生长诱导形态发生中的流化现象

中文摘要 AI 辅助

弹性屈曲已解释了生长组织中的形状形成，然而组织流变性的作用仍不明确。我们推导了一个最小流化生长-弹性模型，作为麦克斯韦流变的非线性类比。对生长条带的分析表明，流变性在压缩下促进对称性破缺，同时调节应力积累，因此形态发生能在弹性屈曲阈值之前连续发展。流变性进一步控制流动模式，从平滑的正弦起伏到加宽的波峰和局部凹陷，低流变性更有利于更强的局部化。

英文摘要

Elastic buckling has explained shape formation in growing tissues, yet the role of tissue fluidity remains elusive. We derive a minimal fluidized growth-elasticity model as a nonlinear analogue of Maxwell rheology. Analysis of a growing strip reveals a different picture of growth-induced morphogenesis: rather than emerging at a critical stress, symmetry breaking develops continuously during growth. Fluidity regulates stress evolution, the rate of shape-symmetry breaking, and flow patterns, establishing it as an active regulator of morphogenesis beyond its intuitive role in stress relaxation.

发表机构

• Worcester Polytechnic Institute（伍斯特理工学院）

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