Partial Differential Equation Analysis in Biomedical Engineering : Case Studies with Matlab
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.
- Electronic book text
- 05 Dec 2012
- CAMBRIDGE UNIVERSITY PRESS
- Cambridge University Press (Virtual Publishing)
- Cambridge, United Kingdom
- 20 b/w illus. 15 tables
Table of contents
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.