Thin structures are ubiquitous in life mostly in botanic (flowers, leaves) but not only . In mammals or insects, they concern epithelia or the couple epithelium-extracellular matrix joined in a thin bilayer. The complexity of finite-elasticity with growth is then simplified, the main task being the adaptation of elasticity to the geometry of the system under study. I will present two different growing epithelia: first the cyst made by pluri-potent stem cells then the wing of the imaginal disc of genetically mutated drosophila. In the first case, the classical and simple model of a growing spherical shell reproduces perfectly the dynamics of proliferation of the stem cell assembly during more than 10 days with an extremely low level of stress. For the second case, I will show how the Von-Karman-Ciarlet modelling with growth explains the local collapse of the bilayer.
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