论文标题
机械化学诱导弹性壳上的皱纹形态发生
Mechanochemical induction of wrinkling morphogenesis on elastic shells
论文作者
论文摘要
组织板的形态发生动力学需要由机械力的全球模式调节的协调细胞形状变化。受这种生物学现象的启发，我们提出了一个最小的机械化学模型，基于这样一种观念，即细胞形状的变化是由可扩散的生物分子诱导的，该生物分子以浓度依赖性的方式影响组织收缩性 - 其浓度反过来又受巨镜组织形状的影响。我们对薄壳弹性动力学进行计算模拟，以揭示由于一系列屈曲不稳定性而引起的繁殖化学和三维变形模式。根据浓度阈值的浓度阈值，我们发现质量不同的模式。机械化学耦合的模式动力学与纯机械或纯化学因子驱动的动力学不同。使用数值模拟和理论论证，我们分析了我们模型产生的弹性不稳定性，并提供了简单的缩放定律以识别皱纹的形态。
Morphogenetic dynamics of tissue sheets require coordinated cell shape changes regulated by global patterning of mechanical forces. Inspired by such biological phenomena, we propose a minimal mechanochemical model based on the notion that cell shape changes are induced by diffusible biomolecules that influence tissue contractility in a concentration-dependent manner -- and whose concentration is in turn affected by the macroscopic tissue shape. We perform computational simulations of thin shell elastic dynamics to reveal propagating chemical and three-dimensional deformation patterns arising due to a sequence of buckling instabilities. Depending on the concentration threshold that actuates cell shape change, we find qualitatively different patterns. The mechanochemically coupled patterning dynamics are distinct from those driven by purely mechanical or purely chemical factors. Using numerical simulations and theoretical arguments, we analyze the elastic instabilities that result from our model and provide simple scaling laws to identify wrinkling morphologies.
