37 citations · 112 across the 14 of their papers we have counts for
4 papers · 1 filter
A chemotaxis-based explanation of spheroid formation in 3D cultures of breast cancer cells
Federica Bubba, Camille Pouchol, Nathalie Ferrand +4
Three-dimensional cultures of cells are gaining popularity as an in vitro improvement over 2D Petri dishes. In many such experiments, cells have been found to organize in aggregate…
Phase portrait control for 1D monostable and bistable reaction-diffusion equations
Camille Pouchol, Emmanuel Trélat, Enrique Zuazua
We consider the problem of controlling parabolic semilinear equations arising in population dynamics, either in finite time or infinite time. These are the monostable and bistable…
Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations
Luís Neves de Almeida, Federica Bubba, Benoît Perthame +1
The parabolic-elliptic Keller-Segel equation with sensitivity saturation, because of its pattern formation ability, is a challenge for numerical simulations. We provide two finite-…
On the stability of the state 1 in the non-local Fisher-KPP equation in bounded domains
Camille Pouchol
We consider the non-local Fisher-KPP equation on a bounded domain with Neu-mann boundary conditions. Thanks to a Lyapunov function, we prove that under a general hypothesis on the…