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PreprintarXiv licencearXiv

Fluidization in Growth-Induced Morphogenesis

Abstract

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.

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BibTeX
@misc{wu2026fluidization,
  title = {{Fluidization in Growth-Induced Morphogenesis}},
  author = {Min Wu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.05858},
  eprint = {2609.05858},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.05858},
}
RIS
TY  - UNPB
TI  - Fluidization in Growth-Induced Morphogenesis
AU  - Min Wu
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.05858
UR  - https://arxiv.org/abs/2609.05858
AB  - 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.
ER  -