Tokyo/Formulation/2.toggle model with hybrid promoter
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<br>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 | <br>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 | ||
| - | <br>[[Image:expression2- | + | <br>[[Image:expression2-3.jpg|300px|]] |
<br>where the factor surrounded in the orange box represents the activation of promoter B. | <br>where the factor surrounded in the orange box represents the activation of promoter B. | ||
| + | <br>These equations were normalized as follows: | ||
| - | <br> | + | <br>[[Image:expression2-4.jpg|250px|]] |
| + | |||
| + | <br>Figure● represent the our thinking behavior of this system. | ||
<br>- 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. | <br>- 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. | ||
| - | <br>- with hign concentration of AHL, both A and B states are stable.The cells at the A state keep the A state | + | <br>- 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. |
<br>[[Image:AHLresponse2-2.jpg|300px|]] | <br>[[Image:AHLresponse2-2.jpg|300px|]] | ||
| - | + | <br>The phase plane and the bifurcation are shown in Fig●: | |
| - | <br>The | + | |
| - | + | ||
| - | + | ||
| - | + | ||
<br>[[Image:AHLresponse2-3.jpg|330px|]][[Image:AHLresponse2-4.jpg|300px|]][[Image:AHLresponse2-5.jpg|300px|]] | <br>[[Image:AHLresponse2-3.jpg|330px|]][[Image:AHLresponse2-4.jpg|300px|]][[Image:AHLresponse2-5.jpg|300px|]] | ||
| + | <br>分岐図を載せる！！！！！！！ | ||
Revision as of 13:20, 23 October 2007
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
where the factor surrounded in the orange box represents the activation of promoter B.
These equations were normalized as follows:
Figure● 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.
The phase plane and the bifurcation are shown in Fig●:
分岐図を載せる！！！！！！！
