Appears in collection : 2022 - T1 - WS1 - Tissue growth and movement

By (University of Toulouse) Abstract: During vertebrate embryo elongation, live imaging shows cellular turbulent behavior in the embryonic tissues. We propose a mechanical model in 2D to model the growth of the tissues during the embryo elongation. Viscosity of the tissues is taken into account through the Brinkman law, a choice which allows a non-trivial rotational for the velocities of the tissues. One more speci city of our model is that segregation between the tissues is enforced through a segregation pressure. After the incompressible limit is (formally) performed, the qualitative behaviour at the limit is studied, and a ghost e ect is discussed.