Tokyo/Formulation/3.AHL-experssing model

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Works top　　0.Hybrid promoter　　1.Formulation　　2.Assay1　　3.Simulation　　4.Assay2　　5.Future works

Assay1　　Step1　　Step2　　Step3　　Step4　　Step5

The differential equaitons of the system considering AHL produced by E.coli themselves were given as

Ex 3-1

Table 3

These equations were normalized as follows:

Ex 3-2

In the steady state,time derivatives are zero.As a result,the nullclines of this system were derived as

Ex 3-3

By substituting the third equation into the second,the nullclines for Ra and Rb were obtained as

Ex 3-4

Therefore, the phase plane of this system can be plotted as Fig● and the number of equilibrium points were decided by the value of the parameters:

Figure 3.1.A

Figure 3.1.B

Figure 3.1.C

Step.3 >> Step.4