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Piecewise-linear models of genetic regulatory networks : Analysis of the carbon starvation response in Escherichia coli
Proceedings of the European Conference on Mathematical and Theoretical Biology (ECMTB) 2005, Mathematical Modeling of Biological Systems, Volume I. A. Deutsch, L. Brusch, H. Byrne, G. de Vries and H.-P. Herzel (eds), Birkhäuser, Boston, 83-96.
The adaptation of the growth of Escherichia coli to the availability of carbon source is controlled by a complex genetic regulatory network whose functioning is still little understood. Using a qualitative method based on piecewise-linear differential equations, which is able to overcome the current lack of quantitative data on kinetic parameters and molecular concentrations, we model the carbon starvation response network and simulate the response of E. coli cells to carbon deprivation. This allows us to identify essential features of the transition between exponential and stationary phase and to make new predictions on the qualitative system behavior, following a carbon upshift.
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