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Chemotaxis Modeling of Autoimmune Inflammation: PDE Computer Analysis in R book cover

1st Edition

Chemotaxis Modeling of Autoimmune Inflammation PDE Computer Analysis in R

By William Schiesser Copyright 2023
152 Pages 47 B/W Illustrations
by CRC Press

152 Pages 47 B/W Illustrations
by CRC Press

152 Pages 47 B/W Illustrations
by CRC Press
Also available as eBook on:
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... Read more

1. PDE Chemotaxis Model Formulation.  2. PDE Chemotaxis Model Implementation.  3. Analysis of the Chemotaxis Model Time Derivatives.  4. Analysis of the Chemotaxis PDE Model Terms.  5. Sensitivity Analysis of the Chemotaxis.  6. Extensions of the Three PDE Chemotaxis Model.  7. Functions dss004, dss044.  8. Accuracy of Numerical PDE Solutions.

Biography

William E. Schiesser is Emeritus McCann Professor of Computational Biomedical Engineering, Chemical and Biomolecular Engineering and Professor of Mathematics at Lehigh University. His research is directed toward numerical methods and associated software for ordinary, differential-algebraic and partial differential equations (ODE/DAE/PDEs), and the development of mathematical models based on ODE/DAE/PDEs. He is the author, coauthor or coeditor of 30+ books, and his ODE/DAE/PDE computer routines have been accessed by thousands of colleges and universities, corporations and government agencies.

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