PDE Modeling of Tissue Engineering and Regenerative Medicine

1. One PDE Stem Cell Model

1) Introduction

1.1) O2 transfer, 1D cylindrical coordinates

1.2) O2 transfer, 2D cylindrical coordinates

1.3) Summary and conclusions

2. Implementation of the One PDE Model

2) Introduction

2.1) 1D PDE model implementation

2.1.1) Main program, test cases

2.1.2) ODE/MOL routine

2.1.3) Numerical, graphical output

2.1.4) Main program, application

2.1.5) ODE/MOL routine

2.1.6) Numerical, graphical output

2.2) Summary and conclusions

3. 2D PDE Model Implementation

3) Introduction

3.1) 2D PDE model implementation

3.1.1) Main program, test cases

3.1.2) ODE/MOL routine

3.1.3) Numerical, graphical output

3.1.4) Main program, application

3.1.5) ODE/MOL routine

3.1.6) Numerical, graphical output}

3.2) Summary and Conclusions

4. Two PDE Model Formulation

4) Introduction

4.1) Coding of six PDE model

4.1.1) Main program, test cases

4.1.2) ODE/MOL routine

4.1.3) Numerical, graphical output

4.1.4) Main program, application

4.1.5) ODE/MOL routine

4.1.6) Numerical, graphical output

4.2) Summary and conclusions

5. Stem Cell Metabolism and Differentiation

5) Introduction

5.1) Metabolism

5.2) Differentiation

5.3) Implementation of metabolism and differentiation model

5.3.1) Main program

5.3.2) ODE/MOL routine

5.3.3) Numerical, graphical output

5.4) Summary and conclusions