LEADER 04748nam 22006975 450 001 9910338248203321 005 20200706013347.0 010 $a3-030-03858-0 024 7 $a10.1007/978-3-030-03858-8 035 $a(CKB)4100000007598348 035 $a(DE-He213)978-3-030-03858-8 035 $a(MiAaPQ)EBC5667398 035 $a(PPN)233799869 035 $a(EXLCZ)994100000007598348 100 $a20190131d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFoundations of Chemical Reaction Network Theory /$fby Martin Feinberg 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XXIX, 454 p. 50 illus., 42 illus. in color.) 225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v202 311 $a3-030-03857-2 327 $aPart 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. 330 $aThis 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. 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