Cantitate/Preț
Produs

Chemotaxis Modeling of Autoimmune Inflammation: PDE Computer Analysis in R

Autor William Schiesser
en Limba Engleză Paperback – 29 iul 2024
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.

Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 39917 lei  6-8 săpt.
  CRC Press – 29 iul 2024 39917 lei  6-8 săpt.
Hardback (1) 65595 lei  6-8 săpt.
  CRC Press – 21 sep 2022 65595 lei  6-8 săpt.

Preț: 39917 lei

Preț vechi: 42018 lei
-5% Nou

Puncte Express: 599

Preț estimativ în valută:
7639 7935$ 6346£

Carte tipărită la comandă

Livrare economică 03-17 februarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781032317649
ISBN-10: 1032317647
Pagini: 152
Ilustrații: 94
Dimensiuni: 156 x 234 mm
Greutate: 0.28 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Locul publicării:Boca Raton, United States

Public țintă

Academic

Cuprins

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.

Notă biografică

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.

Descriere

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.