Tokyo/Formulation/2.toggle model with hybrid promoter

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<br>[[Tokyo/Works|Works top]]　　0.[[Tokyo/Works/Hybrid promoter|Hybrid promoter]]　　1.[[Tokyo/Works/Formulation |Formulation]]　　2.[[Tokyo/Works/Assay |Assay1]]　　3.[[Tokyo/Works/Simulation |Simulation]]　　4.[[Tokyo/Works/Assay2 |Assay2]]　　5.[[Tokyo/Works/Future works |Future works]]
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<br><br>'''Assay1'''　　[[Tokyo/Formulation/1.toggle model |Step1]]　　[[Tokyo/Formulation/2.toggle model with hybrid promoter |Step2]]　　[[Tokyo/Formulation/3.AHL-experssing model|Step3]]　　[[Tokyo/Formulation/4.population model|Step4]]　　[[Tokyo/Formulation/5.stochastic differential equation model with poisson random variables|Step5]]
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<br>[[Image:AHLresponse2-1.jpg|300px|none|thumb|Figure 2.1]]
<br>[[Image:AHLresponse2-1.jpg|300px|none|thumb|Figure 2.1]]

Revision as of 06:46, 25 October 2007


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

Assay1　　Step1　　Step2　　Step3　　Step4　　Step5


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！！！！！！！

Step.2 >> Step.3

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