal | Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A |
| Volume | 66 |
| Issue number | 641 |
| Publication status | Published - 2000 |
| Externally published | Yes |
Fingerprint
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 journal › Article
}
TY - JOUR
T1 - Formulation of a mathematical model for mechanical bone remodeling process
AU - Tanaka, Eiichi
AU - Yamamoto, Sota
AU - Aoki, Yoichi
AU - Okada, Takahiro
AU - Yamada, Hiroshi
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
KW - Biomechanics
KW - Bone
KW - Mathematical model
KW - Remodeling
UR - http://www.scopus.com/inward/record.url?scp=77949670956&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77949670956&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:77949670956
VL - 66
SP - 191
EP - 197
JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
SN - 0387-5008
IS - 641
ER -