64 citations · 258 across the 23 of their papers we have counts for
24 papers
Scaling limits for a population model with growth, division and cross-diffusion
Marie Doumic, Sophie Hecht, Marc Hoffmann +1
Originally motivated by the morphogenesis of bacterial microcolonies, the aim of this article is to explore models through different scales for a spatial population of interacting,…
Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion
Marie Doumic, Sophie Hecht, Benoit Perthame +1
Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems…
An inverse problem: recovering the fragmentation kernel from the short-time behaviour of the fragmentation equation
Marie Doumic, Miguel Escobedo, Magali Tournus
The present paper provides a new representation of the solution to the fragmentation equation as a power series in the Banach space of Radon measures endowed with the total variati…
Individual and population approaches for calibrating division rates in population dynamics: Application to the bacterial cell cycle
Marie Doumic, Marc Hoffmann
Modelling, analysing and inferring triggering mechanisms in population reproduction is fundamental in many biological applications. It is also an active and growing research domain…
A purely mechanical model with asymmetric features for early morphogenesis of rod-shaped bacteria micro-colony
Marie Doumic, Sophie Hecht, Diane Peurichard
To model the morphogenesis of rod-shaped bacterial micro-colony, several individual-based models have been proposed in the biophysical literature. When studying the shape of micro-…
A mathematical model of p62-ubiquitin aggregates in autophagy
Julia Delacour, Marie Doumic, Sascha Martens +2
Aggregation of ubiquitinated cargo by oligomers of the protein p62 is an important preparatory step in cellular autophagy. In this work a mathematical model for the dynamics of the…