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Mathematical Methods in Biology and Neurobiology

  • Textbook
  • © 2014

Overview

Authors:
  1. Jürgen Jost

    1. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

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  • Develops the mathematical tools required for modern biology at all levels and scales
  • Provides a survey of mathematics, from graph theory and stochastic processes to dynamical systems and pattern formation
  • Contains biological examples from the molecular to the evolutionary and ecological levels
  • Contains concise, modern introduction to mathematical population genetics
  • Written by one of the most experienced and successful authors of advanced mathematical textbooks
  • Includes supplementary material: sn.pub/extras

Part of the book series: Universitext (UTX)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    • Jürgen Jost
    Pages 1-4

  3. Discrete Structures

    • Jürgen Jost
    Pages 5-57

  4. Stochastic Processes

    • Jürgen Jost
    Pages 59-88

  5. Pattern Formation

    • Jürgen Jost
    Pages 89-173

  6. Optimization

    • Jürgen Jost
    Pages 175-198

  7. Population Genetics

    • Jürgen Jost
    Pages 199-215

  8. Back Matter

    Pages 217-226
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Keywords

About this book

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.

Reviews

From the book reviews:

“This book sets itself the task of highlighting the use of graph theory, stochastic methods and partial differential equations in current biology. … This book is ideal for someone with some mathematical expertise who wishes to put it to use at the current boundaries of biological exploration.” (Jeff Ibbotson, MAA Reviews, January, 2015)

“This is a very good discussion of the mathematical modeling of genetics, populational theory, and neurosciences. … I highly recommend this book to neuroscientists, students, fellows and neurobiologists alike.” (Joseph J. Grenier, Amazon.com, August, 2014)

Authors and Affiliations

  • Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

    Jürgen Jost

About the author

Written by one of the most experienced and successful authors of advanced mathematical textbooks.

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