Orientation of Turing-like Patterns by Morphogen Gradients and Tissue Anisotropies

Cell Systems
Tom W Hiscock, Sean G Megason

Abstract

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. However, how stripe orientation is controlled in each of these cases is poorly understood. Here, we model stripe orientation using a simple, yet generic model of periodic patterning, with the aim of finding qualitative features of stripe orientation that are mechanism-independent. Our model predicts three qualitatively distinct classes of orientation mechanism: gradients in production rates, gradients in model parameters, and anisotropies (e.g. in diffusion or growth). We provide evidence that the results from our minimal model may also apply to more specific and complex models, revealing features of stripe orientation that may be common to a variety of biological systems.

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Citations

Apr 11, 2019·Proceedings. Biological Sciences·Li-Xia ZhaoQuan-Xing Liu
Apr 23, 2019·PLoS Computational Biology·Maria KiskowskiYlenia Chiari
Jun 9, 2019·Development·Laura Andrés-DelgadoNadia Mercader
Mar 7, 2018·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Arnd Scheel, Jasper Weinburd
Mar 5, 2020·Development·Jake Cornwall Scoones, Tom W Hiscock
Aug 25, 2020·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Ian GrovesAlexander G Fletcher
Jan 29, 2019·Bulletin of Mathematical Biology·Michaël DougoudLászló Pecze
Feb 16, 2021·Developmental Biology·Iain Martyn, Zev J Gartner
Aug 23, 2019·Developmental Biology·Nicolas Haupaix, Marie Manceau
Dec 18, 2020·Developmental Biology·Berna SozenMagdalena Zernicka-Goetz
Apr 23, 2021·Bio Systems·V N AlexanderÒscar Castro Garcia
May 12, 2021·Scientific Reports·Christopher KonowIrving R Epstein
May 12, 2021·ACS Applied Materials & Interfaces·Mikhail KryuchkovVladimir L Katanaev
Jun 1, 2021·Current Opinion in Genetics & Development·Camille Curantz, Marie Manceau

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