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April 2012 Stochastic model for cell polarity
Ankit Gupta
Ann. Appl. Probab. 22(2): 827-859 (April 2012). DOI: 10.1214/11-AAP788


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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Ankit Gupta. "Stochastic model for cell polarity." Ann. Appl. Probab. 22 (2) 827 - 859, April 2012.


Published: April 2012
First available in Project Euclid: 2 April 2012

zbMATH: 1242.92021
MathSciNet: MR2953570
Digital Object Identifier: 10.1214/11-AAP788

Primary: 60G57 , 60J68 , 92C37 , 92C42

Keywords: cell polarity , Donnelly–Kurtz , Fleming–Viot , particle representation , spatial clustering

Rights: Copyright © 2012 Institute of Mathematical Statistics


Vol.22 • No. 2 • April 2012
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