| Abstract | In the bacterium E.coli, a group of proteins - the Min proteins - play an important role in reliable cell division. The proteins show a complex spatio-temporal oscillation pattern and have attracted a lot of attention from theoreticians in search for the underlying mechanisms. Most of the models proposed so far are based on variants of reaction diffusion systems. Here, we will analyse the stochastic version of a different kind of model for this oscillation - a simple model where the Min proteins are assumed to be organised in polymers. The dynamics can be described in the framework of a stochastic hybrid system which we solve analytically in the biologically relevant limit. We provide distribution functions for quantities that can easily be obtained experimentally and can serve as a testing ground for the model. |
|---|
