Research Center of Mathematics for Social Creativity, Research Institute for Electronic Science, Hokkaido University, Sapporo, Japan.
Research & Development Center, Dai Nippon Printing Co., Ltd, Kashiwa, Japan.
Skin Res Technol. 2021 Sep;27(5):863-870. doi: 10.1111/srt.13035. Epub 2021 Mar 24.
We showed previously that a thick three-dimensional epidermal equivalent can be constructed with passaged keratinocytes on a patterned surface.
We first carried out computer simulations of a three-dimensional epidermal equivalent model built on close-packed arrays of 10 µm, 15 µm, 20 µm, 30 µm, and 60 µm diameter pillars. Based on these predictions, we evaluated epidermal equivalents built on a series of porous plastic membranes bearing arrays of pillars 15 µm, 20 µm, 25 µm, 30 µm, and 50 µm in diameter.
The simulations predicted that a model having near-physiological thickness would be formed on 15 ~ 30 µm pillars. In the results of in vitro study, the thickest epidermal equivalent was obtained on the 20 µm pillars. Epidermal differentiation markers, filaggrin and loricrin, were expressed at the upper layer of the epidermal equivalent model, and tight-junction proteins, claudin-1 and ZO-1, were expressed on the cell membranes. BrdU-positive cells were observed at the base and also at the top of the pillars.
The results of the study suggested that mathematical modeling might be a useful tool to guide biological studies.
我们之前展示了可以在图案化表面上通过传代角质形成细胞构建厚的三维表皮等效物。
我们首先对基于 10 µm、15 µm、20 µm、30 µm 和 60 µm 直径支柱的紧密排列阵列构建的三维表皮等效模型进行计算机模拟。基于这些预测,我们评估了构建在一系列带有 15 µm、20 µm、25 µm、30 µm 和 50 µm 直径支柱阵列的多孔塑料膜上的表皮等效物。
模拟预测,在 15 µm 至 30 µm 的支柱上会形成接近生理厚度的模型。在体外研究的结果中,在 20 µm 支柱上获得了最厚的表皮等效物。表皮分化标志物丝聚蛋白和兜甲蛋白在上层表皮等效物模型中表达,紧密连接蛋白 Claudin-1 和 ZO-1 表达在细胞膜上。BrdU 阳性细胞在支柱的底部和顶部都有观察到。
研究结果表明,数学建模可能是指导生物学研究的有用工具。