Modelling and analysis of planar cell polarity

Schamberg, Sabine and Houston, Paul and Monk, Nick A.M. and Owen, Markus R. (2008) Modelling and analysis of planar cell polarity. Bulletin of Mathematical Biology . ISSN 0092-8240 (Submitted)

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Official URL: http://www.springerlink.com/content/119979/?p=96f6d5a3afbd4550a22038fe24ce2763&pi=1

Abstract

Planar cell polarity (PCP) occurs in the epithelia of many animals and can lead to the alignment of hairs, bristles and feathers; physiologically, it can organise ciliary beating. Here we present two approaches to modelling this phenomenon. The aim is to discover the basic mechanisms that drive PCP, while keeping the models mathematically tractable. We present a feedback and diffusion model, in which adjacent cell sides of neighbouring cells are coupled by a negative feedback loop and diffusion acts within the cell. This approach can give rise to polarity, but also to period two patterns. Polarisation arises via an instability provided a sufficiently strong feedback and sufficiently weak diffusion. Moreover, we discuss a conservative model in which proteins within a cell are redistributed depending on the amount of proteins in the neighbouring cells, coupled with intracellular diffusion. In this case polarity can arise from weakly polarised initial conditions or via a wave provided the diffusion is weak enough. Both models can overcome small anomalies in the initial conditions. Furthermore, the range of the effects of groups of cells with different properties than the surrounding cells depends on the strength of the initial global cue and the intracellular diffusion.

Item Type:Article
Schools/Departments:Faculty of Science > School of Mathematical Sciences
ID Code:1002
Deposited By:Schamberg, Sabine
Deposited On:19 Nov 2008 15:19
Last Modified:24 Jun 2011 15:25

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