Tokyo/Formulation

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Contents

1.toggle model

First,we analysis the simple dimentionless toggle model. We use the phaseplane analysis to understand the quantitative behavior of the toggle switch. As a result,the toggle model has three phaseplanes,from one to three equilibrium points. And, we need three equilibrium points for the toggle model to be bistable.

2.toggle model with hybrid promoter

3.AHL-experssing model

4.population model

5.poisson stochastic differential equation model