Tokyo/Formulation
From 2007.igem.org
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== [[Tokyo/Formulation/1.toggle model |1.toggle model]] == | == [[Tokyo/Formulation/1.toggle model |1.toggle model]] == | ||
| - | First,we analysis the simple dimentionless toggle model. | + | <--First,we analysis the simple dimentionless toggle model. |
We use the phaseplane analysis to understand the quantitative behavior of the toggle switch. | 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 | 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. | + | And, we need three equilibrium points for the toggle to be bistable.--> |
Revision as of 17:33, 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． AHLの式はfreelyと仮定して，大腸菌内と外とを区別していない．これで十分．
4.population model
次元をもったちゃんとした式．
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の量がごっと増える．
ただし，deterministicなため全個体同じ動き．我々のモデルはこれではみれない． stochasticなシミュレーションが要求される．
