Figure 8.

Binary logic representation of the circuits obtained in Figure 5. The additional elements appended at each step are indicated using black colored logic gates. Observe that at each step, the OptCircuit framework appends an OR gate followed by a NOT gate to generate the required response. The OR gate serves to integrate the indirect effect of the expression under corresponding inducer conditions. A legend describing the representation of the logic gates is presented in supplementary material (see Additional file 1, Figure S2).