Authors:
- Includes reviews of basic ordinary differential equations and modeling techniques
- Addresses MATLAB programming for students without programming experience
- Includes health topics of great public interest
- Section of solutions included at the end of the book
- Provides readers with background in numerical analysis and how they are applied in simulations of models
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Undergraduate Texts in Mathematics and Technology (SUMAT)
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Table of contents (15 chapters)
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Front Matter
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Back Matter
About this book
This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience.
The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological andbiomedical research.
Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.
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Authors and Affiliations
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Math Tower, Ohio State Univ, Columbus, USA
Ching Shan Chou
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Dept of Mathematics, Ohio State Univ, Columbus, USA
Avner Friedman
About the authors
Avner Friedman is a Distinguished University Professor at Ohio State University. He received his Ph.D. in 1956 from the Hebrew University. His research interests include partial differential equations, both general mathematical theory as well as applications to models that arise in the physical and life sciences, in engineering, and in industry.
Bibliographic Information
Book Title: Introduction to Mathematical Biology
Book Subtitle: Modeling, Analysis, and Simulations
Authors: Ching Shan Chou, Avner Friedman
Series Title: Springer Undergraduate Texts in Mathematics and Technology
DOI: https://doi.org/10.1007/978-3-319-29638-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-29636-4Published: 10 May 2016
Softcover ISBN: 978-3-319-80614-3Published: 27 May 2018
eBook ISBN: 978-3-319-29638-8Published: 27 April 2016
Series ISSN: 1867-5506
Series E-ISSN: 1867-5514
Edition Number: 1
Number of Pages: VII, 172
Number of Illustrations: 11 b/w illustrations, 38 illustrations in colour
Topics: Mathematical and Computational Biology, Mathematical Applications in the Physical Sciences, Systems Biology