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Foundations of Chemical Reaction Network Theory [electronic resource] / by Martin Feinberg.
Author
Feinberg, Martin
[Browse]
Format
Book
Language
English
Εdition
1st ed. 2019.
Published/Created
Cham : Springer International Publishing : Imprint: Springer, 2019.
Description
1 online resource (XXIX, 454 p. 50 illus., 42 illus. in color.)
Availability
Available Online
Springer Nature - Springer Mathematics and Statistics eBooks 2019 English International
Details
Subject(s)
Applied mathematics
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Engineering mathematics
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Biochemical engineering
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Biomathematics
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Systems biology
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Chemistry, Physical and theoretical
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Chemical engineering
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Series
Applied Mathematical Sciences, 202
[More in this series]
Applied Mathematical Sciences, 0066-5452 ; 202
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Summary note
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.
Contents
Part I: Preliminaries
Anticipating the Big Picture: Some Clues
Chemical and Notational Preliminaries
Reaction Networks, Kinetics, and the Induced Differential Equations
Open Systems: Why Study Nonconservative and Otherwise Peculiar Reaction Networks?
A Toy-Reaction-Network Zoo: Varieties of Behavior and Some Questions
Part II: Some Principle Theorems: A First Look
Aspects of Reaction Network Structure
The Deficiency Zero Theorem
Deficiency One Theory
Concentration Robustness and Its Importance in Biology: Some More Deficiency-Oriented Theorems
Concordant Reaction Networks: Architectures that Promote Dull, Reliable Behavior Across Broad Kinetic Classes
The Species-Reaction Graph
The Big Picture Revisited
Part III: Going Deeper
Quasi-Thermodynamic Kinetic Systems
Detailed Balancing
Complex Balancing
Deficiency Zero Theory Foundations and Some Key Propositions
Deficiency One Theory Foundations
Concentration Robustness Foundations
Species-Reaction Graph Foundations.
Show 19 more Contents items
ISBN
3-030-03858-0
Doi
10.1007/978-3-030-03858-8
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Foundations of chemical reaction network theory / Martin Feinberg.
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