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We introduce a three-dimensional stochastic reaction-diffusion model todescribe MinD/MinE dynamical structures in Escherichia coli. This modelspontaneously generates pole-to-pole oscillations of the membrane-associatedMinD proteins, MinE ring, as well as filaments of the membrane-associated MinDproteins. Experimental data suggest MinD filaments are two-stranded. In orderto model them we assume that each membrane-associated MinD protein can form upto three bonds with adjacent membrane associated MinD molecules and that MinEinduced hydrolysis strongly depends on the number of bonds MinD hasestablished.Comment: Corrected typos, changed conten

physical review. e, statistical, nonlinear and soft matter physics

Min-protein oscillations in<i>Escherichia coli</i>with spontaneous formation of two-stranded filaments in a three-dimensional stochastic reaction-diffusion model

Min-protein oscillations inEscherichia coliwith spontaneous formation of two-stranded filaments in a three-dimensional stochastic reaction-diffusion model