37 citations · 112 across the 14 of their papers we have counts for
5 papers · 1 filter
Long-time behaviour of an advection-selection equation
Jules Guilberteau, Camille Pouchol, Nastassia Pouradier Duteil
We study the long-time behaviour of the advection-selection equation $$\partial_tn(t,x)+\nabla \cdot \left(f(x)n(t,x)\right)=\left(r(x)-ρ(t)\right)n(t,x),\quad ρ(t)=\int_{\mathbb{R…
A phenotype-structured model for the tumour-immune response
Zineb Kaid, Camille Pouchol, Jean Clairambault
This paper presents a mathematical model for tumour-immune response interactions in the perspective of immunotherapy by immune checkpoint inhibitors ICIs. The model is of the nonlo…
Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks
Tommaso Lorenzi, Camille Pouchol
We study the long-time behaviour of phenotype-structured models describing the evolutionary dynamics of asexual species whose phenotypic fitness landscape is characterised by multi…
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…
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…