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Fig. 3 | BMC Bioinformatics

Fig. 3

From: Predicting synchronized gene coexpression patterns from fibration symmetries in gene regulatory networks in bacteria

Fig. 3

Non-trivial circuits leading to synchronization: AR loop with regulon. a Genes aroH and trpLEDCBA can be permuted under \(S_2\) symmetry group, while trpR can’t be permuted with them without changing the network. b trpR receives input only from itself, therefore its input tree is an infinite chain. aroH and trpLEDCBA receive input from trpR, that in turn receives input from itself turning these input trees into chains too. Therefore, input trees of all 3 genes are isomorphic to each other. Thus, aroH, trpLEDCBA and trpR belong to the same fiber and can synchronize their activity. Circuit has one loop and no external regulators, therefore it is classified as \(|n = 1, \ell = 0 \rangle\)

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