Min Oscillation in Escherichia coli with Spontaneous Formation of Two-Stranded Filaments in 3D Stochastic Reaction-Diffusion Model

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Abstract
We introduce 3D stochastic reaction-diffusion model to describe MinD/MinE dynamical structures in Escherichia coli. Model spontaneously generates pole-to-pole oscillations of the membrane-associated MinD proteins, MinE ring, as well as filaments of the membrane-associated MinD proteins. Experimental data suggest MinD filaments are two-stranded. In order to model them we assume that each membrane associated MinD protein can form up to three bonds with adjacent membrane associated MinD molecules and that MinE induced hydrolysis strongly depends on the number of bonds MinD has established.

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