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Predictions from a stochastic polymer model for the MinDE protein dynamics in Escherichia coli



Predictions from a stochastic polymer model for the MinDE protein dynamics in Escherichia coli



Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 80(4 Pt 1): 041916



The spatiotemporal oscillations of the Min proteins in the bacterium Escherichia coli play an important role in cell division. A number of different models have been proposed to explain the dynamics from the underlying biochemistry. Here, we extend a previously described discrete polymer model from a deterministic to a stochastic formulation. We express the stochastic evolution of the oscillatory system as a map from the probability distribution of maximum polymer length in one period of the oscillation to the probability distribution of maximum polymer length half a period later and solve for the fixed point of the map with a combined analytical and numerical technique. This solution gives a theoretical prediction of the distributions of both lengths of the polar MinD zones and periods of oscillations--both of which are experimentally measurable. The model provides an interesting example of a stochastic hybrid system that is, in some limits, analytically tractable.

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Accession: 055106355

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PMID: 19905351

DOI: 10.1103/PhysRevE.80.041916


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