Tokyo/Formulation/2.toggle model with hybrid promoter
From 2007.igem.org
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.
The ideal behavior shown in the figure below is:
- 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,that at the B state keep the B state.
実際に，式を解いて相平面を書いてみると図のようになる．
The phaseplane drawn by solving the equations is the following:
