Stochastic Approaches for Systems Biology

  • Mukhtar Ullah
  • Olaf Wolkenhauer

Table of contents

  1. Front Matter
    Pages i-xxxii
  2. Mukhtar Ullah, Olaf Wolkenhauer
    Pages 1-22
  3. Mukhtar Ullah, Olaf Wolkenhauer
    Pages 23-52
  4. Mukhtar Ullah, Olaf Wolkenhauer
    Pages 53-74
  5. Mukhtar Ullah, Olaf Wolkenhauer
    Pages 75-113
  6. Mukhtar Ullah, Olaf Wolkenhauer
    Pages 115-171
  7. Mukhtar Ullah, Olaf Wolkenhauer
    Pages 173-200
  8. Mukhtar Ullah, Olaf Wolkenhauer
    Pages 201-219
  9. Mukhtar Ullah, Olaf Wolkenhauer
    Pages 221-234
  10. Mukhtar Ullah, Olaf Wolkenhauer
    Pages 235-243
  11. Back Matter
    Pages 281-290

About this book

Introduction

This textbook focuses on stochastic modelling and its applications in systems biology. In addition to a review of probability theory, the authors introduce key concepts, including those of stochastic process, Markov property, and transition probability, side by side with notions of biochemical reaction networks. This leads to an intuitive presentation guided by a series of biological examples that are revisited throughout the text. The text shows how the notion of propensity, the chemical master equation and the stochastic simulation algorithm arise as consequences of the Markov property. The nontrivial relationships between various stochastic approaches are derived and illustrated. The text contains many illustrations, examples and exercises to communicate methods and analyses. Matlab code to simulate cellular systems is also provided where appropriate and the reader is encouraged to experiment with the examples and case studies provided. Senior undergraduate and graduate students in applied mathematics, the engineering and physical sciences as well as researchers working in the areas of systems biology, theoretical and computational biology will find this text useful.

Keywords

Systems biology biochemical reaction networks molecular and cell biology randomness stochastic processes

Authors and affiliations

  • Mukhtar Ullah
    • 1
  • Olaf Wolkenhauer
    • 2
  1. 1.Institut of Computer Science, Dept. of Systems Biology and BionformatiUniversität RostockRostockGermany
  2. 2.Institut of Computer Science, Dept. of Systems Biology and BioinformatUniversität RostockRostockGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-0478-1
  • Copyright Information Springer Science+Business Media, LLC 2011
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-0477-4
  • Online ISBN 978-1-4614-0478-1
  • About this book