Multi-species viscous models for embryonic tissue growth: incompressible limit and qualitative behaviour

Michèle Romanos
Université de Toulouse

Date(s) : 05/04/2022   iCal
11 h 00 min - 12 h 00 min

In this talk, we introduce two 2D mechanical models reproducing the
evolution of two embryonic viscous tissues in contact. Their main
property is to model the swirling cell motions while keeping the tissues
segregated, as observed during vertebrate embryo elongation.  The
difference in these models is how segregation is encoded: either by
passive or active segregation (based on a mechanical repulsion
We first explore the models numerically then we compute their
incompressible limits and obtain strictly segregated solutions. We
compare their qualitative behaviour at the limit and observe the
persistence of the repulsion pressure in the active segregation model: a
ghost effect is discussed and confronted to the biological data.
Finally, thanks to a transmission problem formulation, we show the
existence of a pressure jump at the tissues’ boundaries.
This work was done in collaboration with Pierre Degond, Sophie Hecht,
and Ariane Trescases.

Site Nord, CMI, Salle de Séminaire R164 (1er étage)


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