Stochastic chemical reaction systems in biology / Hong Qian, Hao Ge.
Qian, Hong.; Ge, Hao, author.
2021
QD502
Available Online

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Title Stochastic chemical reaction systems in biology / Hong Qian, Hao Ge.
Author Qian, Hong.
ISBN 9783030862527 (electronic bk.)
3030862526 (electronic bk.)
3030862518
9783030862510
DOI https://doi.org/10.1007/978-3-030-86252-7
Publication Details Cham, Switzerland : Springer, 2021.
Language English
Description 1 online resource
Item Number 10.1007/978-3-030-86252-7 doi
Call Number QD502
Dewey Decimal Classification 541/.394
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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file
PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed November 3, 2021).
Added Author Ge, Hao, author.
Series Lecture notes on mathematical modelling in the life sciences, 2193-4797
Available in Other Form Print version: 9783030862510
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Record Appears in Online Resources > Ebooks
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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 KineticsThe 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.

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