Tiling mechanisms of the compound eye through geometrical tessellation
Tiling mechanisms of the compound eye through geometrical tessellation
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DOI：
10.1101/2022.01.05.475162
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发表时间：
2022-01
期刊：
影响因子：
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通讯作者：
Takashi Hayashi;Takeshi Tomomizu;Takamichi Sushida;M. Akiyama;Shin-ichiro Ei;Makoto Sato
中科院分区：
文献类型：
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作者：
Takashi Hayashi;Takeshi Tomomizu;Takamichi Sushida;M. Akiyama;Shin-ichiro Ei;Makoto Sato
在许多生物结构中都观察到了耕作模式。六角形耕作在野生型果蝇的复眼中常见，在自然界中是优势的；这种优势可能归因于物理限制，如结构健壮性、最小边界长度和空间填充效率。令人惊讶的是，在一些果蝇小眼睛突变体和水生甲壳类动物中也观察到了四方瓷砖图案。在这里，几何镶嵌被显示来确定小眼平铺图案。在小眼睛突变体中，随着相邻小眼的相对位置沿着背腹轴拉伸，六角形图案转变为四边形图案。因此，小眼的规则分布及其均匀的生长共同对复眼建立四角形和六角形瓷砖图案起着至关重要的作用。
Tilling patterns are observed in many biological structures. Hexagonal tilling, commonly observed in the compound eyes of wild-type Drosophila, is dominant in nature; this dominance can probably be attributed to physical restrictions such as structural robustness, minimal boundary length, and space filling efficiency. Surprisingly, tetragonal tiling patterns are also observed in some Drosophila small eye mutants and aquatic crustaceans. Herein, geometrical tessellation is shown to determine the ommatidial tiling patterns. In small eye mutants, the hexagonal pattern is transformed into a tetragonal pattern as the relative positions of neighboring ommatidia are stretched along the dorsal-ventral axis. Hence, the regular distribution of ommatidia and their uniform growth collectively play an essential role in the establishment of tetragonal and hexagonal tiling patterns in compound eyes.