Stochastics in Biological Systems

Stochastic Analysis of Biochemical Systems

Authors: Anderson, David F., Kurtz, Thomas

  • Part of the Mathematical Biosciences Institute Graduate Lecture series
  • Top international authors in area of stochastic processes in biology
  • Used for students and researchers working at intersection of mathematics and biology
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  • ISBN 978-3-319-16895-1
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About this Textbook

This book focuses on counting processes and continuous-time Markov chains motivated by examples and applications drawn from chemical networks in systems biology. The book should serve well as a supplement for courses in probability and stochastic processes. While the material is presented in a manner most suitable for students who have studied stochastic processes up to and including martingales in continuous time, much of the necessary background material is summarized in the Appendix. Students and Researchers with a solid understanding of calculus, differential equations and elementary probability and who are well-motivated by the applications will find this book of interest.

David F. Anderson is Associate Professor in the Department of Mathematics at the University of Wisconsin and Thomas G. Kurtz is Emeritus Professor in the Departments of Mathematics and Statistics at that university. Their research is focused on probability and stochastic processes with applications in biology and other areas of science and technology.

These notes are based in part on lectures given by Professor Anderson at the University of Wisconsin – Madison and by Professor Kurtz at Goethe University Frankfurt. 

About the authors

David F. Anderson and Thomas G. Kurtz are Professors in the Department of Mathematics and Statistics at the University of Wisconsin Madison.

Reviews

“For the reader's convenience, the book contains an appendix summarizing the necessary backgrounds on probability theory and stochastic processes. The authors manage to present the materials with clarity, brevity and style. In particular, the carefully chosen examples on the one hand help to illustrate the insights and results, and on the other hand make the book more readable. … The book provides nice supplementary material for courses in probability and stochastic processes.” (Chao Zhu, Mathematical Reviews, March, 2016)


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Table of contents (6 chapters)

  • Infinitesimal specification of continuous time Markov chains

    Anderson, David F. (et al.)

    Pages 1-17

  • Models of biochemical reaction systems

    Anderson, David F. (et al.)

    Pages 19-31

  • Stationary distributions of stochastically modeled reaction systems

    Anderson, David F. (et al.)

    Pages 33-41

  • Analytic approaches to model simplification and approximation

    Anderson, David F. (et al.)

    Pages 43-53

  • Numerical methods

    Anderson, David F. (et al.)

    Pages 55-68

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-16895-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-16894-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stochastic Analysis of Biochemical Systems
Authors
Series Title
Stochastics in Biological Systems
Series Volume
1.2
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-16895-1
DOI
10.1007/978-3-319-16895-1
Softcover ISBN
978-3-319-16894-4
Series ISSN
2364-2297
Edition Number
1
Number of Pages
X, 84
Number of Illustrations and Tables
4 b/w illustrations
Additional Information
Copublished with the Mathematical Biosciences Institute: Ohio, USA
Topics