37 citations · 58 across the 4 of their papers we have counts for
5 papers
From a discrete model of chemotaxis with volume-filling to a generalised Patlak-Keller-Segel model
Federica Bubba, Tommaso Lorenzi, Fiona R Macfarlane
We present a discrete model of chemotaxis whereby cells responding to a chemoattractant are seen as individual agents whose movement is described through a set of rules that result…
A nonnegativity preserving scheme for the relaxed Cahn-Hilliard equation with single-well potential and degenerate mobility
Alexandre Poulain, Federica Bubba
We propose and analyze a finite element approximation of the relaxed Cahn-Hilliard equation with singular single-well potential of Lennard-Jones type and degenerate mobility that i…
Hele-Shaw limit for a system of two reaction-(cross-)diffusion equations for living tissues
Federica Bubba, Benoît Perthame, Camille Pouchol +1
Multiphase mechanical models are now commonly used to describe living tissues including tumour growth. The specific model we study here consists of two equations of mixed parabolic…
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…
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-…