eBook - ePub

Chemotaxis Modeling of Autoimmune Inflammation

Name: Chemotaxis Modeling of Autoimmune Inflammation
ISBN: 9781000640328

PDE Computer Analysis in R

William Schiesser,

144 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Chemotaxis Modeling of Autoimmune Inflammation

PDE Computer Analysis in R

William Schiesser,

About this book

In response to an infection (e.g., from pathogens such as bacteria and viruses), the immune system can deplete macrophages (specialized white blood cells) and produce cytokines that are pro-inflammatory or anti-inflammatory. This counterproductive autoimmune response is represented mathematically as nonlinear chemotaxis diffusion.

This book is directed to the computer-based modeling of chemotaxis inflammation. 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 or 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) additonal terms in the PDEs to include PDE coupling and extensions of the basic PDE model.

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Yes, you can access Chemotaxis Modeling of Autoimmune Inflammation by William Schiesser in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.