23 citations · 52 across the 14 of their papers we have counts for
4 papers · 1 filter
Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion
Marie Doumic, Sophie Hecht, Benoit Perthame +1
Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems…
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…
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…