Tokyo/Formulation/4.population model
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(Difference between revisions)
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また，AHLは細胞膜をfreelyに透過と論文に記載あり．よって，細胞の中と外のAHLは同じとした． | また，AHLは細胞膜をfreelyに透過と論文に記載あり．よって，細胞の中と外のAHLは同じとした． | ||
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| + | Next, introduce the equation with the number of the cells expressed as n. | ||
| + | Here the concentration of AHL is assumed the same inside and outside of a cell according to the description that AHL is freely permiable through cell membrane in the referenced article. | ||
<br>[[Image:expression4-1.jpg|400px|]] | <br>[[Image:expression4-1.jpg|400px|]] | ||
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<br>定常状態では， | <br>定常状態では， | ||
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| + | <br>Analyze the phaseplane with the focus on an individual among n cells. | ||
| + | <br>In the steady state, | ||
<br>[[Image:expression4-2.jpg|400px|]] | <br>[[Image:expression4-2.jpg|400px|]] | ||
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<br>パラメータは右の表の値を用いた．相平面解析を行った結果， | <br>パラメータは右の表の値を用いた．相平面解析を行った結果， | ||
| + | <br>Parameter was determined by the values in the right column. The result of the phaseplane analysis, | ||
Revision as of 04:37, 22 October 2007
次に，個体数をN個体にした式で表してみる．
また，AHLは細胞膜をfreelyに透過と論文に記載あり．よって，細胞の中と外のAHLは同じとした．
Next, introduce the equation with the number of the cells expressed as n. Here the concentration of AHL is assumed the same inside and outside of a cell according to the description that AHL is freely permiable through cell membrane in the referenced article.
ここでもこれまでと同様相平面解析を行う．その際，N個体中の１個体に着目して相平面解析を行う.
定常状態では，
Analyze the phaseplane with the focus on an individual among n cells.
In the steady state,
となり，3番目の式を2番目の式に代入する．
パラメータは右の表の値を用いた．相平面解析を行った結果，
Parameter was determined by the values in the right column. The result of the phaseplane analysis,
