Power-law run length distributions obtained by superposing exponential distributions.

<p><b>A</b>): Nine exponential run length distributions for random walks with constant tumbling probabilities . The curves are plotted on double-logarithmic axes to demonstrate the power-law that results from their superposition. <b>B</b>): The superposition of the nine exponential distributions from A) leading to a power-law distribution (blue dots) with the exponent obtained by fitting (solid black line). The cumulative distribution of the same data is plotted in the inset. <b>C</b>): Combined run length distribution (blue dots) of the 9 bacteria from numerical simulations with constant CheR levels ( between 0.04 and 0.12, corresponding to the 9 values of from A)). The fitted exponent (solid black line) is again .