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dc.provenanceCONICET-
dc.creatorPérez Millán, Mercedes Soledad-
dc.creatorDickenstein, Alicia Marcela-
dc.date2018-03-07T15:11:26Z-
dc.date2018-03-07T15:11:26Z-
dc.date2015-06-
dc.date2018-03-02T14:21:37Z-
dc.date.accessioned2019-04-29T15:39:16Z-
dc.date.available2019-04-29T15:39:16Z-
dc.date.issued2015-06-
dc.identifierPérez Millán, Mercedes Soledad; Dickenstein, Alicia Marcela; Implicit dose-response curves; Springer; Journal of Mathematical Biology; 70; 7; 6-2015; 1669-1684-
dc.identifier0303-6812-
dc.identifierhttp://hdl.handle.net/11336/38111-
dc.identifier1432-1416-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/298654-
dc.descriptionWe develop tools from computational algebraic geometry for the study of steady state features of autonomous polynomial dynamical systems via elimination of variables. In particular, we obtain nontrivial bounds for the steady state concentration of a given species in biochemical reaction networks with mass-action kinetics. This species is understood as the output of the network and we thus bound the maximal response of the system. The improved bounds give smaller starting boxes to launch numerical methods. We apply our results to the sequential enzymatic network studied in Markevich et al. (J Cell Biol 164(3):353–359, 2004) to find nontrivial upper bounds for the different substrate concentrations at steady state. Our approach does not require any simulation, analytical expression to describe the output in terms of the input, or the absence of multistationarity. Instead, we show how to extract information from effectively computable implicit dose-response curves, with the use of resultants and discriminants. We moreover illustrate in the application to an enzymatic network, the relation between the exact implicit dose-response curve we obtain symbolically and the standard hysteresis diagram provided by a numerical ode solver. The setting and tools we propose could yield many other results adapted to any autonomous polynomial dynamical system, beyond those where it is possible to get explicit expressions.-
dc.descriptionFil: Pérez Millán, Mercedes Soledad. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina-
dc.descriptionFil: Dickenstein, Alicia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherSpringer-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00285-014-0809-4-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00285-014-0809-4-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1401.8028-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.source.urihttp://hdl.handle.net/11336/38111-
dc.subjectBOUNDS-
dc.subjectCHEMICAL REACTION NETWORKS-
dc.subjectMAXIMAL RESPONSE-
dc.subjectRESULTANTS-
dc.subjectSTEADY STATES-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleImplicit dose-response curves-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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