High-gain nonlinear observer for simple genetic regulation process

L.A. Torres, V. Ibarra-Junquera, P. Escalante-Minakata and H.C. Rosu

Physica A: Statistical Mechanics and its Applications, 2007, vol. 380, issue C, 235-240

Abstract: 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 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.

Keywords: High-gain observer; Diffeomorphism; Gene regulation; Gene expression (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:380:y:2007:i:c:p:235-240

DOI: 10.1016/j.physa.2007.02.105

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