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High-gain nonlinear observer for simple genetic regulation process
LUIS ADOLFO TORRES GONZALEZ
VRANI IBARRA JUNQUERA
MARIA DEL PILAR ESCALANTE MINAKATA
HARET CODRATIAN ROSU
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1016/j.physa.2007.02.105
High-gain observer
Diffeomorphism
Gene regulation
Gene expression
"High-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 reg-ulation 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."
Elsevier
2007
Artículo
Inglés
Público en general
L.A. Torres, V. Ibarra-Junquera, P. Escalante-Minakata, H.C. Rosu, High-gain nonlinear observer for simple genetic regulation process, Physica A: Statistical Mechanics and its Applications, Volume 380, 2007, Pages 235-240, ISSN 0378-4371, http://dx.doi.org/10.1016/j.physa.2007.02.105.
CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
Versión aceptada
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Aparece en las colecciones: Publicaciones Científicas Nanociencias y Materiales

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