Turing patterns on radially growing domains: experiments and simulations
Turing patterns on radially growing domains: experiments and simulations
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DOI：
10.1039/c8cp07797e
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发表时间：
2019-03-28
影响因子：
3.3
通讯作者：
Dolnik, Milos
中科院分区：
文献类型：
--
作者：
Konow, Christopher;Somberg, Noah H.;Dolnik, Milos
我们研究在二维径向生长的系统中图灵模式的形成。光敏二氧化氯-碘-丙二酸反应被照明以抑制图案形成，其中图案形成的非照明圆形区域不断增长。我们研究了线性径向生长速率与所得图案形态之间的关系。较快的生长导致图案形成为平行于生长边界的同心环，而较慢的生长导致图案形成为垂直于生长边界。我们观察到图灵模式的三种不同的增长模式，这也取决于径向增长率。使用 Lengyel-Epstein 模型在数值模拟中定性地再现了实验结果，并附加了一个附加项来解释反应的光敏性。这些结果可能为了解生长中的生物系统中的模式如何形成提供新的见解。
We study Turing pattern formation in a system undergoing radial growth in two dimensions. The photosensitive chlorine dioxide-iodine-malonic acid reaction is illuminated to inhibit patterning, with a growing non-illuminated circular domain in which the pattern develops. We examine the relationship between the linear radial growth rate and the resulting pattern morphology. Faster growth causes the pattern to form parallel to the growing boundary as concentric rings, while slower growth leads to pattern formation perpendicular to the growing boundary. We observe three distinct growth modes for the Turing patterns, which also depend on the radial growth rate. The experimental results are qualitatively reproduced in numerical simulations using the Lengyel-Epstein model with an additional term to account for the photosensitivity of the reaction. These results may provide new insight into how patterns form in growing biological systems.