187 citations · 1.1k across the 80 of their papers we have counts for
7 papers · 1 filter
Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model
Charles Elbar, Benoît Perthame, Alexandre Poulain
The Keller-Segel model is a well-known system representing chemotaxis in living organisms. We study the convergence of a generalized nonlinear variant of the Keller-Segel to the de…
Selection-mutation dynamics with asymmetrical reproduction kernels
Benoît Perthame, Martin Strugarek, Cécile Taing
We study a family of selection-mutation models of a sexual population structured by a phenotypical trait. The main feature of these models is the asymmetric trait heredity or fecun…
Motility switching and front-back synchronisation in polarized cells
Gissell Estrada-Rodriguez, Benoit Perthame
The combination of protrusions and retractions in the movement of polarized cells leads to understand the effect of possible synchronisation between the two ends of the cells. This…
A multiple time renewal equation for neural assemblies with elapsed time model
Nicolás Torres, Benoît Perthame, Delphine Salort
We introduce and study an extension of the classical elapsed time equation in the context of neuron populations that are described by the elapsed time since the last discharge, i.e…
Convergence rate for the incompressible limit of nonlinear diffusion-advection equations
Noemi David, Tomasz Dębiec, Benoît Perthame
The incompressible limit of nonlinear diffusion equations of porous medium type has attracted a lot of attention in recent years, due to its ability to link the weak formulation of…
An elapsed time model for strongly coupled inhibitory and excitatory neural networks
Maria Caceres, Benoît Perthame, Delphine Salort +1
The elapsed time model has been widely studied in the context of mathematical neuroscience with many open questions left. The model consists of an age-structured equation that desc…