245 10 |a Chemotaxis modeling of autoimmune inflammation : |b PDE computer analysis in R / |c William E. Schiesser.

520 __ |a "This book is directed to the computer-based modeling of chemotaxis inflammation, typically resulting from an infection by a pathogen (e.g., bacteria, viruses). The spatiotemporal analysis is based on a model of three partial differential equations (PDEs). The three PDE model is coded (programmed) as a set of routines in R, a quality, open source, scientific programming system. The numerical integration (solution) of the PDEs is by the method of lines (MOL). The three PDE model can be used for computer-based experimentation, for example, parameter variation and changes in the model equations of alternate models, to enhance a quantitative understanding of a postulated inflammation. This experimentation is illustrated by chapters pertaining to (1) the computation and display of the PDE time derivatives, (2) the RHS terms of the PDEs with emphasis on the chemotaxis terms, (3) parameter variations to demonstrate parameter effects and sensitivities and (4) additional items in the PDEs to include PDE coupling and extensions of the basic PDE model. The book has particular relevance to the corona virus pandemic since long-Covid neurological impairment may be the result of brain inflammation"-- |c Provided by publisher.