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Updated: Mar 21, 2026

Mammalian Cell Division in 3D Matrices via Quantitative Confocal Reflection Microscopy
Published on: November 29, 2017
Matrix description of the complete topology of three-dimensional cells
Weihua Xue1,2, Hao Wang1, Guoquan Liu3,4
1School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, People's Republic of China.
Abstract:
A new, efficient method based on a series of matrices is introduced to completely describe the detailed topology of individual domains and their topology evolution in three-dimensional cellular structures. With this approach, we found a lot of new topological grain forms which are never reported before, i.e., there are total 8 and 32 topological forms for 7- and 8-faced grains respectively, other than the reported 7 and 27. This method is proved to be a practical tool to predict all possible grain forms efficiently. Moreover, a connectivity index of grain forms serves as a new convenient differentiator of different multicellular structures.
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