= Introduction = biblio A FAIRE We wished to build a model that could be used to help us design our biological system. We shall hereby describe the asumptions we made

Classical model and time resetting

• Classically we use the following equation to model gene interactions (see for example in [5]) :

where [Y] denotes the concentration of Y protein and γ its degradation rate (which unit is time^-1).

Effet sommatoire

• Yet, the flagella gene network has been thoroughly studied in [1]. We used two major results presented in this study. Firstly, Shiraz Kalir and Uri Alon came up with the fact that the promoters of class 2 genes, among which fliL, flgA and flhB, behaved like SUM-gate functions with flhDC and fliA inputs. Secondly, their experiments proved that these influences could be considered as linear. Thus the following model:

β and β’ represent the relative influence of flhDC and fliA respectively, the units of β and β’ being time^-1.

• Furthermore, they came up with numerical values of β and β’ for each gene, which fitted quite well to their experiments. We then decided that we could use those values as well in our model.

Use Hill quand on ne sait pas

Conclusion

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