Stochastic Chemical Reaction Systems in Biology

By: Hao Ge, Hong Qian

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Paperback | 19 October 2021

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376 Pages

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23.5 x 15.5 x 1.98

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1. Introduction.- Part I Essentials of Deterministic and Stochastic Chemical Kinetics: 2. Kinetic Rate Equations and the Law of Mass Action.- 3. Probability Distribution and Stochastic Processes.- 4. Large Deviations and Kramers' rate formula.- 5. The Probabilistic Basis of Chemical Kinetics.- 6. Mesoscopic Thermodynamics of Markov Processes.- 7. Emergent Macroscopic Chemical Thermodynamics.- 8. Phase Transition and Mesoscopic Nonlinear Bistability.- Part III Stochastic Kinetics of Biochemical Systems and Processes: 9. Classic Enzyme Kinetics-The Michaelis-Menten and Briggs-Haldane Theories.- 10. Single-Molecule Enzymology and Driven Biochemical Kinetics with Chemostat.- 11. Stochastic Linear Reaction Kinetic Systems.- 12. Nonlinear Stochastic Reaction Systems with Simple Examples.- 13. Kinetics of the Central Dogma of Molecular Cell Biology.- 14. Stochastic Macromolecular Mechanics and Mechanochemistry.- Part IV Epilogue: Beyond Chemical Reaction Kinetics: 15. Landscape, Attractor-State Switching, and Differentiation.- 16. Nonlinear Stochastic Dynamics: New Paradigm and Syntheses.- References.- Index.

Industry Reviews

"We recommend this book to any graduate students and researchers seeking to learn chemical reactions from a stochastic viewpoint via a unified set of probabilistic principles. This book covers the most important topics in biochemical reactions with intuitive and self-content presentations, making it a good starting point. The high level mathematics of this book also allows the content to be applied to a wide range of models, such as in ecology and population dynamics." (Yuan Gao, SIAM Review, Vol. 65 (2), 2023)

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