# Team:USTC/Modeling/Model-5

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# Team:USTC/Modeling/Model-5

## Contents |

## **pConX**_{1}+LuxI+pConX_{2}+LuxR+pLux/Tet+GFP

_{1}+LuxI+pConX

_{2}+LuxR+pLux/Tet+GFP

**Parts:**

## **Simplified Model-5**

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

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

To simplify the model, the (Recation S2-4), (Recation S2-5) and (Recation S2-6) were considered to be able to get balance in a very short time.

From above equations, we can the change of PoPS respond to the AHL_{in}.

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

The values of C_{1}, C_{2}, C_{3}, C_{4}, k_{3}, 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 here to the details.

Conbining the data from our measurements and the parameters estimated in **Simplified Model-2**, we could be able to get the parameter k_{21}.