Tokyo/Formulation

From 2007.igem.org

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== [[Tokyo/Formulation/4.population model|4.population model]] ==
== [[Tokyo/Formulation/4.population model|4.population model]] ==
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1個体から複数個体にする.これにより,個体数Nの影響がでてくる.
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AHL
== [[Tokyo/Formulation/5.poisson stochastic differential equation model |5.poisson stochastic differential equation model ]] ==
== [[Tokyo/Formulation/5.poisson stochastic differential equation model |5.poisson stochastic differential equation model ]] ==

Revision as of 17:28, 20 October 2007

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

ahlの項が入ることにより,相平面がAHLの量に依存. パラメターの他にAHL量もbistableをとる大切なポイントになる. ある一定量AHLがないとbistableにならない.

3.AHL-experssing model

3本目の微分方程式が入ることにより,新たなパラメターλが出てくる. このλの値によって相平面が変化する.

4.population model

1個体から複数個体にする.これにより,個体数Nの影響がでてくる. AHL

5.poisson stochastic differential equation model