STOCHASTIC MODEL FOR CELL POLARITY

• 成果类型: Article
• 署名作者: Gupta, Ankit
• 署名单位: University of Wisconsin System; University of Wisconsin Madison
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/11-AAP788
• 发表日期: 2012
• 页码: 827-859
• 关键词: poisson-dirichlet distribution; alleles diffusion-model; neutral alleles; population-genetics; polarization; GROWTH; membrane; cdc42p; sites

摘要

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.