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 kinds of phaseplanes,from one to three equilibrium points. when one equilibrium point,only one stable equilibrium point And, we need three equilibrium points for the toggle to be bistable.


パラメータによって相平面が変わり,平衡点が1つのときと3つのときがある. 平衡点が3つのときbistableになり,A状態,B状態ができる.

2.toggle model with hybrid promoter

3.AHL-experssing model

4.population model

5.poisson stochastic differential equation model