Stochastic model for cell polarity

Details Stochastic model for cell polarity Stochastic model for cell polarity

2010-03-06

arxiv.org/abs/1003.1404v5

Mathematics

Probability

Scientific paper

Cell polarity refers to the spatial asymmetry of molecules on the cell membrane. Altschuler, Angenent, Wang and Wu have proposed a stochastic model for studying the emergence of polarity in the presence of feedback between molecules. We analyze their model further by representing it as a model of an evolving population with interacting individuals. Under a suitable scaling of parameters, we show that in the infinite population limit we get a Fleming-Viot process. Using well-known results for such processes, we establish that cell polarity is exhibited by the model and also study its dependence on the biological parameters of the model.

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