Stochastic Approaches for Systems Biology

✍ Scribed by Mukhtar Ullah, Olaf Wolkenhauer (auth.)

• Publisher: Springer-Verlag New York
• Year: 2011
• Tongue: English
• Leaves: 319
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xxxii
Introduction....Pages 1-22
Biochemical Reaction Networks....Pages 23-52
Randomness....Pages 53-74
Probability and Random Variables....Pages 75-113
Stochastic Modeling of Biochemical Networks....Pages 115-171
The 2MA Approach....Pages 173-200
The 2MA Cell Cycle Model....Pages 201-219
Hybrid Markov Processes....Pages 221-234
Wet-Lab Experiments and Noise....Pages 235-243
Back Matter....Pages 281-290

✦ Subjects

Probability Theory and Stochastic Processes; Systems Biology; Mathematical and Computational Biology; Bioinformatics