Limits of Applicability of the Voronoi Tessellation Determined by Centers of Cell Nuclei to Epithelium Morphology.
Limits of Applicability of the Voronoi Tessellation Determined by Centers of Cell Nuclei to Epithelium Morphology.
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DOI：
10.3389/fphys.2016.00551
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发表时间：
2016
影响因子：
4
通讯作者：
Smith AS
中科院分区：
文献类型：
--
作者：
Kaliman S;Jayachandran C;Rehfeldt F;Smith AS
组织中的细胞可以被视为镶嵌空间的瓦片，这是公认的。开发了许多方法来找到这种单元格平铺的适当数学描述。一种特别有用的方法是所谓的Voronoi镶嵌，从细胞核的质量中心（CMVT）构建，其通常用于估计上皮组织中细胞的形态。然而，在文献中没有提供对该方法准确性进行统计学合理分析的研究。我们在这里解决了这个问题，通过比较的细胞，包括面积，周长，并从这样的镶嵌与相同的措施，从染色细胞膜获得的直接成像提取的伸长率的形态测量。在分析了15，000个MDCK II上皮细胞在几种条件下的形状后，我们发现CMVT相当好地再现了组织的许多形态学特性，误差在10%到15%之间。此外，不同形态的措施之间的互相关是正确地再现定性的这种方法。然而，所有的属性，包括细胞周长，邻居的数量，和各向异性措施往往遭受系统或大小相关的错误。这些差异源于镶嵌的多边形性质，这限制了CMVT的适用性。
It is well accepted that cells in the tissue can be regarded as tiles tessellating space. A number of approaches were developed to find an appropriate mathematical description of such cell tiling. A particularly useful approach is the so called Voronoi tessellation, built from centers of mass of the cell nuclei (CMVT), which is commonly used for estimating the morphology of cells in epithelial tissues. However, a study providing a statistically sound analysis of this method's accuracy is not available in the literature. We addressed this issue here by comparing a number of morphological measures of the cells, including area, perimeter, and elongation obtained from such a tessellation with identical measures extracted from direct imaging acquired by staining the cell membranes. After analyzing the shapes of 15,000 MDCK II epithelial cells under several conditions, we find that CMVT reasonably well reproduces many of the morphological properties of the tissue with an error that is between 10 and 15%. Moreover, cross-correlations between different morphological measures are reproduced qualitatively correctly by this method. However, all of the properties including the cell perimeters, number of neighbors, and anisotropy measures often suffer from systematic or size dependent errors. These discrepancies originate from the polygonal nature of the tessellation which sets the limits of the applicability of CMVT.
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