43 citations · 87 across the 7 of their papers we have counts for
9 papers
Parasite infection in a cell population: role of the partitioning kernel
Aline Marguet, Charline Smadi
We consider a cell population subject to a parasite infection. Cells divide at a constant rate and, at division, share the parasites they contain between their two daughter cells.…
Spread of parasites affecting death and division rates in a cell population
Aline Marguet, Charline Smadi
We introduce a general class of branching Markov processes for the modelling of a parasite infection in a cell population. Each cell contains a quantity of parasites which evolves…
Parasite infection in a cell population with deaths
Aline Marguet, Charline Smadi
We introduce a general class of branching Markov processes for the modelling of a parasite infection in a cell population. Each cell contains a quantity of parasites which evolves…
Long time behaviour of continuous-state nonlinear branching processes with catastrophes
Aline Marguet, Charline Smadi
Motivated by the study of a parasite infection in a cell line, we introduce a general class of Markov processes for the modelling of population dynamics. The population process evo…
A non-conservative Harris ergodic theorem
Vincent Bansaye, Bertrand Cloez, Pierre Gabriel +1
We consider non-conservative positive semigroups and obtain necessary and sufficient conditions for uniform exponential contraction in weighted total variation norm. This ensures t…
Statistical estimation in a randomly structured branching population
Marc Hoffmann, Aline Marguet
We consider a binary branching process structured by a stochastic trait that evolves according to a diffusion process that triggers the branching events, in the spirit of Kimmel's…
A law of large numbers for branching Markov processes by the ergodicity of ancestral lineages
Aline Marguet
We are interested in the dynamic of a structured branching population where the trait of each individual moves according to a Markov process. The rate of division of each individua…
Probabilistic and Piecewise Deterministic models in Biology
Bertrand Cloez, Renaud Dessalles, Alexandre Genadot +3
We present recent results on Piecewise Deterministic Markov Processes (PDMPs), involved in biological modeling. PDMPs, first introduced in the probabilistic literature by Davis (19…
Uniform sampling in a structured branching population
Aline Marguet
We are interested in the dynamic of a structured branching population where the trait of each individual moves according to a Markov process. The rate of division of each individua…