Foundations of Chemical Reaction Network T...

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Provides clear introduction to the chemical basis and important theorems of chemical reaction network theory

Maximizes reader insights into powerful and wide-ranging theorems of chemical reaction network theory for use in a variety of applications

Summarizes the latest studies of chemical reaction network theory and covers many different applications while additionally providing mathematicians with access to (and motivation for) the more difficult underlying arguments for the theory

Equips readers to begin contributing to chemical reaction network theory

Inhaltsverzeichnis

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.

Erscheinungsjahr:	2019
Fachbereich:	Allgemeines
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	488
Reihe:	Applied Mathematical Sciences
Inhalt:	xxix 454 S. 8 s/w Illustr. 42 farbige Illustr. 454 p. 50 illus. 42 illus. in color.
ISBN-13:	9783030038571
ISBN-10:	3030038572
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Feinberg, Martin
Auflage:	1st ed. 2019
Hersteller:	Springer International Publishing Springer International Publishing AG Applied Mathematical Sciences
Maße:	241 x 160 x 32 mm
Von/Mit:	Martin Feinberg
Erscheinungsdatum:	28.02.2019
Gewicht:	0,893 kg

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