TY - BOOK AU - Mazza,Christian AU - Benaim,Michel TI - Stochastic dynamics for systems biology T2 - Chapman & Hall/CRC Mathematical and Computational Biology Series SN - 9781466514935 U1 - 570.285 23 PY - 2014/// CY - Boca Raton PB - CRC Press KW - Systems biology KW - Mathematical models KW - Gene expressions KW - Statistical methods KW - Statistical methods. N1 - Includes bibliographical references (p. 243-255) and index; 1. Reaction networks: introduction -- 2. Continuous-time Markov chains -- 3. First-order chemical reaction networks -- 4. Biochemical pathways -- 5. Binding processes and transcription rates -- 6. Kinetics of binding processes -- 7. Transcription factor binding at nucleosomal DNA -- 8. Signalling switches -- 9. Differential equations, flows and vector fields -- 10. Equilibria, periodic orbits and limit cycles -- 11. Linearisation -- 12. Density dependent population processes and the linear noise approximation -- 13. Mass action kinetics -- V Appendixes: A. Self-regulated genes -- B. Asymptotic behaviour of the solutions to time-continuous Lyapunov equations-- Bibliography-- Index N2 - 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 system. Most of the text should be accessible to scientists with basic knowledge in calculus and probability theory. ER -