Fig. 2From: Predicting synchronized gene coexpression patterns from fibration symmetries in gene regulatory networks in bacteriaTrivial circuits leading to synchronization: Regulons with co-regulation. a Genes cbpAM, gltX, gyrB and msrA are controlled by the same TF (fis). Fiber numbers describing this circuit are \(|n = 0, \ell = 1 \rangle\) since there are no loops and fiber has 1 regulator. Gene activity can synchronize, because any two nodes can be permuted without the change in the network under the \(S_4\) symmetry group. fis won’t be synchronized with cbpAM, gltX, gyrB, msrA, because it can’t be permuted with any of the genes without changing network. b Regulon circuit consisting of genes clrA, fiu and operons entCEBAH, fepA-entD controlled by two regulators crp and fis also synchronizes, because symmetry group \(S_4\) is conserved irregardless of the number of the regulators. In this case fiber has two regulators and no loops and therefore is characterized by fiber numbers \(|n = 0, \ell = 2 \rangle\)Back to article page