dc.creatorCraciun, Gheorghe
dc.creatorDickenstein, Alicia Marcela
dc.creatorShiu, Anne
dc.creatorSturmfels, Bernd
dc.date.accessioned2022-02-04T01:51:49Z
dc.date.accessioned2022-10-15T13:43:59Z
dc.date.available2022-02-04T01:51:49Z
dc.date.available2022-10-15T13:43:59Z
dc.date.created2022-02-04T01:51:49Z
dc.date.issued2009-05
dc.identifierCraciun, Gheorghe; Dickenstein, Alicia Marcela; Shiu, Anne; Sturmfels, Bernd; Toric dynamical systems; Academic Press Ltd - Elsevier Science Ltd; Journal Of Symbolic Computation; 44; 11; 5-2009; 1551-1565
dc.identifier0747-7171
dc.identifierhttp://hdl.handle.net/11336/151319
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4392812
dc.description.abstractToric dynamical systems are known as complex balancing mass action systems in the mathematical chemistry literature, where many of their remarkable properties have been established. They include as special cases all deficiency zero systems and all detailed balancing systems. One feature is that the steady state locus of a toric dynamical system is a toric variety, which has a unique point within each invariant polyhedron. We develop the basic theory of toric dynamical systems in the context of computational algebraic geometry and show that the associated moduli space is also a toric variety. It is conjectured that the complex balancing state is a global attractor. We prove this for detailed balancing systems whose invariant polyhedron is two-dimensional and bounded.
dc.languageeng
dc.publisherAcademic Press Ltd - Elsevier Science Ltd
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.jsc.2008.08.006
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0747717109000923?via%3Dihub
dc.relationinfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/0708.3431
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCHEMICAL REACTION NETWORK
dc.subjectTORIC IDEAL
dc.subjectCOMPLEX BALANCING
dc.subjectDETAILED BALANCING
dc.subjectDEFICIENCY ZERO
dc.subjectTRAJECTORY
dc.subjectBIRCH’S THEOREM
dc.subjectMATRIX-TREE THEOREM
dc.subjectMODULI SPACE
dc.subjectPOLYHEDRON
dc.titleToric dynamical systems
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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