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Stochastic chemical reaction systems...

Ge, Hao.

Stochastic chemical reaction systems in biology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stochastic chemical reaction systems in biologyby Hong Qian, Hao Ge.
作者:	Qian, Hong.
其他作者:	Ge, Hao.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xxii, 351 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Chemical kinetics.
電子資源:	https://doi.org/10.1007/978-3-030-86252-7
ISBN:	9783030862527$q(electronic bk.)

Stochastic chemical reaction systems in biology
Qian, Hong.

Stochastic chemical reaction systems in biology[electronic resource] /by Hong Qian, Hao Ge. - Cham :Springer International Publishing :2021. - xxii, 351 p. :ill., digital ;24 cm. - Lecture notes on mathematical modelling in the life sciences,2193-4797. - Lecture notes on mathematical modelling in the life sciences..

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.

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.

ISBN: 9783030862527$q(electronic bk.)

Standard No.: 10.1007/978-3-030-86252-7doiSubjects--Topical Terms:

193661
Chemical kinetics.

LC Class. No.: QD502 / .Q53 2021

Dewey Class. No.: 541.394

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505 0 $a 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.
520 $a 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.
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