Many cells within epithelial tissues display polarity along a particular axis. This axis is perpendicular to the tissue plane and apico-basal axis (from top to bottom of tissues) of the cell. This phenomenon is called “planar cell polarity, PCP”, and is a common phenomenon found in many multicellular organisms. For example, hair cells in the inner ear of humans have many hairs on each individual cell, and since the hairs are regularly arranged on the cell plane, we can hear the sound. Not only hair cells, but fish scales, and body hair on mammals and the wings of birds etc., have cell polarity. As a result, these creatures carry out macroscopic morphogenesis.
Recently, since molecular biological research has developed concerning PCP, detailed molecular mechanisms have been revealed, several report is published [1-4]. On the other hand, major problems remain. In particular, 1. Mechanisms of morphogenesis for macro-level (PCP) and micro-level (molecular) information and 2. in considering PCP, what are the most important factors?
In order to solve these problems, we construct a simple mathematical model for PCP . This model is based on the molecular mechanisms of PCP. In this talk, we will introduce our mathematical model and simulation result. Despite of our model is very simple formulation, it can reproduce various aspects of the PCP. From the view point of our mathematical model, let’s think “What is the most important mechanism in PCP”.
 Jean-François Le Garrec et al., Developmental Dynamics 235:235-246. (2006)
 Yoram Burak et al., PLoS Computational Biology Vol 5(12), e1000628. (2009)
 Benoît Aigouy et al., Cell, 142, 773-786, September 3. (2010)
 K. Amonlirdviman et al., Science Vol 307, 423-426. (2005)
 Ayukawa,T., Masakazu, A. et al., Cell Reports, 8(2): p. 610 - 621, 2014.