caa a22 4500 445330422 CHVBK 20180317142735.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00285-010-0343-y doi (NATIONALLICENCE)springer-10.1007/s00285-010-0343-y Control design for sustained oscillation in a two-gene regulatory network [Elektronische Daten] [Roderick Edwards, Sehjeong Kim, P. van den Driessche] Control strategies for gene regulatory networks have begun to be explored, both experimentally and theoretically, with implications for control of disease as well as for synthetic biology. Recent work has focussed on controls designed to achieve desired stationary states. Another useful objective, however, is the initiation of sustained oscillations in systems where oscillations are normally damped, or even not present. Alternatively, it may be desired to suppress (by damping) oscillations that naturally occur in an uncontrolled network. Here we address these questions in the context of piecewise-affine models of gene regulatory networks with affine controls that match the qualitative nature of the model. In the case of two genes with a single relevant protein concentration threshold per gene, we find that control of production terms (constant control) is effective in generating or suppressing sustained oscillations, while control of decay terms (linear control) is not effective. We derive an easily calculated condition to determine an effective constant control. As an example, we apply our analysis to a model of the carbon response network in Escherichia coli, reduced to the two genes that are essential in understanding its behavior. Springer-Verlag, 2010 Gene regulatory networks nationallicence Piecewise-affine systems nationallicence Feedback control nationallicence Oscillations nationallicence Edwards Roderick Department of Mathematics and Statistics, University of Victoria, PO BOX 3060, STN CSC, Victoria, BC, Canada aut Kim Sehjeong Department of Mathematics and Statistics, University of Victoria, PO BOX 3060, STN CSC, Victoria, BC, Canada aut van den Driessche P. Department of Mathematics and Statistics, University of Victoria, PO BOX 3060, STN CSC, Victoria, BC, Canada aut Journal of Mathematical Biology Springer-Verlag 62/4(2011-04-01), 453-478 0303-6812 62:4<453 2011 62 285 https://doi.org/10.1007/s00285-010-0343-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0343-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Edwards Roderick Department of Mathematics and Statistics, University of Victoria, PO BOX 3060, STN CSC, Victoria, BC, Canada aut NATIONALLICENCE 700 1- Kim Sehjeong Department of Mathematics and Statistics, University of Victoria, PO BOX 3060, STN CSC, Victoria, BC, Canada aut NATIONALLICENCE 700 1- van den Driessche P. Department of Mathematics and Statistics, University of Victoria, PO BOX 3060, STN CSC, Victoria, BC, Canada aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 62/4(2011-04-01), 453-478 0303-6812 62:4<453 2011 62 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer