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Method of Lines PDE Analysis in Biomedical Science and Engineering

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Method of Lines PDE Analysis in Biomedical Science and Engineering

William E. Schiesser (Gebundene Ausgabe, Englisch)

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Beschreibung

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 a consistent and comprehensive format. First, each chapter begins by presenting the model as an ordinary differential equation (ODE)/PDE system, including the initial and boundary conditions. Next, the programming of the model equations is introduced through a series of R routines that primarily implement MOL for PDEs. Subsequently, the resulting numerical and graphical solution is discussed and interpreted with respect to the model equations. Finally, each chapter concludes with a review of the numerical algorithm performance, general observations and results, and possible extensions of the model. Method of Lines PDE Analysis in Biomedical Science and Engineering also includes: * 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 Method of Lines PDE Analysis in Biomedical Science and Engineering is an introductory reference for researchers, scientists, clinicians, medical researchers, mathematicians, statisticians, chemical engineers, epidemiologists, and pharmacokineticists as well as anyone interested in clinical applications and the interpretation of experimental data with differential equation models. The book is also an ideal textbook for graduate-level courses in applied mathematics, BMSE, biology, biophysics, biochemistry, medicine, and engineering. Weniger zeigen

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Produktinformationen

Technische Daten

Erscheinungsdatum

17.06.2016

Sprache

Englisch

EAN

9781119130482

Herausgeber

John Wiley & Sons

Sonderedition

Nein

Autor

William E. Schiesser

Seitenanzahl

370

Einbandart

Gebundene Ausgabe

Einbandart Details

Fadenbindung

Autorenporträt

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 Applications with R and Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R, both published by Wiley.

Schlagwörter

Biomedical Engineering, Biomedizin, Biomedizintechnik, Chemie, Chemistry, Computational Bioengineering, Differential Equations, Differentialgleichung, Differentialgleichungen, Mathematics, Mathematics & Statistics for Chemistry, Mathematik, Mathematik u. Statistik i. d. Chemie, Rechnergestütztes Bioengineering

Thema-Inhalt

PBKJ - Differentialrechnung und -gleichungen

Höhe

236 mm

Breite

16.1 cm

Hersteller: Wiley, Boschstrasse 12, Weinheim, Deutschland, 69469, product_safety@wiley.com, Wiley-VCH GmbH

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