上皮組織通常是由增生細胞和分化細胞組成且在組織中的細胞的結構是分層結構。在這篇論文當中我們提出了一個理論的模型用來研究有不同形狀的上皮組織，並且我們可以從這個模型得到穩定的和成長中的上皮組織中的增生細胞的分布、流場和壓力。除此之外我們證明了細胞的分裂、分化和死亡對組織中細胞的分布、流場和壓力有著重要的影響。而特別的是組織中的壓力當在增生細胞區和分化細胞區之間時會因為突然快速變化的細胞分化率而產生一個極小值。

Epithelial tissues are composed of proliferative cells and differentiated cells and the distribution of these cells inside the tissue often shows stratified structure. In this thesis, we propose a theoretical model to study monolayer epithelial tissues with different shapes. We show that within our model it is easy to calculate the distribution of proliferative cells, the flow field and the pressure in both steady state tissues and growing tissues. We show that cell events such as cell division, cell differentiation and apoptosis are important in shaping the distribution of cells, flow field, and pressure in the tissue. In particular, the pressure field around the transition region between the proliferative cell niche and differentiated cell niche shows a local minimum due to the sudden change of flow field caused by the spatially fast-varying cell differentiation rate.

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