<< Patterning of periodic stripes during development requires mechanisms to control both stripe spacing and orientation. A number of models can explain how stripe spacing is controlled, including molecular mechanisms, such as Turing’s reaction-diffusion model, as well as cell-based and mechanical mechanisms >>
The Hiscock and Megason's master model << predicts three main perturbations that can affect how stripes orient: one is a change in "production gradient," which would be a substance that amplifies stripe pattern density; second is a change in "parameter gradient," a substance that changes one of the parameters involved in forming the stripe; and the last is a physical change in the direction of the molecular, cellular, or mechanical origin of the stripe >>
http://www.eurekalert.org/pub_releases/2015-12/cp-amm121815.php
Tom W. Hiscock, Sean G. Megason. Orientation of Turing-like Patterns by Morphogen Gradients and Tissue Anisotropies. Cell Systems, 2015; 1 (6): 408 DOI: 10.1016/j.cels.2015.12.001
http://www.sciencedirect.com/science/article/pii/S240547121500215X