Stochastic Chemical Reaction Systems in Biology
This book provides an introduction to the analysis of stochastic dynamic models in biology and medicine. The main aim is to offer a coherent set of probabilistic techniques and mathematical tools which can be used for the simulation and analysis of various biological phenomena. These tools are illus...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2021, 2021
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| Edition: | 1st ed. 2021 |
| Series: | Lecture Notes on Mathematical Modelling in the Life Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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