Matrix description of the complete topology of three-dimensional cells.

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.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Xue W,Wang H,Liu G,Meng L,Xiang S,Ma G,Li W

doi

10.1038/srep25877

subject

Has Abstract

pub_date

2016-05-10 00:00:00

pages

25877

issn

2045-2322

pii

srep25877

journal_volume

6

pub_type

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