High-gain nonlinear observer for simple genetic regulation process

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dc.creatorTorres, L. A.
dc.creatorIbarra-Junquera, V.
dc.creatorEscalante-Minakata, P.
dc.creatorRosu, H. C.
dc.date2004-09-29
dc.date2007-07-16
dc.date.accessioned2026-07-07T08:18:19Z
dc.date.available2026-07-07T08:18:19Z
dc.descriptionHigh-gain nonlinear observers occur in the nonlinear automatic control theory and are in standard usage in chemical engineering processes. We apply such a type of analysis in the context of a very simple one-gene regulation circuit. In general, an observer combines an analytical differential-equation-based model with partial measurement of the system in order to estimate the non-measured state variables. We use one of the simplest observers, that of Gauthier et al., which is a copy of the original system plus a correction term which is easy to calculate. For the illustration of this procedure, we employ a biological model, recently adapted from Goodwin's old book by De Jong, in which one plays with the dynamics of the concentrations of the messenger RNA coding for a given protein, the protein itself, and a single metabolite. Using the observer instead of the metabolite, it is possible to rebuild the non-measured concentrations of the mRNA and the protein
dc.description9 pages, one figure
dc.identifierhttps://arxiv.org/abs/q-bio/0409036
dc.identifierhttp://arxiv.org/abs/q-bio/0409036
dc.identifierPhysica A 380 (2007) 235-240
dc.identifierdoi:10.1016/j.physa.2007.02.105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134391
dc.subjectQuantitative Methods
dc.subjectMolecular Networks
dc.titleHigh-gain nonlinear observer for simple genetic regulation process
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