Min-protein oscillations in Escherichia coli with spontaneous formation   of two-stranded filaments in a three-dimensional stochastic   reaction-diffusion model
  We introduce a three-dimensional stochastic reaction-diffusion model to describe MinD/MinE dynamical structures in Escherichia coli. This 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. 
Nenad Pavin, Hana Cipcic Paljetak, Vladimir Krstic