17 citations · 18 across the 5 of their papers we have counts for
8 papers
Asymptotic preserving schemes for nonlinear kinetic equations leading to volume-exclusion chemotaxis in the diffusive limit
Gissell Estrada-Rodriguez, Diane Peurichard, Xinran Ruan
In this work we first prove, by formal arguments, that the diffusion limit of nonlinear kinetic equations, where both the transport term and the turning operator are density-depend…
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-…
Large-scale dynamics of self-propelled particles moving through obstacles: model derivation and pattern formation
Pedro Aceves-Sanchez, Pierre Degond, Eric E. Keaveny +3
We model and study the patterns created through the interaction of collectively moving self-propelled particles (SPPs) and elastically tethered obstacles. Simulations of an individ…
Modelling adhesion-independent cell migration
Gaspard Jankowiak, Diane Peurichard, Anne Reversat +2
A two-dimensional mathematical model for cells migrating without adhesion capabilities is presented and analyzed. Cells are represented by their cortex, which is modelled as an ela…
A new model for the emergence of blood capillary networks
P. Aceves-Sanchez, B. Aymard, D. Peurichard +5
We propose a new model for the emergence of blood capillary networks. We assimilate the tissue and extra cellular matrix as a porous medium, using Darcy's law for describing both b…
Extra-cellular matrix rigidity may dictate the fate of injury outcome
Diane Peurichard, Marielle Ousset, Jenny Paupert +4
After injury, if regeneration can be observed in hydra, planaria and some vertebrates, regeneration is rare in mammals and particularly in humans. In this paper, we investigate the…