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Simulation using a tube like geometry

The circumference of a bacterium is not negligible in relation to its axial extension. Even when initiated by random fluctuations, the proposed mechanism leads to a single band of MinE activity which travels perpendicular to the long axis of the cylinder. The following simulation shows one full localization cycle of MinD (green) and MinE (red).
As shown in the next sequence, this pattern is self-organizing. The bands form even from completely homogeneous initial conditions. Using the normal oscillations as measure, it would take 2-4 min for this organization to occur when using 1% random fluctuations in the production rates. Blue indicates the FtsZ ring. Due to the strong inhibition by MinC/D, a back-and-forth movement around the center occurs.