Stochastic Dynamics for Systems Biology

"This book is the ideal media for introducing many stochastic models from systems biology and the biological meaning of some biological notions, like Hill functions and binding curves, to mathematicians, and likewise providing the biologists with a mathematical framework of simulating and theoretically studying the biological processes. … The book also presents an original and up-to-date treatment of cooperativity …"—Zentralblatt MATH 1305

• Dynamics of Reaction Networks: Markov Processes: Reaction Networks: Introduction. Continuous-Time Markov Chains. Illustrations from Systems Biology: First-Order Chemical Reaction Networks. Biochemical Pathways. Binding Processes and Transcription Rates. Kinetics of Binding Processes. Transcription Factor Binding at Nucleosomal DNA. Signalling Switches. A Short Course on Dynamical Systems: Differential Equations, Flows, and Vector Fields. Equilibria, Periodic Orbits and Limit Cycles. Linearization. Linear Noise Approximation: Density-Dependent Population Processes and the Linear Noise Approximation. Mass Action Kinetics. Appendix: Self-Regulated Genes. Asymptotic Behavior of the Solutions to Time-Continuous Lyapunov Equations. Bibliography. Index.