From 2007.igem.org

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,