Tokyo/Hill function fitting

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<ヒル関数の導出>

Deviation of Hill function

Ex.6.1

1.Hill function for the activator AHL

Figure 1

Without the repression by LacI( [LacI]=0 ), Ex.6.1 was described as

Ex.6.2

Therefore, in the steady state the Hill function for the activator AHL was given as

Ex.6.3

Ex.6.4

2.Hill function for the repressor LacI

Figure 2

When the concentration of AHL was assumed to be infinity, Ex.6.1 was described as

Ex.6.5

Therefore, in the steady state the Hill function for the repressor LacI was given as

Ex.6.6

Ex.6.7