Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan.
Faculty of Engineering, Hokkaido University, Sapporo 060-8628, Japan.
Proc Natl Acad Sci U S A. 2023 Oct 10;120(41):e2308319120. doi: 10.1073/pnas.2308319120. Epub 2023 Oct 6.
The height of thick and solid plants, such as woody plants, is proportional to two-thirds of the power of their diameter at breast height. However, this rule cannot be applied to herbaceous plants that are thin and soft because the mechanisms supporting their bodies are fundamentally different. This study aims to clarify the rigidity control mechanism resulting from turgor pressure caused by internal water in herbaceous plants to formulate the corresponding scaling law. We modeled a herbaceous plant as a cantilever with the ground side as a fixed end, and the greatest height was formulated considering the axial tension force from the turgor pressure. The scaling law describing the relationship between the height and diameter in terms of the turgor pressure was theoretically derived. Moreover, we proposed a plant classification rule based on stress distribution.
高大而粗壮的植物，如木本植物，其高度与胸径的 2/3 成正比。然而，这个规律不适用于纤细柔软的草本植物，因为它们的支撑机制从根本上是不同的。本研究旨在阐明由内部水引起的膨压导致的草本植物的刚性控制机制，以制定相应的标度律。我们将草本植物建模为一个具有地面侧作为固定端的悬臂，并且根据膨压产生的轴向张力来制定最大高度。从理论上推导出了用膨压来描述高度和直径之间关系的标度律。此外，我们还根据应力分布提出了一种植物分类规则。
