1)The original article proposes that the mechanical damage fatigue dynamics be coupled with bone cell activities in creating bone remodeling models.2) For this project, the modulus of elasticity as a function of surface area is being modeled.
Both polynomial equations were obtained from experimental data.Porosity is from 0-1, where 0 is completely solid and 1 is completely hollow
Biomechanical bone remodeling
Chun Hoe Ong 11/12/2012 BIEN 430
Mechanical damage fatigue dynamics coupled with bone cell activities in creating bone remodeling models.What is being modeled? The modulus of elasticity as a function of porosityWhat is being changed? Porosity Function
Matlab Matlab: used as the primary means of recreating the positive control model. Microsoft Excel Excel: used to validate Matlab’s plots and to recreate equations.
Equation 1 Where E = Young’s modulus p= Porosity Equation 2 Where s= Specific Area p= Porosity
Positive ControlPlot of Elastic Modulus versus Porosity Plot of Specific Area versus Porosity
Physiological Change of Positive ControlGraph of E(p) versus Specific Area Graph of E(p) versus Specific Area(0<p<0.4) (0.4<p<1)
Bone is dynamic tissue that adepts its microstructure to its physiological and mechanical environment. (Consistent with Wolff’s Law)
The original model allows us to determine the optimal porosity to obtain the maximum elastic modulus. Can be used to study long-term effects of mechanical damage on bone recovery. Provides a method of predicting when a bone might fracture.
Can be used in combination of finite element code to asses strategies for knee replacement.Significance of New Model Provides a more accurate method of analyzing bone fractures Demonstrates the effects of change in specific area on the elastic modulus of bone. Allows for a better prediction of bone recovery rate
Unexpected Results The modulus of elasticity began to increase as the surface area increased beyond 2.6m-1 for porosity> 0.4 The exponential increase of the Young’s modulus once the surface area increased beyond 2.6m-1 for porosity> 0.4