Team:USTC/Modeling/Model-11

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Team:USTC/Modeling/Model-11

Contents


pConX3+mRFP+cI+pcI+LuxI+tetR+pConX1+LuxI+pConX2+LuxR+pLux/Tet+ccdB

Parts:


Model-11-1.jpg

Model-11-2.jpg

Model-11-3.jpg


Simplified Model-11

To get the datails of the model-processing, click Simplified Model-2

We employed an ODE model. In this system,we assumed the synthesis rate of TetR, LuxR, cI and LuxI were totally decided by the Promoter before them, and the concentration of them were constant.

Sm-11-1.jpg


To simplify the model, the (Recation S11-4), (Recation S11-5), (Recation S11-10), (Recation S11-12), (Recation S11-14), (Recation S11-15), (Recation S11-16), (Recation S11-17) and (Recation S11-18) were considered to be able to get balance in a very short time.


Sm11-2.jpg


From above equations, we can the change of PoPS respond to the AHLin.


Sm2-2.jpg


For this system, the value of parameter d, 0.004576, could be estimated based on the measurement of the OD.

The values of C1, C2, C3, C4, k3, and rAHL were same to be those of model-2, click here to the Simplified Model-2.

The values of 4.8E-3 per sec for rmG, 1.8E-3 per sec for a and 0.4 per sec for pG were got from the experiment conducted by Barry Canton and Anna Labno in 2004, click [http://partsregistry.org/Part:BBa_F2620:Experience/Endy/Data_analysis here] to the details.

SM5-3.jpg