
122 Synthetic Gene Network: Modeling, Analysis, and Robust Design Methods
fi lter in (7.1), which has a set of promoter-RBS components C
1i
, R
2i
, and R
3i
selected from the promoter-RBS libraries
const
Lib
,
1repressor
Lib
, and
2repressor
Lib
,
respectively, is rewritten as follows
1
2
3
11, 11
22,2,11 22
33,3,22 33
34
1, 2
() ( ,0,0,0) ( ) () ()
() ( , , , ) ( ) () ()
() ( , , , ) ( ) () ()
() () ( ) () ()
{} ,
r
r
rcui xr
rruilir xr
ruilir x
G
u i const
xt PS xt t
xt PS S xI xt t
xt PS S x I m xt t
Gt mx t Gt t
SLibS
mg w
mg w
mg w
mg w
=-++
Ï
Ô
=-++
Ô
Ì
=-+++
Ô
Ô
=-+ +
Ó
Œ
{} {}
2
1
,2, 1 3,3, 2
1, 1,
2, 2,
*
1
2 , 2, 1 1 2, 1 1 1
*
1
111
2
3,
3 , 3, 2 2 3,
,,,
( ,0, 0,0)
(,,,) ,(,)
(,)
1
1
(,,,)
r
u i