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 $aThis book provides an authoritative introduction to the rapidly growing field of chemical reaction network theory. In particular, the book presents deep and surprising theorems that relate the graphical and algebraic structure of a reaction network to qualitative properties of the intricate system of nonlinear differential equations that the network induces. Over the course of three main parts, Feinberg provides a gradual transition from a tutorial on the basics of reaction network theory, to a survey of some of its principal theorems, and, finally, to a discussion of the theory?s more technical aspects. Written with great clarity, this book will be of value to mathematicians and to mathematically-inclined biologists, chemists, physicists, and engineers who want to contribute to chemical reaction network theory or make use of its powerful results. 410 0$aApplied Mathematical Sciences,$x0066-5452 ;$v202 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aBiochemical engineering 606 $aBiomathematics 606 $aSystems biology 606 $aChemistry, Physical and theoretical 606 $aChemical engineering 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aBiochemical Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/C12029 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aSystems Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/L15010 606 $aTheoretical and Computational Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C25007 606 $aIndustrial Chemistry/Chemical Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/C27000 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aBiochemical engineering. 615 0$aBiomathematics. 615 0$aSystems biology. 615 0$aChemistry, Physical and theoretical. 615 0$aChemical engineering. 615 14$aApplications of Mathematics. 615 24$aBiochemical Engineering. 615 24$aMathematical and Computational Biology. 615 24$aSystems Biology. 615 24$aTheoretical and Computational Chemistry. 615 24$aIndustrial Chemistry/Chemical Engineering. 676 $a519 700 $aFeinberg$b Martin$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781330 906 $aBOOK 912 $a9910338248203321 996 $aFoundations of Chemical Reaction Network Theory$91732471 997 $aUNINA