Team:Bologna/Modeling
From 2008.igem.org
Revision as of 15:34, 16 October 2008 by Mavi.amaduzzi (Talk | contribs)
HOME | THE PROJECT | THE TEAM | PARTS SUBMITTED TO THE REGISTRY | MODELING | NOTEBOOK | BIOSAFETY |
---|
Contents |
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 .
Since and considering the law of mass action we can write .
Posing:
The equations (1.1) and (1.2) can be written in adimensional form:
Equibrium conditions
If we assume that:
- 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 ;
Placing:
The dimensionless equations are:
Equibrium conditions
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: