Tokyo/Hill function fitting

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Revision as of 04:20, 25 October 2007

<ヒル関数の導出>

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

However, the amount of LacI cannot be actually measured.So,we used the inducer IPTG to estimate the Hill function for LacI.

@@ Line 22: / Line 22: @@
 <br>[[Image:expression6-7.JPG|300px|none|thumb|Ex.6.6]]
 <br>[[Image:expression6-10-3.JPG|300px|none|thumb|Ex.6.7]]
+<br>However, the amount of LacI cannot be actually measured.So,we used the inducer IPTG to  estimate the Hill function for LacI.
-<br>[[Image:expression6-2.JPG|300px|]]
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 <br>[[Image:expression6-8.JPG|300px|]]
 <br>[[Image:expression6-9.JPG|300px|]]
+<br>[[Image:expression6-2.JPG|300px|]]