Partial Differential Equation Analysis in Biomedical Engineering

Case Studies with MATLAB
Erscheinungsjahr 2012
ISBN: 978-1-107-02280-5
Verlag: Cambridge University Press

Buch, Englisch, 448 Seiten, Format (B × H): 175 mm x 249 mm, Gewicht: 980 g

Aimed at graduates and researchers, and requiring only a basic knowledge of multi-variable calculus, this introduction to computer-based partial differential equation (PDE) modeling provides readers with the practical methods necessary to develop and use PDE mathematical models in biomedical engineering. Taking an applied approach, rather than using abstract mathematics, the reader is instructed through six biomedical example applications, each example characterized by step-by-step discussions of established numerical methods and implemented in reliable computer routines. Adopting this technique, the reader will understand how PDE models are formulated, implemented and tested. Supported by a set of rigorously tested general purpose PDE routines online, and with enhanced understanding through animations, this book will be ideal for anyone faced with interpreting large experimental data sets that need to be analyzed with PDE models in biomedical engineering.

Autoren/Hrsg.

Schiesser, William E.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizintechnik, Biomedizintechnik, Medizinische Werkstoffe
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Medizintechnik, Biomedizintechnik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

1. Introduction to partial differential equation integration in space and time
2. Antibody binding kinetics
3. Acid-mediated tumour growth
4. Retinal oxygen transport
5. Hemodialyzer dynamics
6. Epidermal wound healing
7. Drug distribution from a polymer matrix.

Über Autor(innen)

Schiesser, William E.
William E. Schiesser is Emeritus R. L. McCann Professor of Chemical Engineering and Professor of Mathematics at Lehigh University.