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Mathematical Methods in Biology and Neurobiology

  • Jürgen Jost

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-x
  2. Jürgen Jost
    Pages 1-4
  3. Jürgen Jost
    Pages 5-57
  4. Jürgen Jost
    Pages 59-88
  5. Jürgen Jost
    Pages 89-173
  6. Jürgen Jost
    Pages 175-198
  7. Jürgen Jost
    Pages 199-215
  8. Back Matter
    Pages 217-226

About this book

Introduction

Mathematical models can be used to meet many of the challenges and opportunities offered by modern biology. The description of biological phenomena requires a range of mathematical theories. This is the case particularly for the emerging field of systems biology. Mathematical Methods in Biology and Neurobiology introduces and develops these mathematical structures and methods in a systematic manner. It studies:
 
• discrete structures and graph theory
• stochastic processes
• dynamical systems and partial differential equations
• optimization and the calculus of variations.
 
The biological applications range from molecular to evolutionary and ecological levels, for example:
 
• cellular reaction kinetics and gene regulation
• biological pattern formation and chemotaxis
• the biophysics and dynamics of neurons
• the coding of information in neuronal systems
• phylogenetic tree reconstruction
• branching processes and population genetics
• optimal resource allocation
• sexual recombination
• the interaction of species.

Written by one of the most experienced and successful authors of advanced mathematical textbooks, this book stands apart for the wide range of mathematical tools that are featured. It will be useful for graduate students and researchers in mathematics and physics that want a comprehensive overview and a working knowledge of the mathematical tools that can be applied in biology. It will also be useful for biologists with some mathematical background that want to learn more about the mathematical methods available to deal with biological structures and data.

Keywords

Branching Processes Coalescents Dynamical Systems in Biology FitzHugh-Nagumo Gene Genealogies Graph Theory Hodgkin-Huxley Mathematical Biology Mathematical Tools for Systems Biology Network Analysis Optimal Resource Allocation Pattern Formation Phylogenetic Reconstruction Population Genetics Reaction-Diffusion Systems Sexual Recombination Stochastic Processes Turing Mechanism Wright-Fisher

Authors and affiliations

  • Jürgen Jost
    • 1
  1. 1.Max Planck Institute for Mathematics in the SciencesLeipzigGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-6353-4
  • Copyright Information Springer-Verlag London 2014
  • Publisher Name Springer, London
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4471-6352-7
  • Online ISBN 978-1-4471-6353-4
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site