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CLC number: R683

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Received: 2004-10-15

Revision Accepted: 2005-03-24

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Journal of Zhejiang University SCIENCE B 2005 Vol.6 No.9 P.926-930


A first order system model of fracture healing

Author(s):  WANG Xiao-ping, ZHANG Xian-long, LI Zhu-guo, YU Xin-gang

Affiliation(s):  School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200030, China; more

Corresponding email(s):   wxproom@sina.com, zxl40@vip.sina.com

Key Words:  First order system, Fracture healing, Stress adaptation, Simulation

WANG Xiao-ping, ZHANG Xian-long, LI Zhu-guo, YU Xin-gang. A first order system model of fracture healing[J]. Journal of Zhejiang University Science B, 2005, 6(9): 926-930.

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author="WANG Xiao-ping, ZHANG Xian-long, LI Zhu-guo, YU Xin-gang",
journal="Journal of Zhejiang University Science B",
publisher="Zhejiang University Press & Springer",

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%T A first order system model of fracture healing
%A WANG Xiao-ping
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%A LI Zhu-guo
%A YU Xin-gang
%J Journal of Zhejiang University SCIENCE B
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%DOI 10.1631/jzus.2005.B0926

T1 - A first order system model of fracture healing
A1 - WANG Xiao-ping
A1 - ZHANG Xian-long
A1 - LI Zhu-guo
A1 - YU Xin-gang
J0 - Journal of Zhejiang University Science B
VL - 6
IS - 9
SP - 926
EP - 930
%@ 1673-1581
Y1 - 2005
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.B0926

A first order system model is proposed for simulating the influence of stress stimulation on fracture strength during fracture healing. To validate the model, the diaphyses of bilateral tibiae in 70 New Zealand rabbits were osteotomized and fixed with rigid plates and stress-relaxation plates, respectively. Stress shielding rate and ultimate bending strength of the healing bone were measured at 2 to 48 weeks postoperatively. Ratios of stress stimulation and fracture strength of the healing bone to those of intact bone were taken as the system input and output. The assumed first order system model can approximate the experimental data on fracture strength from the input of stress stimulation over time, both for the rigid plate group and the stress-relaxation plate group, with different system parameters of time constant and gain. The fitting curve indicates that the effect of mechanical stimulus occurs mainly in late stages of healing. first order system can model the stress adaptation process of fracture healing. This approach presents a simple bio-mathematical model of the relationship between stress stimulation and fracture strength, and has the potential to optimize planning of functional exercises and conduct parametric studies.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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