Team:Wageningen UR/Project/ModelingProj1

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Synchronized Oscillatory System: modeling

Biological approach

Mathematical approach

Our first approach towards the modeling of our synchronized oscillatory system was to reproduce the model used by Danino et al. in the article "A synchronized quorum of genetic clocks", published in Nature in January 2010. This model will be further adapted to fit the specific devices and resources available for the Wageningen UR iGem Team 2011. Figure 1 shows theoretical oscillation obtained by the authors of the paper and depicts "A typical time series of concentrations of LuxI (cyan circles), AiiA (blue circles), internal AHL (green line) and external AHL (red line)."


Graph from the paper "A synchronized quorum of genetic clocks", Tal Danino, Octavio Mondragón-Palomino, Lev Tsimring2 & Jeff Hasty, Nature, January 2010

The graph was created using 4 delay differential equations, which were plotted in matlab by the modeling team, obtaining figure 2 as shown below.

Reproduction of the oscillatory model done in MATLAB.
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