Team:USTC Software/WhatCooperation
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IntroductionWe help USTC Wet Team identify the kinetic parameters in pConX_{2}+LuxR+pLux/Tet+GFP device. The completion of this model are a result of collaboration. With the permission from both teams, we share the source code of this description page together pConX_{2}+LuxR+pLux/Tet+GFPParts: BBa_K176026BBa_K176126 BBa_K176128 BBa_K176130 Reactions and ODE
A Simplified ModelWe 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 S24), (Recation S25) and (Recation S26) 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, 0.00847, 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 4.8E3 per sec for rmG, 1.8E3 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.
Identification ResultsWith the help of USTC Wet Team, we succeeded to estimate the values of k_{3}, r_{AHLin}, C_{1}, C_{2}, C_{3} and C_{4}. The simulation results as follows. Parametersk3=0.8; rAHL=0.001; C1=1.5*10^(10); C2=1*10^(10); C3=8*10^(7); C4=5.8*10^(11) Identification Results Comparison With Raw DataIn this 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 picture below, the dots were the measuring poingts in our system and the surface was the corresponding simulation.
