Team:Bologna/Modeling
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Mathematical Model
The genetic circuit in Figure 1 can be modeled with the following equations:
Where:
In the model we distinguish between LacI protein binded to repressor IPTG () and protein free ().
Placing:
The dimensionless equations are:
Hypothesizing: to be under conditions of equilibrium;
all the entries are void (); the affinity of the repressor for the operator site is high, for as we have been defined it will surely be smaller of one so ;the cooperativity is the same both for the LacI and for TetR and it is worth 2; the equations become: