
3
Robust Synthetic Biology
Designs based on System
Dynamic Models
3.1 Robust Synthetic Biology Design to Satisfy Design
Specifications
Based on the stochastic gene network in (2.15) and the design specifi cations
(2.16)–(2.19) in previous chapter, we now can introduce the robust synthetic
biology design to satisfy design specifi cations. Our design goal is to choose
some kinetic parameters and decay rates in the stoichiometric matrix N from
the biologically feasible parameter range
12
,NN
[
]
such that the desired
steady state x
d
in (2.18) can be achieved, the stochastic parameter variations
()
1
m
ii i
i
Mg x dW
=
∑
can be robustly tolerated (stabilized), ...