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Mathematical Modeling of Biological Processes

  • Avner Friedman
  • Chiu-Yen Kao

Table of contents

  1. Front Matter
    Pages i-vi
  2. Avner Friedman, Chiu-Yen Kao
    Pages 1-2
  3. Avner Friedman, Chiu-Yen Kao
    Pages 3-17
  4. Avner Friedman, Chiu-Yen Kao
    Pages 19-31
  5. Avner Friedman, Chiu-Yen Kao
    Pages 33-47
  6. Avner Friedman, Chiu-Yen Kao
    Pages 49-59
  7. Avner Friedman, Chiu-Yen Kao
    Pages 61-71
  8. Avner Friedman, Chiu-Yen Kao
    Pages 73-80
  9. Avner Friedman, Chiu-Yen Kao
    Pages 81-92
  10. Avner Friedman, Chiu-Yen Kao
    Pages 93-101
  11. Avner Friedman, Chiu-Yen Kao
    Pages 103-118
  12. Avner Friedman, Chiu-Yen Kao
    Pages 119-125
  13. Avner Friedman, Chiu-Yen Kao
    Pages 127-138
  14. Avner Friedman, Chiu-Yen Kao
    Pages 139-145
  15. Back Matter
    Pages 147-154

About this book

Introduction

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 include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas.

Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis.

Keywords

enyzyme dynamics mathematical modelling spread of disease

Authors and affiliations

  • Avner Friedman
    • 1
  • Chiu-Yen Kao
    • 2
  1. 1.Department of MathematicsThe Ohio State UniversityColumbusUSA
  2. 2.Department of Mathematical SciencesClaremont McKenna CollegeClaremontUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-08314-8
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-08313-1
  • Online ISBN 978-3-319-08314-8
  • Series Print ISSN 2193-4789
  • Series Online ISSN 2193-4797
  • Buy this book on publisher's site