5 papers
Threatening excursions in large population quasi-stationary birth and death systems. On a question of Antonio Galves
Pierre Collet, Servet MartÃnez, Sylvie Méléard
We consider time continuous multispecies birth and death processes in a regime of large populations. The jump rates depend on a large scaling parameter K modeling the charge capaci…
From stochastic individual-based models to free-boundary Hamilton-Jacobi equations
Nicolas Champagnat, Sylvie Méléard, Sepideh Mirrahimi +1
We study a stochastic branching model for a population structured by a quantitative phenotypic trait and subject to births, deaths, and mutations. In a regime of large population a…
Hematopoiesis as a continuum: from stochastic compartmental model to hydrodynamic limit
Vincent Bansaye, Ana Fernández Baranda, Stéphane Giraudier +1
We consider a multiscale stochastic compartmental model with three types of cells (stem cells, immature cells and mature cells) which combines cell proliferation and cell different…
Classical JAK2V617F+ Myeloproliferative Neoplasms emergence and development based on real life incidence and mathematical modeling
Ana Fernández Baranda, Vincent Bansaye, Evelyne Lauret +4
Mathematical modeling allows us to better understand myeloproliferative neoplasms (MPN), a group of blood cancers, emergence and development. We test different mathematical models…
Long time behavior and Yaglom limit for real trait-structured Birth and Death Processes
Pierre Collet, Sylvie Méléard, Jaime San
In this article we study the long time behaviour of measure-valued birth and death processes in continuous time, where the dynamics between jumps are one-dimensional Markov process…