This textbook focuses on stochastic analysis in ?systems biology ?containing both the theory and application. While the authors provide a review of probability and random variables, subsequent notions of biochemical reaction systems and the relevant concepts of probability theory are introduced side by side. This leads to an intuitive and easy-to-follow presentation of stochastic framework for modeling subcellular biochemical systems. In particular, the authors make an effort to show how the notion of propensity, the chemical master equation and the stochastic simulation algorithm arise as consequences of the Markov property.
?
The text contains many ?illustrations, examples and exercises to illustrate the ideas and methods that are introduced. Matlab code is also provided where appropriate. Additionally, the cell cycle is? introduced as a more complex case study.
?
Senior undergraduate and graduate students in mathematics and physics as well as researchers ?working in the area of systems biology, bioinformatics and related areas will find this text useful.
This book presents key concepts in stochastic approaches for systems biology.? It focuses on both analytical and numerical approaches and features Matlab examples as well as many illustrations.
Preface.-??Acknowledgements.- Acronyms, notation.- Matlab functions, revisited examples.- Introduction.- Biochemical reaction networks.- Randomness.- Probability and random variables.- Stochastic modeling of biochemical networks.- The 2MA approach.- The 2MA cell cycle model.- Hybrid Markov processes.- Wet-lab experiments and noise.- Glossary
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 Sciló#