Tokyo/Formulation/2.toggle model with hybrid promoter

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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●:


Figure 2.3.A
Figure 2.3.B
Figure 2.3.C




分岐図を載せる！！！！！！！

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