The possible and the actual in phyllotaxis:: Bridging the gap between empirical observations and iterative models

The possible and the actual in phyllotaxis:: Bridging the gap between empirical observations and iterative models
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DOI:
10.1007/s00344-006-0067-9
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发表时间:
2006-12-01
影响因子:
4.8
通讯作者:
Dumais, Jacques
Dumais, Jacques
中科院分区:
生物学3区
文献类型:
--
作者:
Hotton, Scott;Johnson, Valerie;Dumais, Jacques

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本文介绍了用于植物学模式的几何分析的新方法及其与简单,离散动力学系统产生的模式的比较。我们介绍了个体发育图作为模式的简约且机械上相关的表示的概念。从模式的局部几何形状中提取了个体发育图,并且在差异角度和其他经典描述符上不会对其施加大规模的规律性。我们通过根据硬盘模型来分析两个星际科花序的植物素来体现我们的方法。模拟模式为模型超过150次迭代的观测模式提供了很好的匹配。
This article presents new methods for the geometrical analysis of phyllotactic patterns and their comparison with patterns produced by simple, discrete dynamical systems. We introduce the concept of ontogenetic graph as a parsimonious and mechanistically relevant representation of a pattern. The ontogenetic graph is extracted from the local geometry of the pattern and does not impose large-scale regularity on it as for the divergence angle and other classical descriptors. We exemplify our approach by analyzing the phyllotaxis of two asteraceae inflorescences in the light of a hard disk model. The simulated patterns offer a very good match to the observed patterns for over 150 iterations of the model.