3 papers
math.PR2023
A PDMP to model the stochastic influence of quiescence dynamics in blood cancers
Céline Bonnet
In this article, we will see a new approach to study the impact of a small microscopic population of cancer cells on a macroscopic population of healthy cells, with an example insp…
math.PR2019
Large fluctuations in multi-scale modeling for rest erythropoiesis
Celine Bonnet, Sylvie Méléard
Erythropoiesis is a mechanism for the production of red blood cells by cellular differentiation. It is based on amplification steps due to an interplay between renewal and differen…
q-bio.TO2019
Multiscale population dynamics in reproductive biology: singular perturbation reduction in deterministic and stochastic models
Celine Bonnet, Keltoum Chahour, Frédérique Clément +2
In this study, we describe different modeling approaches for ovarian follicle population dynamics, based on either ordinary (ODE), partial (PDE) or stochastic (SDE) differential eq…