# Team:USTC/Modeling/Model-2

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# Team:USTC/Modeling/Model-2

## Contents |

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

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

**Parts:**

## **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 estimate the change of PoPS respond to the AHL_{in}.

For this system, the value of parameter d, 0.00847, could be estimated based on the measurement of the OD. For instance, when the concentration of AHL_{out} was zero, the value of d was 0.00368 per minute. 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.

With the help of USTC_Software, we succeeded to estimate the values of k_{3}, r_{AHLin}, C_{1}, C_{2}, C_{3} and C_{4}, using the data from our measurements. The simulation results as follows.

k3=0.8; rAHL=0.001; C1=1.5*10^(-10); C2=1*10^(10); C3=8*10^(-7); C4=5.8*10^(11)

In above picture, the dots were the measuring poingts in our system and the curves were the corresponding simulations to a particular concentration of AHL_{out}.

In above picture, the dots were the measuring poingts in our system and the surface was the corresponding simulation.