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Table 3 Truth table for the conversion of regulatory functions into constraints for BLP

From: Designing optimal cell factories: integer programming couples elementary mode analysis with regulation

    Function / constraint
G a G b R (Ga OR Gb)R / [ (NOT Ga) OR Gb ]R / (Ga AND Gb)R / [ (NOT Ga) AND Gb]R /
    −1≤G a + G b −2R≤0 0≤G a + G b −2R≤1 0≤G a + G b −2R≤1 −1≤−G a + G b −2R≤0
0 0 0 0 * 0 0
0 0 1 * -2 * *
0 1 0 * * 1 *
0 1 1 -1 -1 * -1
1 0 0 * -1 1 -1
1 0 1 0 * * *
1 1 0 * * * 0
1 1 1 0 -2 0 *
  1. *Marks values outside the constraint range.