A fibre-reinforced fluid model of anisotropic plant cell growth
A fibre-reinforced fluid model of anisotropic plant cell growth
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DOI：
10.1017/s002211201000100x
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发表时间：
2010-07-25
影响因子：
3.7
通讯作者：
Jensen, O. E.
中科院分区：
文献类型：
--
作者：
Dyson, R. J.;Jensen, O. E.
许多生长中的植物细胞经历快速的轴向伸长，径向膨胀可以忽略不计。生长是由高内部膨胀压力驱动的，导致细胞壁的粘性拉伸，嵌入的纤维素微纤维为细胞壁提供了强烈的各向异性特性。我们提出了一个生长细胞的理论模型，将初级细胞壁表示为支撑在刚性端板之间的薄轴对称纤维增强粘性薄板。在纤维和壁属性的简单假设下，控制方程的渐近约化产生了传统洛克哈特方程的变体，该方程将轴向细胞生长率与内部压力联系起来。该模型提供了对体量的几何和生物力学参数的洞察，如壁延展性，并展示了壁材料属性的动态变化或被动纤维重新定向如何抑制细胞伸长。
Many growing plant cells undergo rapid axial elongation with negligible radial expansion. Growth is driven by high internal turgor pressure causing viscous stretching of the cell wall, with embedded cellulose microfibrils providing the wall with strongly anisotropic properties. We present a theoretical model of a growing cell, representing the primary cell wall as a thin axisymmetric fibre-reinforced viscous sheet supported between rigid end plates. Asymptotic reduction of the governing equations, under simple sets of assumptions about the fibre and wall properties, yields variants of the traditional Lockhart equation, which relates the axial cell growth rate to the internal pressure. The model provides insights into the geometric and biomechanical parameters underlying bulk quantities such as wall extensibility, and shows how either dynamical changes in wall material properties or passive fibre reorientation may suppress cell elongation.