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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.