58 Synthetic Gene Network: Modeling, Analysis, and Robust Design Methods
extrinsic noises. In this example, the parameters of evolutionary algorithm
are chosen as M=100, p
c
=0.9 and p
m
=0.2. The software MATLAB is used to
perform the simulation. After 100 generations, the best fi t design parameters
*
1
0.6042k =
,
*
2
0.8410k =
,
*
3
0.927
k =
,
*
4
0.2063k =
,
*
5
0.00001k =
,
*
6
0.8640k =
and
*
7
0.1235k =
are obtained by the proposed network evolutionary method
with the best fi tness
*4
( ) 1.09 10Fk
−
=×
. By Monte Carlo simulation with
50 rounds, the output of the synthetic gene network with the design
parameters under intrinsic parametric fl uctuations and extrinsic noises is
shown in Figure 4.8a. It can be seen that the synthetic gene network has
robust regulation ...