Foundations of Chemical Reaction Network Theory
Published in March 2019
Book
Hardback
XXIX, 454 pages
978-3-030-03857-1 (ISBN)
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.
Reviews / Votes
"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)More details
Product info
Book
Series
Edition
2018
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
43 farbige Tabellen, 42 farbige Abbildungen, 8 s/w Abbildungen
8 schwarz-weiße und 42 farbige Abbildungen, 43 farbige Tabellen, Bibliographie
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 32 mm
Weight
893 gr
ISBN-13
978-3-030-03857-1 (9783030038571)
DOI
10.1007/978-3-030-03858-8
Schweitzer Classification
Other editions
Additional editions
Martin Feinberg
Foundations of Chemical Reaction Network Theory
E-Book
01/2019
Springer
€139.09
Available for download
Content
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.