Foundations of Chemical Reaction Network Theory

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 o...

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Bibliographic Details
Main Author: Feinberg, Martin
Format: eBook
Language:English
Published: Cham Springer International Publishing 2019, 2019
Edition:1st ed. 2019
Series:Applied Mathematical Sciences
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of 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