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Chemical kinetics, stochastic processes, and irreversible thermodynamics. (English) Zbl 1295.92003
Lecture Notes on Mathematical Modelling in the Life Sciences. Cham: Springer (ISBN 978-3-319-06688-2/pbk; 978-3-319-06689-9/ebook). xiii, 126 p. (2014).
This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, the theories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. The last chapters focus on applying mathematical and physical techniques to study systems such as: gene regulatory networks and ion channels.
The target audience of this book are mainly final year undergraduate and graduate students with a solid mathematical background (physicists, mathematicians, and engineers), and being familiar with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interested in mathematical modeling, and have a working knowledge of calculus, differential equations, and a basic understanding of probability theory.
MSC:
92-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to biology
92-02 Research exposition (monographs, survey articles) pertaining to biology
92C40 Biochemistry, molecular biology
92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
92C05 Biophysics
80A30 Chemical kinetics in thermodynamics and heat transfer
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
60H35 Computational methods for stochastic equations (aspects of stochastic analysis)
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