
132 Synthetic Gene Network: Modeling, Analysis, and Robust Design Methods
Figure 7.4. Monte Carlo simulation result of a biological low-pass fi lter displayed as the average
of 1000 runs. By minimizing the cost function in (7.10) for the biological low-pass fi lter in
Figure 7.3, the most adequate set
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, , , , , , 2.125 10 mM
LT
f pRpRpRI C R R ATc
−
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is selected from the corresponding libraries. The blue solid line is the Monte Carlo simulation
result displayed as the average of 1000 runs. The red dashed line is the desired I/O response
generated by equation (7.8). The red solid line indicates the low-pass threshold of the ...