2. 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
porosity
What is being changed?
Porosity Function
3. 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.
4. Equation 1
Where E = Young’s modulus
p= Porosity
Equation 2
Where s= Specific Area
p= Porosity
7. Physiological Change of Positive
Control
Graph of E(p) versus Specific Area Graph of E(p) versus Specific Area
(0<p<0.4) (0.4<p<1)
8. Bone is dynamic tissue that adepts its
microstructure to its physiological and
mechanical environment. (Consistent with
Wolff’s Law)
9. 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.
10. 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
11. 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
Editor's Notes
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