Method of Lines PDE Analysis in Biomedical Science and Engineering
William E. Schiesser
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Description for Method of Lines PDE Analysis in Biomedical Science and Engineering
Hardback. Num Pages: 370 pages, illustrations. BIC Classification: PBKJ; TBC; TCB. Category: (P) Professional & Vocational. Dimension: 236 x 161 x 26. Weight in Grams: 660.
Presents the methodology and applications of ODE and PDE models within biomedical science and engineering
With an emphasis on the method of lines (MOL) for partial differential equation (PDE) numerical integration, Method of Lines PDE Analysis in Biomedical Science and Engineering demonstrates the use of numerical methods for the computer solution of PDEs as applied to biomedical science and engineering (BMSE). Written by a well-known researcher in the field, the book provides an introduction to basic numerical methods for initial/boundary value PDEs before moving on to specific BMSE applications of PDEs.
Featuring a straightforward approach, the book’s chapters follow ... Read more
- Examples of MOL analysis of PDEs, including BMSE applications in wave front resolution in chromatography, VEGF angiogenesis, thermographic tumor location, blood-tissue transport, two fluid and membrane mass transfer, artificial liver support system, cross diffusion epidemiology, oncolytic virotherapy, tumor cell density in glioblastomas, and variable grids
- Discussions on the use of R software, which facilitates immediate solutions to differential equation problems without having to first learn the basic concepts of numerical analysis for PDEs and the programming of PDE algorithms
- A companion website that provides source code for the R routines
Product Details
Format
Hardback
Publication date
2016
Publisher
John Wiley & Sons Inc United States
Number of pages
370
Condition
New
Number of Pages
370
Place of Publication
New York, United States
ISBN
9781119130482
SKU
V9781119130482
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About William E. Schiesser
William E. Schiesser, PhD, ScD (hon.), is Emeritus McCann Professor of Biomolecular and Chemical Engineering and Professor of Mathematics at Lehigh University. His research interests include numerical software; ordinary, differential algebraic, and partial differential equations; and computational mathematics. Dr. Schiesser is the author or coauthor of fifteen books, including Differential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation ... Read more
Reviews for Method of Lines PDE Analysis in Biomedical Science and Engineering
"This book demonstrates the use of numerical methods for the computer solution of partial differential equations (PDEs) as applied to biomedical science and engineering...The book is worth reading not only for mathematicians but also for, e.g., chemical engineers, medical researchers, clinicians, epidemiologists and statisticians." (Mathematical Reviews/MathSciNet June 2017)