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  • Textbook
  • © 2011

Stochastic Approaches for Systems Biology

Authors:

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  • Focuses on both analytical and numerical approaches

  • Key Concepts in Stochastic Processes

  • Matlab examples provided

  • Many illustrations and examples included

  • Includes supplementary material: sn.pub/extras

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  • ISBN: 978-1-4614-0478-1
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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xxxii
  2. Introduction

    • Mukhtar Ullah, Olaf Wolkenhauer
    Pages 1-22
  3. Biochemical Reaction Networks

    • Mukhtar Ullah, Olaf Wolkenhauer
    Pages 23-52
  4. Randomness

    • Mukhtar Ullah, Olaf Wolkenhauer
    Pages 53-74
  5. Probability and Random Variables

    • Mukhtar Ullah, Olaf Wolkenhauer
    Pages 75-113
  6. Stochastic Modeling of Biochemical Networks

    • Mukhtar Ullah, Olaf Wolkenhauer
    Pages 115-171
  7. The 2MA Approach

    • Mukhtar Ullah, Olaf Wolkenhauer
    Pages 173-200
  8. The 2MA Cell Cycle Model

    • Mukhtar Ullah, Olaf Wolkenhauer
    Pages 201-219
  9. Hybrid Markov Processes

    • Mukhtar Ullah, Olaf Wolkenhauer
    Pages 221-234
  10. Wet-Lab Experiments and Noise

    • Mukhtar Ullah, Olaf Wolkenhauer
    Pages 235-243
  11. Back Matter

    Pages 281-290

About this book

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

  • Institut of Computer Science, Dept. of Systems Biology and Bionformati, Universität Rostock, Rostock, Germany

    Mukhtar Ullah

  • Institut of Computer Science, Dept. of Systems Biology and Bioinformat, Universität Rostock, Rostock, Germany

    Olaf Wolkenhauer

About the authors

Olaf Wolkenhauer received his first degrees in control engineering from the University of Applied Sciences in Hamburg, Germany and the University of Portsmouth in the U.K. He obtained his PhD from the University of Manchester, Institute of Science & Technology (UMIST) for research on the application of possibility theory to data analysis. Following a research lectureship at the Control Systems Centre at UMIST and a research fellowship at the Technical University Delft in the Netherlands, he directed his research towards systems biology. This led to a joint senior lectureship with the Dept. of Biomolecular Sciences and the Dept. of Electrical Engineering and Electronics, at UMIST. In 2003 he moved to the University of Rostock in Germany, where he heads the Department of Systems Biology and Bioinformatics. He is a fellow of the Stellenbosch Institute for Advanced Study (STIAS). Olaf Wolkenhauer’s research interests are in mathematical modelling and data analysis. His work concentrates on a systems-theoretic approach to understand the regulation, control and coordination of complex dynamical systems.

 

Webpage: www.sbi.uni-rostock.de

 

Mukhtar Ullah received his BSc in Electrical Engineering from N-W.F.P University of Engineering and Technology Peshawar, N-W.F.P, Pakistan. He completed his MSc. in Advanced Control and Systems Engineering from the Department of Electrical Engineering and Electronics, at the University of Manchester Institute of Science and Technology (UMIST), Manchester, U.K. in 2002. In 2003 he moved to the University of Rostock in Germany as a research assistant in the Department of Systems Biology and Bioinformatics in the Institute of Computer Science. In 2009 he completed his PhD from the same department. He is currently working as a post-doctoral research associate in the same department. His research focuses on stochastic modelling of biological systems.

 

Webpage: www.sbi.uni-rostock.de

Bibliographic Information

Buying options

eBook
USD 69.99
Price excludes VAT (USA)
  • ISBN: 978-1-4614-0478-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 79.99
Price excludes VAT (USA)
Hardcover Book
USD 89.99
Price excludes VAT (USA)