Tokyo/Formulation/2.toggle model with hybrid promoter

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

Step1　　Step2　　Step3　　

Step.2 Single cell model with hybrid promoter

Figure 2.1

Assuming the system where E. coli does not produce AHL by themselves, we have observed the system's reaction to ab extra AHL. The ODEs were obtained as

Ex 2-1

where the factor surrounded in the orange box represents the activation of promoter B.
These equations were normalized as follows:

Ex2-2

Fig 2.2 represent the our thinking behavior of this system.
- with low concentration of AHL, the B state becomes unstable. so that the cells at the B state move to the A state which is stable.
- with hign concentration of AHL, both A and B states are stable.The cells at the A state keep the A state and that at the B state keep the B state.　

Figure 2.2

The phase plane and the bifurcation are shown in Fig.2.3.A-C and Fig.2.4:

Figure 2.3.A [AHL]=1.0 (a.u.)

Figure 2.3.B [AHL]=1.7 (a.u.)

Figure 2.3.C [AHL]=15 (a.u.)

Figure 2.4

Step.2 >> Step.3