Table 3 CTL formulae used for system verification of the regulatory network of cellular metabolic flexibility

Glucose Oxidation

((Glucose=1∧Pyruvate=0∧Citrate=0)→EX(Glucose=1∧Pyruvate=1))

∧

((Pyruvate=1∧PDC=1∧Acetyl- CoA=0)→EX(Pyruvate=1∧PDC=1∧Acetyl- CoA=1))

Fatty acid Oxidation

((Fatty Acids=1∧Malonyl- CoA=0∧Acetyl- CoA=0)→

EX(Fatty Acids=1∧Malonyl- CoA=0∧Acetyl- CoA=1))

Presence of PDK

((PDK=1∧PDC=1∧Pyruvate=1∧(Fatty Acids=0 | Malonyl- CoA=1)∧Acetyl- CoA=1)→

EF(PDK=1∧PDC=0∧(Fatty Acids=0 | Malonyl- CoA=1)∧Acetyl- CoA=0))

∧

((PDK=1∧(PDC=0 | Pyruvate=0)∧Fatty Acids=1∧Malonyl- CoA=0∧Acetyl- CoA=0)→

EX(PDK=1∧(PDC=0 | Pyruvate=0)∧Fatty Acids=1∧Malonyl- CoA=0∧Acetyl- CoA=1))

Absence of PDK

((PDK=0∧PDC=1∧Pyruvate=1∧(Fatty Acids=0 | Malonyl- CoA=1)∧Acetyl- CoA=0)→

EX(PDK=0∧PDC=1∧Pyruvate=1∧(Fatty Acids=0 | Malonyl- CoA=1)∧Acetyl- CoA=1))

∧

((PDK=0∧PDC=1∧Pyruvate=1∧Malonyl- CoA=0∧Acetyl- CoA=1)→

EF(PDK=0∧PDC=1∧Pyruvate=1∧Malonyl- CoA=1∧Acetyl- CoA=1))