Foundations of Chemical Reaction Network Theory
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Beschreibung
This book provides an authoritative introduction to the rapidly growing field of chemical reaction network theory. In particular, the book presents deep and surprising theorems that relate the graphical and algebraic structure of a reaction network to qualitative properties of the intricate system of nonlinear differential equations that the network induces. Over the course of three main parts, Feinberg provides a gradual transition from a tutorial on the basics of reaction network theory, to a survey of some of its principal theorems, and, finally, to a discussion of the theory’s more technical aspects. Written with great clarity, this book will be of value to mathematicians and to mathematically-inclined biologists, chemists, physicists, and engineers who want to contribute to chemical reaction network theory or make use of its powerful results.
This book provides an authoritative introduction to the rapidly growing field of chemical reaction network theory. In particular, the book presents deep and surprising theorems that relate the graphical and algebraic structure of a reaction network to qualitative properties of the intricate system of nonlinear differential equations that the network induces. Over the course of three main parts, Feinberg provides a gradual transition from a tutorial on the basics of reaction network theory, to a survey of some of its principal theorems, and, finally, to a discussion of the theory’s more technical aspects. Written with great clarity, this book will be of value to mathematicians and to mathematically-inclined biologists, chemists, physicists, and engineers who want to contribute to chemical reaction network theory or make use of its powerful results.
Provides clear introduction to the chemical basis and important theorems of chemical reaction network theory Maximizes reader insights into powerful and wide-ranging theorems of chemical reaction network theory for use in a variety of applications Summarizes the latest studies of chemical reaction network theory and covers many different applications while additionally providing mathematicians with access to (and motivation for) the more difficult underlying arguments for the theory Equips readers to begin contributing to chemical reaction network theory
Autor*in
Martin Feinberg
Themen in »Foundations of Chemical Reaction Network Theory«
Chemical Reaction Network Theory Systems Biology Reaction Networks Kinetics Deficiency Zero Theorem Deficiency One Theorem Networks Dynamic Systems Differential Equations Stability Biochemistry Mathematical Biology biochemical engineering
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“This book comprehensively describes network theory applied to chemical reactions, delivering powerful conclusions surprisingly following from hypotheses that are essentially formulated in terms of linear algebra and graph theory. ... The presentation is rich in material including motivating examples, applications to practical problems, guide to the literature, and mathematical proofs. It deserves a salient place in the section on mathematical chemistry of any library.” (Dieter Erle, zbMATH 1420.92001, 2019)
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