Chemotaxis Modeling of Autoimmune Inflammation - PDE Computer Analysis in R

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 book has particular relevance to the coronavirus pandemic since long-Covid neurological impairment may be the result of brain inflammation.

List of contents

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.

About the author

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.

Summary

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 book has particular relevance to the coronavirus pandemic since long-Covid neurological impairment may be the result of brain inflammation.

Product details

• Authors: William Schiesser
• Publisher: Taylor and Francis
• Languages: English
• Product format: Paperback / Softback
• Released: 29.07.2024
• EAN: 9781032317649
• ISBN: 978-1-032-31764-9
• No. of pages: 144
• Weight: 280 g
• Illustrations: schwarz-weiss Illustrationen, Zeichnungen, schwarz-weiss, Tabellen, schwarz-weiss
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Epidemiology & medical statistics, SCIENCE / Life Sciences / Biology, MATHEMATICS / Applied, MEDICAL / Biostatistics, TECHNOLOGY & ENGINEERING / Biomedical, MATHEMATICS / Differential Equations / Partial, Biology, life sciences, Applied mathematics, Biomedical engineering, Technology, Engineering, Agriculture, Epidemiology and Medical statistics, Technology, Engineering, Agriculture, Industrial processes