Partial Differential Equation Analysis in Biomedical Engineering : Case Studies with Matlab

Aimed at graduates and researchers, this introduction to computer-based partial differential equation (PDE) modeling provides readers with the practical tools necessary to develop and use mathematical models in biomedical engineering. With step-by-step guidelines and detailed examples, the reader will learn how PDE analysis is formulated, implemented and tested.

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.