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dc.contributor.authorRoss, John-
dc.contributor.authorVillaverde, A. F.-
dc.contributor.authorBanga, Julio R.-
dc.contributor.authorVázquez, Sara-
dc.contributor.authorMorán, Federico-
dc.identifier.citationProceedings of the National Academy of Sciences 107: 12777-12781 (2010)es_ES
dc.description5 tablas, 3 figurases_ES
dc.description.abstractA generalized Fisher equation (GFE) relates the time derivative of the average of the intrinsic rate of growth to its variance. The GFE is an exact mathematical result that has been widely used in population dynamics and genetics, where it originated. Here we demonstrate that the GFE can also be useful in other fields, specifically in chemistry, with models of two chemical reaction systems for which the mechanisms and rate coefficients correspond reasonably well to experiments. A bad fit of the GFE can be a sign of high levels of measurement noise; for low or moderate levels of noise, fulfillment of the GFE is not degraded. Hence, the GFE presents a noise threshold that may be used to test the validity of experimental measurements without requiring any additional information. In a different approach information about the system (model) is included in the calculations. In that case, the discrepancy with the GFE can be used as an optimization criterion for the determination of rate coefficients in a given reaction mechanismes_ES
dc.description.sponsorshipThis work was partially supported by the National Science Foundation. A.F.V. and J.R.B. acknowledge financial support from Spanish Ministry of Research and Innovation (MICINN) Grant MultiSysBio (DPI2008-06880-C03-02) and European Union (EU) Grant BaSysBio (LSHG-CT-2006-037469). S.V. and F.M. acknowledge financial support from Grant BFU2009-12895-C02-02, MICINN, Spain. Sara Vázquez holds a Ph.D. fellowship from MICINN, Spain.es_ES
dc.publisherNational Academy of Sciences (U.S.)es_ES
dc.subjectOptimization procedureses_ES
dc.subjectNoise threshold estimationes_ES
dc.titleA generalized fisher equation and its utility in chemical kineticses_ES
dc.description.peerreviewedPeer reviewedes_ES
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