activity
20172023
most citedA purely mechanical model with asymmetric features for early morphogenesis of rod-shaped bacteria micro-colony

17 citations · 17 across the 6 of their papers we have counts for

collaborators
Showing math.APShow all

3 papers · 1 filter

math.AP2022

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

Pierre Degond, Sophie Hecht, Michèle Romanos +1

We introduce two 2D mechanical models reproducing the evolution of two viscous tissues in contact. Their main property is to model the swirling cell motions while keeping the tissu…

math.AP2018

Incompressible limit of a continuum model of tissue growth for two cell populations

P. Degond, S. Hecht, N. Vauchelet

This paper investigates the incompressible limit of a system modelling the growth of two cells population. The model describes the dynamics of cell densities, driven by pressure ex…

math.AP2017

Incompressible limit of a mechanical model for tissue growth with non-overlapping constraint. *

Sophie Hecht, Nicolas Vauchelet

A mathematical model for tissue growth is considered. This model describes the dynamics of the density of cells due to pressure forces and proliferation. It is known that such cell…