Laboratoire Matières et Systèmes Complexes (MSC), UMR 7057 CNRS/Université Paris-Diderot, 10 Rue Alice Domon & Léonie Duquet, 75205 Paris Cedex 13, France.
J Theor Biol. 2011 Nov 21;289:47-64. doi: 10.1016/j.jtbi.2011.08.020. Epub 2011 Aug 24.
Leaves are packed in a bud in different ways, being flat, rolled, or folded, but always filling the whole bud volume. This "filling law" has many consequences, in particular on the shapes of growing folded leaves. This is shown here for different types of folding and packing. The folded volume is roughly a part of an ellipsoid, with the veins on the outside rounded face and the lamina margin on the adaxial plane. The veins on the abaxial side protect the fragile lamina inside. The first general consequence of the folds and the space limitation of the lamina growth is the presence of symmetries on the leaf shape, and the second is the quantitative relationships between the sizes of the lobes and sinuses. For particular geometries, the leaf lamina can be limited by lateral veins, creating spoon-like lobes, or tangent cuts, creating asymmetrical wavy perimeters. Changes in the packing between different cultivars correspond to changes in the mature leaf shapes. Each particular case shows how pervasive the geometrical consequences of the filling law are.
叶子以不同的方式包裹在芽中，有平的、卷的或折叠的，但总是填满整个芽的体积。这种“填充定律”有许多后果，特别是对正在生长的折叠叶子的形状有影响。这里展示了不同类型的折叠和包装方式。折叠的体积大致是一个椭球体的一部分，叶脉在外凸的面，叶边在近轴面。背面的叶脉保护着内部脆弱的叶片。折叠和叶片生长的空间限制的第一个一般后果是叶子形状上存在对称性，第二个是裂片和凹陷大小之间的定量关系。对于特定的几何形状，叶片可以被侧脉限制，形成匙状裂片，或者切线切割，形成不对称的波浪形轮廓。不同品种之间包装的变化对应于成熟叶片形状的变化。每个特殊情况都表明填充定律的几何后果是多么普遍。
