Leaves as shell structures: Double curvature, auto-stresses, and minimal mechanical energy constraints on leaf rolling in grasses

Leaves as shell structures: Double curvature, auto-stresses, and minimal mechanical energy constraints on leaf rolling in grasses
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DOI:
10.1007/s003440000004
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发表时间:
2000-03-01
影响因子:
4.8
通讯作者:
Moulia, B
Moulia, B
中科院分区:
生物学3区
文献类型:
--
作者:
Moulia, B

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草叶是壳结构的自然例子,因为它们很薄并且显示出双曲率。壳体的一个重要力学性质是纵向曲率和横向曲率的变化不是独立的。这种机械耦合的基础是使用简单的图表。的相关性的结构限制的过程中的流体力学滚动和发展展开在草叶。我表明,机械约束可以解释很大一部分的遗传和发育变异的水力滚动草,没有参考具体的解剖特征,如泡状细胞。机械分析的一个滚动的玉米突变体还显示,发育展开不限于一个纯粹的横向扩张的铰链细胞,并涉及纵向和横向尺寸的变化,在上表皮。兴趣使用力学模型作为工具,以揭示在组织和器官水平的结构相互作用进行了讨论,并强调了保罗绿色的生物物理方法的重要性,植物形态发生的研究。
Grass leaves are natural examples of shell structures because they are thin and display a double curvature. An important mechanical property of shells is that changes in longitudinal and transverse curvatures are not independent. The basis of this mechanical coupling is presented using simple diagrams. The relevance of the structural constraints for the processes of hydronastic rolling and developmental unrolling in grass leaves is then reviewed. I show that mechanical constraints can explain a large part of the genetic and developmental variability of hydronastic rolling in grasses, without reference to specific anatomic features such as bulliform cells. Mechanical analysis of a rolled maize mutant also revealed that developmental unrolling is not limited to a pure transverse expansion of hinge cells and involves both longitudinal and transverse dimensional changes in the upper epidermis. Interest in using mechanical models as a tool to reveal structural interactions at the tissue and organ level is discussed, and the importance of Paul Green's biophysical approach to the study of plant morphogenesis is emphasized.