Schiesser W.E. Chemotaxis Modeling of Autoimmune Inflammation. PDE Computer Analysis in R

Boca Raton: CRC Press, 2023. — 152 p.PDE Chemotaxis Model FormulationThree PDE model coordinatefree
Three PDE model formulation in spherical coordinates
Summary and conclusionPDE Chemotaxis Model ImplementationCoding of the chemotaxis model
Main program
ODE/MOL routine
Numerical, graphical output
Summary and conclusionAnalysis of the Chemotaxis Model Time DerivativesAnalysis of the chemotaxis model time derivatives
Main program
ODE/MOL routine
Numerical, graphical output
Summary and conclusionAnalysis of the Chemotaxis PDE Model TermsR routines for PDE RHS, LHS terms
Main program
ODE/MOL routine
Numerical, graphical output
Summary and conclusionSensitivity Analysis of the Chemotaxis PDE Model ParametersR routines for Case 1
R routines for Case 2
R routines for Case 3
Summary and conclusionExtensions of the Three PDE Chemotaxis ModelPDE 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 conclusionFunctions dss004, dss044
dss004 listing
dss044 listing
Accuracy of Numerical PDE Solutions
h refinement
p refinement