Team:USTC/Modeling/Model-2

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Team:USTC/Modeling/Model-2

Contents


pConX2+LuxR+pLux/Tet+GFP

Parts:


Model-2-2.jpg

Simplified Model-2

We employed an ODE model. We defined the input to be AHLout the and the output to be the synthesis rate of mature GFP. In this system,we assumed the concentration of the LuxR was constant.

S-m-2-1.jpg


To simplify the model, the (Recation S2-4), (Recation S2-5) and (Recation S2-4) were considered to be able to get balance in a very short time.


Sm2-1-1-2.jpg


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


Sm2-2.jpg


For a particular concentration of AHLout, the value of parameter d could be estimated based on the measurement of the OD. For instance, when the concentration of AHLout was zero, the value of d was 0.00368 per minute. The values of 4.8E-3 per sec for rmG, 4.8E-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 detail.

SM2-3.jpg

Useing the data from our experiments, we succeeded to estimate the values of . The simulation results as follows.

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