Springer Undergraduate Texts in Mathematics and Technology

Introduction to Mathematical Biology

Modeling, Analysis, and Simulations

Authors: Chou, Ching Shan, Friedman, Avner

  • 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
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eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-319-29638-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-319-29636-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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 and biomedical 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.

About the authors

Ching-Shan Chou is an Associate Professor in the Department of Mathematics at Ohio State University.  She received her Ph.D. in the area of applied mathematics from Brown University.  She is currently working in the area of computational and mathematical biology.
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.

Reviews

“The book under review is an interesting addition to the list of mathematical biology texts and is designed for students, in both mathematics and biology, who have completed a semester or two of calculus. … The biological applications are well chosen and indicate how differential equations are used in biological research. Overall, this is a nice textbook for a first introduction to mathematical biology.” (Jason M. Graham, Mathematical Reviews, November, 2016)


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Table of contents (15 chapters)

  • Introduction

    Chou, Ching-Shan (et al.)

    Pages 1-2

    Preview Buy Chapter 30,19 €
  • Bacterial Growth in Chemostat

    Chou, Ching-Shan (et al.)

    Pages 3-27

    Preview Buy Chapter 30,19 €
  • System of Two Linear Differential Equations

    Chou, Ching-Shan (et al.)

    Pages 29-42

    Preview Buy Chapter 30,19 €
  • Systems of Two Differential Equations

    Chou, Ching-Shan (et al.)

    Pages 43-50

    Preview Buy Chapter 30,19 €
  • Predator–Prey Models

    Chou, Ching-Shan (et al.)

    Pages 51-63

    Preview Buy Chapter 30,19 €

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-319-29638-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-319-29636-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Mathematical Biology
Book Subtitle
Modeling, Analysis, and Simulations
Authors
Series Title
Springer Undergraduate Texts in Mathematics and Technology
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-29638-8
DOI
10.1007/978-3-319-29638-8
Hardcover ISBN
978-3-319-29636-4
Series ISSN
1867-5506
Edition Number
1
Number of Pages
VII, 172
Number of Illustrations and Tables
11 b/w illustrations, 38 illustrations in colour
Topics