
142 Synthetic Gene Network: Modeling, Analysis, and Robust Design Methods
()
()
()
()
()
()
()()
()
()
11
22 2
22 1 3
14
1, 1
21 , , 11 2
11 , , 11 1 ,
11 1 1 ,
212
,, ,
,, ,
()
,
repressor const u c repressor s
repressor repressor u c l c repressor repressor s
repressor u c l c repressor im x s
mx s
repre
xPS v
xIPSSxI v
xI P S S x I m v
gI m x v
xII P
mg
mg
mg
mg
=++
=++
=+++
=◊ + +
=
()
()
()
()
33 2 5
26
,, 22 2 ,
212 2 2 ,
123
,, ,
,
, , and
ssor u c l c repressor im x s
mx s
const repressor
SSx I m v
gII mx v
cLib c cLib
mg
mg
Ï
Ô
Ô
Ô
Ô
Ô
Ì
Ô
Ô
++ +
Ô
Ô
Ô
=◊ + +
Ó
ŒŒ
,
(7.19)
where
i
s
v
,
1, 2, , 6i =
denote the noises at the steady state.
From (7.19), if
12
mm≈
,
12
,,mx mx
ggª
and
12
,,im x im x
ggª
, then the I/O ...