
194 Synthetic Gene Network: Modeling, Analysis, and Robust Design Methods
Chapter 6
0 20 40 60 80 100 120
10
6
10
7
Time (h)
Fluorescence of yEGFP
The mos t adequate promoter set c
*
=(c
1
*
, c
2
*
, c
3
*
)=(J
4
, T
2
, L
1
)
←
add IP TG
remove IP TG
→
Induction of IP TG
y(c
*
, t)
y
r
(t)
Figure 6.2. Simulation results for synthetic transcription cascade design. The most adequate
promoter set
****
123 4 2 1
{, , }{ , , }cccc JTL==
is obtained via library-based search method through
GA. The system behavior
()
*
,yc t
of the gene network employs the most adequate promoter
set c* to track the desired reference trajectory
()
r
yt
, which is at high from 40 to 80 hours and
at low in other ...