Stochastic Chemical Reaction Systems in Biology

Hong Qian is the Olga Jung Wan Endowed Professor of Applied Mathematics at the  University of Washington, Seattle, USA. He received his B.A. in Astrophysics from Peking University, his Ph.D. in Biochemistry from Washington University in St. Louis, and worked as postdoctoral researcher in biophysical chemistry and mathematical biology at the University of Oregon and the California Institute of Technology. He was elected Fellow of the American Physical Society in 2010. Professor Qian's current research focuses on mathematical representations and the physical understanding of biological systems, especially in terms of stochastic mathematics and nonequilibrium statistical physics.Hao Ge is an Associate Professor at the Beijing International Center for Mathematical Research and the Biomedical Pioneering Innovation Center of Peking University, Beijing, China. He received both his B.A. and Ph.D. in Probability and Statistics from Peking University, and worked as lecturerand associate professor at Fudan University from 2008 to 2011. He was a visiting scholar in the Department of Chemistry and Chemical Biology at Harvard University during 2010–2011. Professor Ge's main research interest is in the stochastic mathematics of nonequilibrium biophysics, biomathematics and biostatistics.

• 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.

“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)