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Preface
PDE Chemotaxis Model Formulation
Introduction
Three PDE model coordinatefree
Three PDE model formulation in spherical coordinates
Summary and conclusion
References
PDE Chemotaxis Model Implementation
Introduction
Coding of the chemotaxis model
Main program
ODE/MOL routine
Numerical, graphical output
Summary and conclusion
References
Analysis of the Chemotaxis Model Time Derivatives
Introduction
Analysis of the chemotaxis model time derivatives
Main program
ODE/MOL routine
Numerical, graphical output
Summary and conclusion
References
Analysis of the Chemotaxis PDE Model Terms
Introduction
R routines for PDE RHS, LHS terms
Main program
ODE/MOL routine
Numerical, graphical output
Summary and conclusion
References
Sensitivity Analysis of the Chemotaxis PDE Model Parameters
Introduction
R routines for Case 1
R routines for Case 2
R routines for Case 3
Summary and conclusion
References
Extensions of the Three PDE Chemotaxis Model
Introduction
PDE chemotaxis model with anti-inflammatory drug
Main program
MOL/ODE routine
Numerical, graphical output
Multicomponent extension of PDE chemotaxis model
Main program
ODE/MOL routine
Numerical, graphical output
Summary and conclusion
References
Functions dss004, dss044
dss004 listing
dss044 listing
Accuracy of Numerical PDE Solutions
h refinement
p refinement
Index