Authors:
- 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
Part of the book series: Lecture Notes on Mathematical Modelling in the Life Sciences (LMML)
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Table of contents (16 chapters)
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Front Matter
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Essentials of Deterministic and Stochastic Chemical Kinetics
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Front Matter
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From Chemical Kinematics to Mesoscopic and Macroscopic Thermodynamics
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Front Matter
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Stochastic Kinetics of Biochemical Systems and Processes
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Front Matter
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Epilogue: Beyond Chemical Reaction Kinetics
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Front Matter
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About this book
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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Authors and Affiliations
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Department of Applied Mathematics, University of Washington, Seattle, USA
Hong Qian
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Beijing International Center for Mathematical Research and Biomedical Pioneering Innovation Center, Peking University, Beijing, China
Hao Ge
About the authors
Hao Ge is an Associate Professor at the Beijing International Center for Mathematical Research and the Biomedical Pioneering Innovation Center of Peking University, Beijing, China. He received both his B.A. and Ph.D. in Probability and Statistics from Peking University, and worked as lecturerand associate professor at Fudan University from 2008 to 2011. He was a visiting scholar in the Department of Chemistry and Chemical Biology at Harvard University during 2010–2011. Professor Ge's main research interest is in the stochastic mathematics of nonequilibrium biophysics, biomathematics and biostatistics.
Bibliographic Information
Book Title: Stochastic Chemical Reaction Systems in Biology
Authors: Hong Qian, Hao Ge
Series Title: Lecture Notes on Mathematical Modelling in the Life Sciences
DOI: https://doi.org/10.1007/978-3-030-86252-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-86251-0Published: 19 October 2021
eBook ISBN: 978-3-030-86252-7Published: 18 October 2021
Series ISSN: 2193-4789
Series E-ISSN: 2193-4797
Edition Number: 1
Number of Pages: XXII, 351
Number of Illustrations: 23 b/w illustrations, 26 illustrations in colour
Topics: Mathematics, general, Bioinformatics, Chemistry/Food Science, general, Physical Chemistry, Biological and Medical Physics, Biophysics