植物组织生长的多尺度建模与分析
Multiscale modelling and analysis of growth of plant tissues
AI总结：
本研究通过多尺度分析和均匀化方法，从亚细胞尺度的植物组织生长模型推导出宏观组织尺度模型，并用有限元数值比较验证其预测能力，以连接微观测量与宏观观察。
摘要：
形态发生如何依赖于细胞特性是一个活跃的研究方向。在此，我们聚焦于考虑微观（亚）细胞结构的植物组织生长力学模型。为了建立微观与宏观组织特性之间的联系，我们对具有亚细胞分辨率的植物组织生长模型进行了多尺度分析。我们利用均匀化方法严格推导出相应的宏观组织尺度模型。组织尺度的力学性质由微观结构和材料性质计算得出，并考虑了生长场的变形。随后，我们通过案例研究，对采用有限元方法实现的详细微观模型和组织尺度模型进行了数值比较。我们发现，宏观模型能够有效地对若干感兴趣的结构配置进行预测。我们的工作将有助于在生长组织中建立微观测量与宏观观察之间的联系。
英文摘要：
How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links between microscopic and macroscopic tissue properties, we perform a multiscale analysis of a model of growing plant tissue with subcellular resolution. We use homogenization to rigorously derive the corresponding macroscopic tissue scale model. Tissue scale mechanical properties are computed from microscopic structural and material properties, taking into account deformation by the growth field. We then consider case studies and numerically compare the detailed microscopic model and the tissue-scale model, both implemented using finite element method. We find that the macroscopic model can be used to efficiently make predictions about several configurations of interest. Our work will help making links between microscopic measurements and macroscopic observations in growing tissues.
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