187 citations · 1.1k across the 80 of their papers we have counts for
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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…
A two species hyperbolic-parabolic model of tissue growth
Piotr Gwiazda, Benoît Perthame, Agnieszka Świerczewska-Gwiazda
Models of tissue growth are now well established, in particular in relation to their applications to cancer. They describe the dynamics of cells subject to motion resulting from a…
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-…
The Flux Limited Keller-Segel System; Properties and Derivation from Kinetic Equations
Benoît Perthame, Nicolas Vauchelet, Zhian Wang
The flux limited Keller-Segel (FLKS) system is a macroscopic model describing bacteria motion by chemotaxis which takes into account saturation of the velocity. The hyper-bolic for…
Oscillatory regimes in a mosquito population model with larval feedback on egg hatching
Martin Strugarek, Laetitia Dufour, Nicolas Vauchelet +3
Understanding mosquitoes life cycle is of great interest presently because of the increasing impact of vector borne diseases in several countries. There is evidence of oscillations…