Séminaire Gulliver : Doron Grossman (Collège de France)

4 octobre 2021 11:30 » 13:00

Instabilities and geometry of growing tissues

also available on zoom :mail to matthieu.labousse@espci.psl.eu for link

Abstract :

The vertex model is a discrete often used to described cellular media, where elastic energy depends on the -difference of cells’ actual area and perimeter from a reference values. Cells are allowed to change neighbors via di-fferent topological transition - including division, apoptosis and so - called T1 transitions. We derive a complete, coarse grained, continuum model of the 2D vertex model, applicable for di-fferent underlying geometries, and allows for analytical analysis. Using a geometric approach and out-of-equilibrium statistical mechanics, we calculate both mechanical and dynamical instabilities within a tissue, and their dependence on diff-erent variables, including activity, and disorder. Most notably, the tissue’s response depends on the existence of mechanical residual stresses on a cellular level. Thus, even freely growing tissues may exhibit a growth instability depending on food consumption. Using this geometric model we can readily distinct between elasticity and plasticity in a growing, flowing, tissue.

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