Chemotaxis Modeling of Autoimmune Inflammation. PDE Computer Analysis in R

Cover
	Half Title
Title Page
Copyright Page
Contents
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