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＜電子ブック＞
Foundations of Chemical Reaction Network Theory / by Martin Feinberg
(Applied Mathematical Sciences. ISSN:2196968X ; 202)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	XXIX, 454 p. 50 illus., 42 illus. in color : online resource
著者標目	*Feinberg, Martin author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Biotechnology LCSH:Biomathematics LCSH:Bioinformatics LCSH:Chemistry, Physical and theoretical LCSH:Chemistry, Technical FREE:Applications of Mathematics FREE:Chemical Bioengineering FREE:Mathematical and Computational Biology FREE:Computational and Systems Biology FREE:Theoretical Chemistry FREE:Industrial Chemistry
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-030-03858-8

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