论文标题
在不支持的上皮床单中皱纹的不稳定
Wrinkling instability in unsupported epithelial sheets
论文作者
论文摘要
我们研究了无支撑上皮单层的弹性，我们发现，与薄固体板不同，纤维板与潜在的底物不兼容，即使在没有基质的情况下，上皮也可以这样做。从基于细胞的模型中，我们得出了一个精确的弹性理论，并发现了由差异apico-basal表面张力驱动的皱纹。我们的理论可以通过引入一个刚度超出临界差分张力的有限度的幻影底物来映射到固体板上。这提出了一种新机制，可以在其表面模式的长度尺度上自主控制组织。
We investigate the elasticity of unsupported epithelial monolayer and we discover that unlike a thin solid plate, which wrinkles if geometrically incompatible with the underlying substrate, the epithelium may do so even in absence of the substrate. From a cell-based model, we derive an exact elasticity theory and discover wrinkling driven by the differential apico-basal surface tension. Our theory can be mapped onto that for solid plates by introducing a phantom substrate whose stiffness is finite beyond a critical differential tension. This suggests a new mechanism for an autonomous control of tissues over the length scale of their surface patterns.
