Mathematical Modeling of Biological Processes
This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics
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Avner Friedman Chiu-Yen Kao
Mathematical Modeling of Biological Processes
Lecture Notes on Mathematical Modelling in the Life Sciences
For further volumes: http://www.springer.com/series/10049
Avner Friedman
•
Chiu-Yen Kao
Mathematical Modeling of Biological Processes
123
Avner Friedman Department of Mathematics The Ohio State University Columbus, OH, USA
Chiu-Yen Kao Department of Mathematical Sciences Claremont McKenna College Claremont, CA, USA
ISSN 2193-4789 ISSN 2193-4797 (electronic) ISBN 978-3-319-08313-1 ISBN 978-3-319-08314-8 (eBook) DOI 10.1007/978-3-319-08314-8 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014945230 Mathematics Subject Classification: 35Q92, 37N25, 92C17, 92-01, 97M60, 92C50 © Springer International Publishing Switzerland 2014
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Contents Chapter 1.
Introduction
Chapter 2. 2.1. 2.1.1.
Chemical Kinetics and Enzyme Dynamics Introduction to MATLAB Basic Arithmetic Operations, Creating Variables, and Calling Functions Vector and Matrix Calculations Symbolic Calculation
10 12 15
Chapter 3. 3.1. 3.2. 3.2.1. 3.2.2. 3.2.3.
Ordinary Differential Equations Cancer Model Root-Finding Algorithms Bisection Method Newton’s Method Built-In MATLAB
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