17 citations · 17 across the 3 of their papers we have counts for
5 papers
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…
A purely mechanical model with asymmetric features for early morphogenesis of rod-shaped bacteria micro-colony
Marie Doumic, Sophie Hecht, Diane Peurichard
To model the morphogenesis of rod-shaped bacterial micro-colony, several individual-based models have been proposed in the biophysical literature. When studying the shape of micro-…
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…
Incompressible limit of a continuum model of tissue growth with segregation for two cell populations
Alina Chertock, Pierre Degond, Sophie Hecht +1
This paper proposes a model for the growth two interacting populations of cells that do not mix. The dynamics is driven by pressure and cohesion forces on the one hand and prolifer…
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…