dorsal/arxiv
View SchemaHigh-gain nonlinear observer for simple genetic regulation process
| Authors | L. A. Torres, V. Ibarra-Junquera, P. Escalante-Minakata, H. C. Rosu |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0409036 |
| URL | https://arxiv.org/abs/q-bio/0409036 |
| DOI | 10.1016/j.physa.2007.02.105 |
| Journal | Physica A 380 (2007) 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
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"abstract": "High-gain nonlinear observers occur in the nonlinear automatic control theory\nand are in standard usage in chemical engineering processes. We apply such a\ntype of analysis in the context of a very simple one-gene regulation circuit.\nIn general, an observer combines an analytical differential-equation-based\nmodel with partial measurement of the system in order to estimate the\nnon-measured state variables. We use one of the simplest observers, that of\nGauthier et al., which is a copy of the original system plus a correction term\nwhich is easy to calculate. For the illustration of this procedure, we employ a\nbiological model, recently adapted from Goodwin\u0027s old book by De Jong, in which\none plays with the dynamics of the concentrations of the messenger RNA coding\nfor a given protein, the protein itself, and a single metabolite. Using the\nobserver instead of the metabolite, it is possible to rebuild the non-measured\nconcentrations of the mRNA and the protein",
"arxiv_id": "q-bio/0409036",
"authors": [
"L. A. Torres",
"V. Ibarra-Junquera",
"P. Escalante-Minakata",
"H. C. Rosu"
],
"categories": [
"q-bio.QM",
"q-bio.MN"
],
"doi": "10.1016/j.physa.2007.02.105",
"journal_ref": "Physica A 380 (2007) 235-240",
"title": "High-gain nonlinear observer for simple genetic regulation process",
"url": "https://arxiv.org/abs/q-bio/0409036"
},
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