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Model construction
= 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).
- Then, we wanted to have a proper time scale. We then set the degradation rates, γ ,to 1. It is important to note that this degradation rate represents both the influence of the degradation and dilution. We assume that the degradation can be neglected compared to the dilution caused by the cell growth. Then we have:
- Since we can know easily the value of the real half-time, we may know the real timescale out of our computations. We kept the designation “degradation rate” for convenience, so as not to mix up with the dilution that occurs with the HSL in the synchronisation step.
Use Hill quand on ne sait pas
Conclusion
Liens
Back to the overall presentation of our Core System
Top of the page
Have a look at our detailed justification! Have a look at our Akaike criteria!
Bibliography
- [1] Shiraz Kalir, Uri Alon. Using quantitative blueprint to reprogram the dynamics of the flagella network. Cell, June 11, 2004, Vol.117, 713-720.
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