Animal bone growth experiment of rapid-growing rats in different stress environment and its mathematical model

Jun Zhang, Wenzhi Zhao

Advanced Technology of Transportation Vehicle Key Laboratory of Liaoning Province, Dalian Jiaotong University, Dalian, China.
Department of Orthopaedics, The Second Affiliated Hospital of Dalian Medical University, Dalian, China.

DOI: 10.4236/jbm.2013.12005                

Abstract

The aim of this study is to explore a way that quantify the qualitative equation of bone growth and remodeling which was based on the animal Experiment of rapid-growing Rats in Different Stress Environment. These results were proved to be of good stability and identification precision with the numerical method of inversion. It suggested that the growing coefficient and the threshold in function were variables changing with time and space. The idea and method used in the research of bone growth and remodeling adaptation in this paper also provided clue and reference to establish other models for living system.

Keywords

Bone Growth Equation; Parameter Identification; Animal Experiment; Bone Mineral Density

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Feng, Y.Z. (1983) Biomechanics brief. Science Press, Beijing. (in Chinese)
[2]	Wang, D.G. (2001) Nonlinear inversion algorithms and applications, doctoral dissertation of Dalian University of Technology. Dalian University of Technology Press, Dalian. (in Chinese)
[3]	Wolff, J. (1884) Das Gesetz der transformation der inneren architectur der knochen bei pathologischen ver?nderungen der ?usseren knochenform. Sitzg. Physik-Math, Klausuren, Sitz. Ber. Press, Berlin.
[4]	Tao, Z.L. (1996) Relationship between growth and stress-one prospect of biomechanics, advances of biomechanics. 5th Science Congress of Biomechanics, Chengdu University of Technique Press, Chengdu, 15-17. (in Chinese)
[5]	Wang, D.G., Liu, Y.X. and Li, S.J. (2003) Summaries of elastic mechanics inversion method. Advances of Mechanics, 2, 166-174. (in Chinese)
[6]	Huiskes, R., Weinans, H.J., Grootenboer, H.J., et al. (1987) Adaptive bone remodeling rheory applied to prosthetic-design analysis. Biomechanics, 20, 1135. http://dx.doi.org/10.1016/0021-9290(87)90030-3
[7]	Chinese Academy of Sciences (2000) Report on science development. Science Press, Beijing. (in Chinese)
[8]	Danielsen, C.C. (1993) Cortical bone mass, composition, and mechanical properties in female rats in relation to age, long-term ovariectomy, and estrogen substitution. Calci- fied Tissue International, 52, 26. http://dx.doi.org/10.1007/BF00675623
[9]	Zhu, X.H., He, G., Zhu, D., et al. (2002) A study of the effect of non-linearities in the equation of bone remodeling. Journal of Biomechanics, 7, 951-960 http://dx.doi.org/10.1016/S0021-9290(02)00028-3
[10]	Zhao, W.Z., Liu, Y.X., Zhang, J., et al. (2003) Biomechanical analysis of internal implant failure after internal fixation of compressing steel plate. Journal of Medical Biomechanics, 18, 50-53. (in Chinese)
[11]	Lin, Y.J., Yang, J.W., Chen, J., et al. (2000) Kinesiatrics for osteoporosis. Physical Medicine and Rehabilitation of Foreign Medicine, 20, 97-101. (in Chinese)