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Fig. 6 | BMC Bioinformatics

Fig. 6

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

Fig. 6

Non-trivial circuits leading to synchronization: Fibonacci fiber (FF). a FF circuit is the FFF circuit with the additional edge from the fiber back to the regulator. In this example uxuR sends back to exuR, creating an extra loop in the circuit. Extra edge won’t change the fiber, therefore fibration will stay the same. b However, extra loop changes an input tree of fiber nodes. uxuR receives from itself and exuR, which in turn receives from uxuR, which creates an input tree with layer sizes following Fibonacci sequence. Branching ratio then defines the first fiber number and this FF is classified as \(|\varphi _d = 1.6180\ldots , \ell = 2 \rangle\). Note, node lgoR receives an input from exuR and then from uxuR, which means that even if there was no link from uxuR to lgoR, information would still be passed along through the regulator. This is another way how networks can process the information

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