Chemotaxis Modeling of Autoimmune Inflammation. PDE Computer Analysis in R

Preface
Chapter 1: PDE Chemotaxis Model Formulation
1.1. Introduction
1.2. Three PDE model coordinatefree
1.3. Three PDE model formulation in spherical coordinates
Summary and conclusion
References
Chapter 2: PDE Chemotaxis Model Implementation
2.1. Introduction
2.2. Coding of the chemotaxis model
2.2.1. Main program
2.2.2. ODE/MOL routine
2.2.3. Numerical, graphical output
Summary and conclusion
References
Chapter 3: Analysis of the Chemotaxis Model Time Derivatives
3.1. Introduction
3.2. Analysis of the chemotaxis model time derivatives
3.2.1. Main program
3.2.2. ODE/MOL routine
3.2.3. Numerical, graphical output
Summary and conclusion
References
Chapter 4: Analysis of the Chemotaxis PDE Model Terms
4.1. Introduction
4.2. R routines for PDE RHS, LHS terms
4.2.1. Main program
4.2.2. ODE/MOL routine
4.2.3. Numerical, graphical output
Summary and conclusion
References
Chapter 5: Sensitivity Analysis of the Chemotaxis PDE Model Parameters
5.1. Introduction
5.2. R routines for Case 1
5.3. R routines for Case 2
5.4. R routines for Case 3
Summary and conclusion
References
Chapter 6: Extensions of the Three PDE Chemotaxis Model
6.1. Introduction
6.2. PDE chemotaxis model with anti-inflammatory drug
6.2.1. Main program
6.2.2. MOL/ODE routine
6.2.3. Numerical, graphical output
6.3. Multicomponent extension of PDE chemotaxis model
6.3.1. Main program
6.3.2. ODE/MOL routine
6.3.3. Numerical, graphical output
Summary and conclusion
References
Appendix A1: Functions dss004, dss044
A1.1. dss004 listing
A1.2. dss044 listing
Appendix A2: Accuracy of Numerical PDE Solutions
A2.1. h refinement
A2.2. p refinement
Index