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  • Textbook
  • © 2014

Mathematical Modeling of Biological Processes

  • Very practical and straightforward in its presentation Combination of Modelling, Mathematics and Numerics useful for researchers
  • Wide variety of biological examples
  • Includes simulations by MATLAB that will enable students to work out new hypotheses
  • Includes supplementary material: sn.pub/extras

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-vi
  2. Introduction

    • Avner Friedman, Chiu-Yen Kao
    Pages 1-2
  3. Chemical Kinetics and Enzyme Dynamics

    • Avner Friedman, Chiu-Yen Kao
    Pages 3-17
  4. Ordinary Differential Equations

    • Avner Friedman, Chiu-Yen Kao
    Pages 19-31
  5. Epidemiology of Infectious Diseases

    • Avner Friedman, Chiu-Yen Kao
    Pages 33-47
  6. Chemostats and Competition Among Species

    • Avner Friedman, Chiu-Yen Kao
    Pages 49-59
  7. Bifurcation Theory

    • Avner Friedman, Chiu-Yen Kao
    Pages 61-71
  8. Neuronal Oscillations

    • Avner Friedman, Chiu-Yen Kao
    Pages 73-80
  9. Conservation Laws

    • Avner Friedman, Chiu-Yen Kao
    Pages 81-92
  10. Neurofilaments Transport in Axon

    • Avner Friedman, Chiu-Yen Kao
    Pages 93-101
  11. Diffusion and Chemotaxis

    • Avner Friedman, Chiu-Yen Kao
    Pages 103-118
  12. Cancer

    • Avner Friedman, Chiu-Yen Kao
    Pages 119-125
  13. Cancer Therapy

    • Avner Friedman, Chiu-Yen Kao
    Pages 127-138
  14. Granulomas

    • Avner Friedman, Chiu-Yen Kao
    Pages 139-145
  15. Back Matter

    Pages 147-154

About this book

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.

Reviews

“This is a course book on several topics from mathematical biology. … The book provides a short introduction to ordinary differential equations, partial differential equations, bifurcation theory and numerical methods for dynamical systems. … The book is a valuable support for teaching mathematical modeling in life sciences to students with basic knowledge of ordinary differential equations and partial differential equations.” (Maria Vittoria Barbarossa, Acta Scientiarum Mathematicarum, Vol. 81 (3-4), 2015)

“Each section begins with a biological background and ends by a numerical implement of an according mathematical model. The student can freely use these tools for simulations. With this book, the student also will learn the basics of mathematical modeling with Matlab. The book can be used either for a semester course or as a basis for a one-year course.” (Fatima T. Adylova, zbMATH, Vol. 1302, 2015)

Authors and Affiliations

  • Department of Mathematics, The Ohio State University, Columbus, USA

    Avner Friedman

  • Department of Mathematical Sciences, Claremont McKenna College, Claremont, USA

    Chiu-Yen Kao

About the authors

Anver Friedman is a Distinguished University Professor. He received his PH.D. degree 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.

Chiu-Yen Kao is an Associate Professor at Claremont McKenna College. Her area of expertise is in applied mathematics.

Bibliographic Information

Buy it now

Buying options

eBook USD 19.99 USD 39.99
50% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 29.99 USD 49.99
40% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access