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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.Read more
- Computer routines for the numerical solution of PDE models are methodically worked through to show readers how to execute them
- PDE methodology is illustrated through six applications in biomedical engineering, showing how computer-based PDE analysis can be implemented
- Readers will develop knowledge of calculus which can then be applied to develop their own mathematical models
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- Date Published: December 2012
- format: Hardback
- isbn: 9781107022805
- length: 430 pages
- dimensions: 258 x 178 x 24 mm
- weight: 0.99kg
- contains: 20 b/w illus. 15 tables
- availability: In stock
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.
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Instructors have used or reviewed this title for the following courses
- Advanced Computational Methods
- Biological materials, mechanics, and processes
- Biomedical Computing
- Biomedical Engineering 3
- Intro to Biosolid Mechanics
- Modeling Cellular and Molecular Systems
- Numerical Analysis in Biomedical Engineering
- Numerical Methods
- Numerical Partial Differential Equations
- Numerical Simulation of Biomedical Systems
- Partial Differential Equations
- Vascular bioengineering
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