Proposed simple chemical reaction network of existing biological E. coli signaling data

Bacteria have been found to exhibit a behaviour characterized by statistics and can be described by power-law distributions. For example, E. coli bacteria have an appendage called a flagellum, an appendage that works as a screw-propeller of the cell, which rotates at intrinsically random time intervals distributed according to a power law. What is so special in the power-law distributions and the ability of bacteria to produce them?

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