Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual insights on the functioning of the cellular processing
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.