Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 202. [More in this series]
Applied mathematical sciences ; volume 202
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--back cover.
Bibliographic references
Includes bibliographical references (pages 441-449) and index.
Contents
Preface
Part I. Preliminaries
1. Anticipating the big picture: some clues
2. Chemical and notational preliminaries
3. Reaction networks, kinetics, and the induced differential
4. Open systems: why study nonconservative and otherwise peculiar reaction networks?
5. A toy-reaction-network zoo: varieties of behavior and some questions
Part II. Some principle theorems: a first look
6. Aspects of reaction network structure
7. The deficiency zero theorem
8. Deficiency one theory
9. Concentration robustness and its importance in biology: some more deficiency-oriented theorems
10. Concordant reaction networks: architectures that promote dull, reliable behavior across broad kinetic classes
11. The species-reaction graph
12. The big picture revisited
Part III. Going deeper
13. Quasi-thermodynamic kinetic systems
14. Detailed balancing
15. Complex balancing
16. Deficiency zero theory foundation and some key propositions
17. Deficiency one theory foundations
18. Concentration robustness foundations
19. Species-reaction graph foundations.
ISBN
3030038572 ((hardcover))
9783030038571 ((hardcover))
LCCN
2018961742
OCLC
1056722989
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