Morphogenetic dynamics of tissue sheets require coordinated cell shape changes regulated by global patterning of mechanical forces. Inspired by such biological phenomena, we propose a minimal mechanochemical model based on the notion that cell shape changes are induced by diffusible biomolecules that influence tissue contractility in a concentration-dependent manner – and whose concentration is in turn affected by the macroscopic tissue shape. We perform computational simulations of thin shell elastic dynamics to reveal propagating chemical and three-dimensional deformation patterns arising due to a sequence of buckling instabilities. Depending on the concentration threshold that actuates cell shape change, we find qualitatively different patterns. The mechanochemically coupled patterning dynamics are distinct from those driven by purely mechanical or purely chemical factors, and emerge even without diffusion. Using numerical simulations and theoretical arguments, we analyze the elastic instabilities that result from our model and provide simple scaling laws to identify wrinkling morphologies.
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Inelastic effects in bulge formation of inflated polymer tubes
Tubes that are not purely elastic show an inflation instability with multiple, slowly-growing bulges. Viscoelasticity, strain-induced damage, and permanent deformation all cause deviations from purely elastic behavior.
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- Award ID(s):
- 2036164
- PAR ID:
- 10561412
- Publisher / Repository:
- RSC
- Date Published:
- Journal Name:
- Soft Matter
- Volume:
- 20
- Issue:
- 20
- ISSN:
- 1744-683X
- Page Range / eLocation ID:
- 4152 to 4164
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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