Lecture Notes on Mathematical Modelling in the Life Sciences

Mathematical Modeling of Biological Processes

Authors: Friedman, Avner, Kao, Chiu-Yen

  • ​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
see more benefits

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-08314-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $60.00
price for USA
  • ISBN 978-3-319-08313-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

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.

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)

Video

Table of contents (13 chapters)

  • Introduction

    Friedman, Avner (et al.)

    Pages 1-2

  • Chemical Kinetics and Enzyme Dynamics

    Friedman, Avner (et al.)

    Pages 3-17

  • Ordinary Differential Equations

    Friedman, Avner (et al.)

    Pages 19-31

  • Epidemiology of Infectious Diseases

    Friedman, Avner (et al.)

    Pages 33-47

  • Chemostats and Competition Among Species

    Friedman, Avner (et al.)

    Pages 49-59

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-08314-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $60.00
price for USA
  • ISBN 978-3-319-08313-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Mathematical Modeling of Biological Processes
Authors
Series Title
Lecture Notes on Mathematical Modelling in the Life Sciences
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-08314-8
DOI
10.1007/978-3-319-08314-8
Softcover ISBN
978-3-319-08313-1
Series ISSN
2193-4789
Edition Number
1
Number of Pages
VI, 154
Number of Illustrations and Tables
15 b/w illustrations, 17 illustrations in colour
Topics