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Partial differential equation analysis in biomedical engineering : case studies with MATLAB / William E. Schiesser.

By: Material type: TextTextPublisher: Cambridge : Cambridge University Press, 2013Description: 1 online resource (x, 422 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781139137096 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 610.28 23
LOC classification:
  • R857.M34 S35 2013
Online resources:
Contents:
Introduction to partial differential equation integration in space and time -- Antibody binding kinetics -- Acid-mediated tumor growth -- Retinal O2 transport -- Hemodialyzer dynamics -- Epidermal wound healing -- Drug distribution from a polymer matrix.
Summary: 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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction to partial differential equation integration in space and time -- Antibody binding kinetics -- Acid-mediated tumor growth -- Retinal O2 transport -- Hemodialyzer dynamics -- Epidermal wound healing -- Drug distribution from a polymer matrix.

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.

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