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. 2012 Aug 17;7(8):e43108. doi: 10.1371/journal.pone.0043108

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© 2012 Li et al

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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(A) The largest side division plane orientation agrees with animal tissues with a peak of around 45% hexagons. Random division plane orientation produces a flatter distribution with a lower percentage of hexagons (40%). Orthogonal division plane orientation generates a distribution with a higher percentage of hexagons (55%). (B) Mitotic cells divide through orthogonal scheme with probability , . The probability of a cell using orthogonal scheme in division for all its ancestors is , . It is close to 0 for , 1 for . There is no correlation between the topological distribution and different value of . (C) Different combinations of cell types are set initially. Orthogonal cells divide successively using the orthogonal scheme. Topological distribution is linearly correlated to the proportion of initial orthogonal cells.

Inline graphic — (A) The largest side division plane orientation agrees with animal tissues with a peak of around 45% hexagons. Random division plane orientation produces a flatter distribution with a lower percentage of hexagons (40%). Orthogonal division plane orientation generates a distribution with a higher percentage of hexagons (55%). (B) Mitotic cells divide through orthogonal scheme with probability , . The probability of a cell using orthogonal scheme in division for all its ancestors is , . It is close to 0 for , 1 for . There is no correlation between the topological distribution and different value of . (C) Different combinations of cell types are set initially. Orthogonal cells divide successively using the orthogonal scheme. Topological distribution is linearly correlated to the proportion of initial orthogonal cells.