Note to users. If you're seeing this message, it means that your browser cannot find this page's style/presentation instructions -- or possibly that you are using a browser that does not support current Web standards. Find out more about why this message is appearing, and what you can do to make your experience of our site the best it can be.
Mathematical Modeling of Planar Cell Polarity to Understand Domineering Nonautonomy
Keith Amonlirdviman,1Narmada A. Khare,2David R. P. Tree,2Wei-Shen Chen,2Jeffrey D. Axelrod,2*Claire J. Tomlin1*
Planar cell polarity (PCP) signaling generates subcellular asymmetryalong an axis orthogonal to the epithelial apical-basal axis.Through a poorly understood mechanism, cell clones that havemutations in some PCP signaling components, including some,but not all, alleles of the receptor frizzled, cause polaritydisruptions of neighboring wild-type cells, a phenomenon referredto as domineering nonautonomy. Here, a contact-dependent signalinghypothesis, derived from experimental results, is shown by reaction-diffusion,partial differential equation modeling and simulation to fullyreproduce PCP phenotypes, including domineering nonautonomy,in the Drosophila wing. The sufficiency of this model and theexperimental validation of model predictions reveal how specificprotein-protein interactions produce autonomy or domineeringnonautonomy.
1 Department of Aeronautics and Astronautics, Stanford University, Stanford, CA 94305–4035, USA. 2 Department of Pathology, Stanford University School of Medicine, Stanford, CA 94305–5324, USA.
* These authors contributed equally to this work.
To whom correspondence should be addressed. E-mail: tomlin{at}stanford.edu (C.J.T.); jaxelrod{at}stanford.edu (J.D.A.)
To whom correspondence should be addressed. E-mail: 
