Stochastic Chemical Reaction Systems in Biology
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Beschreibung
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.
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.
Provides a systematic mathematical treatment of biological population dynamics in terms of probability theory Introduces a new theoretical framework for nonequilibrium statistical physics with applications to biology Offers a coherent approach to biophysics and physical chemistry based on stochastic kinetic models
Autor*in
Hong Qian
Themen in »Stochastic Chemical Reaction Systems in Biology«
stochastic reaction systems chemical kinetics biochemical kinetics cell biology single-molecule enzymology mesoscopic thermodynamics macroscopic thermodynamics Michaelis-Menten enzyme kinetics Briggs-Haldane theory stochastic macromolecular mechanics mechanochemistry
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“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)
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