ENGLISH

Foundations of Chemical Reaction Network Theory

By Martin Feinberg

Book information

Publisher
Springer International Publishing
Year
2019
ISBN
978-3-030-03857-1, 978-3-030-03858-8
Language
english
Format
PDF
Filesize
7 MB (7251161 bytes)
Series
Applied Mathematical Sciences 202
Edition
1st ed.
Pages
XXIX, 454\473
Time added
2019-04-19 19:00:00
Mathematics; Applications of Mathematics; Biochemi

Description

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. Front Matter ....Pages I-XXIX Front Matter ....Pages 1-3 Anticipating the Big Picture: Some Clues (Martin Feinberg)....Pages 5-12 Chemical and Notational Preliminaries (Martin Feinberg)....Pages 13-22 Reaction Networks, Kinetics, and the Induced Differential Equations (Martin Feinberg)....Pages 23-42 Open Systems: Why Study Nonconservative and Otherwise Peculiar Reaction Networks? (Martin Feinberg)....Pages 43-55 A Toy-Reaction-Network Zoo: Varieties of Behavior and Some Questions (Martin Feinberg)....Pages 57-68 Front Matter ....Pages 69-72 Aspects of Reaction Network Structure (Martin Feinberg)....Pages 73-88 The Deficiency Zero Theorem (Martin Feinberg)....Pages 89-104 Deficiency One Theory (Martin Feinberg)....Pages 105-125 Concentration Robustness and Its Importance in Biology: Some More Deficiency-Oriented Theorems (Martin Feinberg)....Pages 127-152 Concordant Reaction Networks: Architectures That Promote Dull, Reliable Behavior Across Broad Kinetic Classes (Martin Feinberg)....Pages 153-204 The Species-Reaction Graph (Martin Feinberg)....Pages 205-240 The Big Picture Revisited (Martin Feinberg)....Pages 241-268 Front Matter ....Pages 269-271 Quasi-Thermodynamic Kinetic Systems (Martin Feinberg)....Pages 273-291 Detailed Balancing (Martin Feinberg)....Pages 293-307 Complex Balancing (Martin Feinberg)....Pages 309-320 Deficiency Zero Theory Foundations and Some Key Propositions (Martin Feinberg)....Pages 321-358 Deficiency One Theory Foundations (Martin Feinberg)....Pages 359-398 Concentration Robustness Foundations (Martin Feinberg)....Pages 399-417 Species-Reaction Graph Foundations (Martin Feinberg)....Pages 419-440 Back Matter ....Pages 441-454

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