Stochastic Chemical Reaction Systems in Biology / by Hong Qian, Hao Ge.

Format:

Book

Author/Creator:

Qian, Hong, 1960- author.

Ge, Hao, author.

Series:

Lecture Notes on Mathematical Modelling in the Life Sciences, 2193-4797

Language:

English

Subjects (All):

Mathematics.

Bioinformatics.

Physical biochemistry.

Biophysics.

Computational and Systems Biology.

Biophysical Chemistry.

Local Subjects:

Mathematics.

Computational and Systems Biology.

Biophysical Chemistry.

Biophysics.

Physical Description:

1 online resource (364 pages)

Edition:

1st ed. 2021.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2021.

Summary:

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 illustrated on a number of examples. For each example, the biological background is described, and mathematical models are developed following a unified set of principles. These models are then analyzed and, finally, the biological implications of the mathematical results are interpreted. The biological topics covered include gene expression, biochemistry, cellular regulation, and cancer biology. The book will be accessible to graduate students who have a strong background in differential equations, the theory of nonlinear dynamical systems, Markovian stochastic processes, and both discrete and continuous state spaces, and who are familiar with the basic concepts of probability theory.

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.

ISBN:

3-030-86252-6

OCLC:

1280050649