Elastic Instabilities Govern the Morphogenesis of the Optic Cup

Elastic Instabilities Govern the Morphogenesis of the Optic Cup
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DOI:
10.1103/physrevlett.127.138102
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发表时间:
2021-09-23
影响因子:
8.6
通讯作者:
Holmes, Douglas P.
Holmes, Douglas P.
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Lee, Jeong-Ho;Park, Harold S.;Holmes, Douglas P.

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由于眼睛的正常运作取决于其最终形状的敏感形态发生过程,因此发育缺陷可能导致广泛的眼部缺陷。然而,控制眼形态发生的物理过程和机制尚不清楚。在这里,利用分析理论和非线性壳有限元模拟,我们表明,对于经历基质约束生长的视囊泡,弹性不稳定性控制着视杯形态发生。通过捕获由于生长过程中质量增加而导致的应力放大,我们表明形态发生是由类似于球壳中的突然突变的两个弹性不稳定性驱动的,其中第二个不稳定性对视杯几何形状敏感。特别是,如果视神经泡太细长,就会弯曲并破坏轴对称性,从而妨碍正常发育。我们的结果揭示了控制功能生物系统形成的形态发生机制以及弹性不稳定性在软生物结构形状选择中的作用。
Because the normal operation of the eye depends on sensitive morphogenetic processes for its eventual shape, developmental flaws can lead to wide-ranging ocular defects. However, the physical processes and mechanisms governing ocular morphogenesis are not well understood. Here, using analytical theory and nonlinear shell finite-element simulations, we show, for optic vesicles experiencing matrix-constrained growth, that elastic instabilities govern the optic cup morphogenesis. By capturing the stress amplification owing to mass increase during growth, we show that the morphogenesis is driven by two elastic instabilities analogous to the snap through in spherical shells, where the second instability is sensitive to the optic cup geometry. In particular, if the optic vesicle is too slender, it will buckle and break axisymmetry, thus, preventing normal development. Our results shed light on the morphogenetic mechanisms governing the formation of a functional biological system and the role of elastic instabilities in the shape selection of soft biological structures.