Tokyo/Works/Simulation

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What we have found so far

Wet experiments have determined Hill coefficients, coefficients of repression and activation of AHL and LacI（n2,n3,k2,k3) as follows.

n2 = 2.08 (-)
K2 = 4.05 (μM)
n3 = 2.47 (-)
K3 = 0.295 (μM)

パラメータλの値によって，AとBが共存して安定する場合と，Aのみ，Bのみになってしまう3つのパターンが生じる．それぞれのパターンについてシミュレーション結果を示すといFig.1-3のようになる．

Fig.1.A 　t=0.0(min)

Fig.1.B 　t=3.0(min)

Fig.1.C 　 t=30(min)　only A

Fig.2.A 　t=0.0(min)

Fig.2.B 　t=3.0(min)

Fig.2.C 　 t=30(min) A and B are coexistence!!

Fig.3.A 　t=0.0(min)

Fig.3.B 　t=3.0(min)

Fig.3.C 　 t=30(min)　only B

３パターンについて，nullclines が接する瞬間の相平面は以下のようになる．

Fig.4.A

Fig.4.B

Fig.4.C

Fig.4