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Stochastic model for cell polarity. (English) Zbl 1242.92021

Summary: Cell polarity refers to the spatial asymmetry of molecules on the cell membrane. S.J. Altschuler et al. [Nature 454, 886– 889 (23008)] 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 W.H. Fleming And M. Viot process [Indiana Univ. Math. J. 28, 817–843 (1979; Zbl 0444.60064)]. 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.

MSC:

92C37 Cell biology
60G57 Random measures
60J68 Superprocesses

Citations:

Zbl 0444.60064
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Full Text: DOI arXiv Euclid

References:

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