Lecture Notes on Mathematical Modelling in the Life Sciences

Methods and Models in Mathematical Biology

Deterministic and Stochastic Approaches

Authors: Müller, Johannes, Kuttler, Christina

  • The mathematical foundations are included
  • This manuscript is intended to give a survey of the standard models
  • This book includes current topics that are less present in the classical textbooks
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  • ISBN 978-3-642-27251-6
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About this Textbook

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.

About the authors

Johannes Müller’s research interest lies in the interface of mathematics and life sciences. In particular his research is concerned with the theory and biological applications of dynamical systems and branching processes. He studied in Karlsruhe and Tübingen, where he completed his habilitation in 2001. After stays in Utrecht and Cologne, he became head of a research group at the Institute for Biomathematics and Biometry at the Helmholtz Center, Munich. He has been appointed as a professor at the Technische Universität München (2004), where he is responsible for the masters program "Mathematics in Biosciences".

Christina Kuttler is a professor at the Technical University Munich, her work focusing on "Mathematics in Life Sciences". She previously worked at the University of Tübingen and at the Helmholtz Center Munich, Institute for Biomathematics and Biometry, as part of the interdisciplinary project on molecular interactions in the rhizosphere. Her main expertise is in the field of biomathematics, particularly the mathematical modelling of biological processes using ordinary and partial differential equations. A main project deals with the modelling of bacterial communications, in which intracellular regulation mechanisms and diffusion processes are considered. Her primary goal is a better understanding of the underlying mechanisms and provide a quantitative description.

Reviews

“The core of the book is based on a two-semester graduate course on the mathematical modeling of biological systems. In my opinion, the book is targeted at graduate students with a strong mathematics background. … The book has a very nice diversity of topics in biology and applied dynamical systems. … There is a nice bank of exercises, at the right level for first to second year graduate students.” (Zachary P. Kilpatrick, SIAM Review, Vol. 59 (1), March, 2017)


Table of contents (7 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-642-27251-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $131.00
price for USA
  • ISBN 978-3-642-27250-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Methods and Models in Mathematical Biology
Book Subtitle
Deterministic and Stochastic Approaches
Authors
Series Title
Lecture Notes on Mathematical Modelling in the Life Sciences
Copyright
2015
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Distribution Rights
Distribution rights for India: Scientific International, New Delhi, India
eBook ISBN
978-3-642-27251-6
DOI
10.1007/978-3-642-27251-6
Softcover ISBN
978-3-642-27250-9
Series ISSN
2193-4789
Edition Number
1
Number of Pages
XIII, 711
Number of Illustrations and Tables
174 b/w illustrations, 65 illustrations in colour
Topics