弹性与全球化：Volvox胚胎翻转的起始
Elasticity and Glocality: Initiation of Embryonic Inversion in ${\it Volvox}$
AI总结：
研究Volvox胚胎翻转过程中弹性形变与全局约束的相互作用，揭示局部变形如何克服全局约束以启动胚胎翻转。
摘要：
在广泛尺度范围内，弹性物体在局部性质变化下会发生形变，但其形状是全球化（glocal）的，由局部性质与全局几何约束之间的复杂平衡决定。本文探讨了Volvox翻转过程中的这种相互作用，其胚胎必须自身翻转以完成发育。这一过程最近已被证明[S. Höhn等，Phys. Rev. Lett. 114, 178101 (2015)]可通过弹性壳体在局部曲率和伸长变化下的形变来描述，尽管其详细机制仍不明确。通过渐近分析和双曲行为的数值研究，我们展示了如何适当的局部形变能够克服全局约束以启动翻转。
英文摘要：
Elastic objects across a wide range of scales deform under local changes of their intrinsic properties, yet the shapes are ${\it glocal}$, set by a complicated balance between local properties and global geometric constraints. Here, we explore this interplay during the inversion process of the green alga ${\it Volvox}$, whose embryos must turn themselves inside out to complete their development. This process has recently been shown [S. Höhn ${\it et~al}.$, ${\it Phys. Rev. Lett.}$ $\textbf{114}$, 178101 (2015)] to be well described by the deformations of an elastic shell under local variations of its intrinsic curvatures and stretches, although the detailed mechanics of the process have remained unclear. Through a combination of asymptotic analysis and numerical studies of the bifurcation behavior, we illustrate how appropriate local deformations can overcome global constraints to initiate inversion.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
