Methods and Models in Mathematical Biology

Deterministic and Stochastic Approaches

  • Johannes Müller
  • Christina Kuttler

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Johannes Müller, Christina Kuttler
    Pages 1-156
  3. Johannes Müller, Christina Kuttler
    Pages 157-295
  4. Johannes Müller, Christina Kuttler
    Pages 297-414
  5. Johannes Müller, Christina Kuttler
    Pages 415-481
  6. Johannes Müller, Christina Kuttler
    Pages 483-632
  7. Johannes Müller, Christina Kuttler
    Pages 633-671
  8. Johannes Müller, Christina Kuttler
    Pages 673-696
  9. Back Matter
    Pages 697-711

About this book

Introduction

This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universität München. The main themes are modeling principles, mathematical principles for the analysis of these models, and model-based analysis of data. The key topics of modern biomathematics are covered: ecology, epidemiology, biochemistry, regulatory networks, neuronal networks, and population genetics. A variety of mathematical methods are introduced, ranging from ordinary and partial differential equations to stochastic graph theory and  branching processes. A special emphasis is placed on the interplay between stochastic and deterministic models.

Keywords

Dynamical systems and stochastic processes Mathematical Biology Modeling

Authors and affiliations

  • Johannes Müller
    • 1
  • Christina Kuttler
    • 2
  1. 1.Centre for Mathematical SciencesTechnical University MunichGarchingGermany
  2. 2.Centre for Mathematical SciencesTechnical University MunichGarchingGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-27251-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-27250-9
  • Online ISBN 978-3-642-27251-6
  • Series Print ISSN 2193-4789
  • Series Online ISSN 2193-4797
  • About this book
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