The Dynamics of Biological Systems

  • Arianna Bianchi
  • Thomas Hillen
  • Mark A. Lewis
  • Yingfei Yi

Part of the Mathematics of Planet Earth book series (MPE, volume 4)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Thomas Hillen, Mark A. Lewis
    Pages 1-34
  3. Gang Yang, Réka Albert
    Pages 35-62
  4. Zhilan Feng, John W. Glasser
    Pages 99-126
  5. Philip K. Maini, Thomas E. Woolley
    Pages 189-204
  6. King-Yeung Lam, Yuan Lou
    Pages 205-238
  7. Back Matter
    Pages 265-267

About this book


The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine.

The chapters of this book cover a wide range of mathematical methods and biological applications. They

-       explain the process of mathematical modelling of biological systems with many examples,
-       introduce advanced methods from dynamical systems theory,
-       present many examples of the use of mathematical modelling to gain biological insight,
-       discuss innovative methods for the analysis of biological processes,
-       contain extensive lists of references, which allow interested readers to continue the research on their own.

Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences.  


Mathematical Biology Mathematical Modelling Dynamical systems Applications of PDEs to Biology Biochemical Networks Epidemic Models (Stochastic) Population Models Pattern Formation Reaction-Diffusion Equations Kinetic-Transport Equations Biological Networks

Editors and affiliations

  • Arianna Bianchi
    • 1
  • Thomas Hillen
    • 2
  • Mark A. Lewis
    • 3
  • Yingfei Yi
    • 4
  1. 1.Department of Mathematical and Statistical SciencesUniversity of AlbertaEdmontonCanada
  2. 2.Department of Mathematical and Statistical SciencesUniversity of AlbertaEdmontonCanada
  3. 3.Department of Mathematical and Statistical SciencesUniversity of AlbertaEdmontonCanada
  4. 4.Department of Mathematical and Statistical SciencesUniversity of AlbertaEdmontonCanada

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-22582-7
  • Online ISBN 978-3-030-22583-4
  • Series Print ISSN 2524-4264
  • Series Online ISSN 2524-4272
  • Buy this book on publisher's site