如何种植平叶

摘要：

如果没有一些反馈来稳定容易触发的长波长模式，生长诸如叶子的平坦薄层几乎是不可能的，因为它们在能量上是便宜的。在这里，我们将弹性薄板的物理学与反馈控制理论相结合，探索叶子如何在生长时保持平坦。我们调查在平面内（度量）和平面外（曲率）的增长变化，并占本地和非本地反馈法。我们表明，线性化的反馈理论，占空间非局部和时间延迟效应足以有效地抑制长波长波动，并解释最近观察到的统计特征的烟草叶片的生长。我们的工作提供了一个框架，了解树叶和其他层状物体的形状的规定。

英文摘要：

Growing a flat lamina such as a leaf is almost impossible without some feedback to stabilize long wavelength modes that are easy to trigger since they are energetically cheap. Here we combine the physics of thin elastic plates with feedback control theory to explore how a leaf can remain flat while growing. We investigate both in-plane (metric) and out-of-plane (curvature) growth variation and account for both local and nonlocal feedback laws. We show that a linearized feedback theory that accounts for both spatially nonlocal and temporally delayed effects suffices to suppress long wavelength fluctuations effectively and explains recently observed statistical features of growth in tobacco leaves. Our work provides a framework for understanding the regulation of the shape of leaves and other laminar objects.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。