3 papers
math.AP2019
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…
math.AP2019
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…
q-bio.CB2018
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…