Nakamasu Akiko, Nakayama Hokuto, Nakayama Naomi, Suematsu Nobuhiko J, Kimura Seisuke
Department of Bioresource and Environmental Sciences Faculty of Life Sciences, Kyoto Sangyo University, Kyoto, Japan; Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan.
Department of Bioresource and Environmental Sciences Faculty of Life Sciences, Kyoto Sangyo University, Kyoto, Japan.
PLoS One. 2014 Nov 6;9(11):e111615. doi: 10.1371/journal.pone.0111615. eCollection 2014.
Lake cress, Rorippa aquatica (Brassicaceae), is a semi-aquatic plant that exhibits a variety of leaf shapes, from simple leaves to highly branched compound leaves, depending on the environment. Leaf shape can vary within a single plant, suggesting that the variation can be explained by a simple model. In order to simulate the branched structure in the compound leaves of R. aquatica, we implemented reaction-diffusion (RD) patterning onto a theoretical framework that had been developed for serration distribution in the leaves of Arabidopsis thaliana, with the modification of the one-dimensional reaction-diffusion domain being deformed with the spatial periodicity of the RD pattern while expanding. This simple method using an iterative pattern could create regular and nested branching patterns. Subsequently, we verified the plausibility of our theoretical model by comparing it with the experimentally observed branching patterns. The results suggested that our model successfully predicted both the qualitative and quantitative aspects of the timing and positioning of branching in growing R. aquatica leaves.
水芹（Rorippa aquatica，十字花科）是一种半水生植物，根据环境的不同，它会呈现出多种叶片形状，从单叶到高度分枝的复叶。在同一株植物上，叶片形状也会有所不同，这表明这种变异可以用一个简单的模型来解释。为了模拟水芹复叶中的分枝结构，我们在一个为拟南芥叶片锯齿分布而开发的理论框架上实施了反应扩散（RD）图案化，对一维反应扩散域进行修改，使其在扩展时随着RD图案的空间周期性而变形。这种使用迭代图案的简单方法可以创建规则且嵌套的分枝图案。随后，我们通过将理论模型与实验观察到的分枝图案进行比较，验证了该理论模型的合理性。结果表明，我们的模型成功地预测了生长中的水芹叶片分枝时间和位置的定性和定量方面。
