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Introduction to Mathematical Biology

Modeling, Analysis, and Simulations

  • Ching Shan Chou
  • Avner Friedman

Table of contents

  1. Front Matter
    Pages i-vii
  2. Ching-Shan Chou, Avner Friedman
    Pages 1-2
  3. Ching-Shan Chou, Avner Friedman
    Pages 3-27
  4. Ching-Shan Chou, Avner Friedman
    Pages 29-42
  5. Ching-Shan Chou, Avner Friedman
    Pages 43-50
  6. Ching-Shan Chou, Avner Friedman
    Pages 51-63
  7. Ching-Shan Chou, Avner Friedman
    Pages 65-74
  8. Ching-Shan Chou, Avner Friedman
    Pages 75-85
  9. Ching-Shan Chou, Avner Friedman
    Pages 87-95
  10. Ching-Shan Chou, Avner Friedman
    Pages 97-104
  11. Ching-Shan Chou, Avner Friedman
    Pages 105-115
  12. Ching-Shan Chou, Avner Friedman
    Pages 117-128
  13. Ching-Shan Chou, Avner Friedman
    Pages 129-136
  14. Ching-Shan Chou, Avner Friedman
    Pages 137-146
  15. Ching-Shan Chou, Avner Friedman
    Pages 147-156
  16. Ching-Shan Chou, Avner Friedman
    Pages 157-164
  17. Back Matter
    Pages 165-172

About this book

Introduction

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.

Keywords

Bifurcation Theory Linear Differential Equations Mathematical Biology Mathematical Modeling Numerical Simulations Predator-prey Spread of Disease

Authors and affiliations

  • Ching Shan Chou
    • 1
  • Avner Friedman
    • 2
  1. 1.Math TowerOhio State UnivColumbusUSA
  2. 2.Dept of MathematicsOhio State UnivColumbusUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-29638-8
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-29636-4
  • Online ISBN 978-3-319-29638-8
  • Series Print ISSN 1867-5506
  • Series Online ISSN 1867-5514
  • Buy this book on publisher's site
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