Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Marguet, Aline"'
Autor:
Marguet, Aline, Smadi, Charline
Publikováno v:
J. Math. Biol. 89, 14 (2024)
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. The sharing may be asymmetrical, and its law may depend on the quantit
Externí odkaz:
http://arxiv.org/abs/2305.06962
Autor:
Marguet, Aline, Smadi, Charline
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 as a diffusion with positive jumps. The drift, diffusive function and
Externí odkaz:
http://arxiv.org/abs/2211.08265
Autor:
Marguet, Aline, Smadi, Charline
Publikováno v:
In Stochastic Processes and their Applications February 2024 168
Autor:
Marguet, Aline, Smadi, Charline
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 as a diffusion with positive jumps. The growth rate, diffusive functio
Externí odkaz:
http://arxiv.org/abs/2010.16070
Autor:
Marguet, Aline, Smadi, Charline
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 evolves as a diffusion with positive jumps whose rate is a function of th
Externí odkaz:
http://arxiv.org/abs/1908.11592
Publikováno v:
Journal of the London Mathematical Society, 2022, 106 (3), pp.2459-2510
We consider non-conservative positive semigroups and obtain necessary and sufficient conditions for uniform exponential contraction in weighted total variation norm. This ensures the existence of Perron eigenelements and provides quantitative estimat
Externí odkaz:
http://arxiv.org/abs/1903.03946
Autor:
Marguet, Aline
Cette thèse porte sur l'étude probabiliste et statistique de populations sans interactions structurées par un trait. Elle est motivée par la compréhension des mécanismes de division et de vieillissement cellulaire. On modélise la dynamique de
Externí odkaz:
http://www.theses.fr/2017SACLX073/document
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Hoffmann, Marc, Marguet, Aline
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 model of cell division with parasite infection. Based on the observati
Externí odkaz:
http://arxiv.org/abs/1712.04404
Autor:
Marguet, Aline
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 individual is a function of its trait and when a branching event occurs, the tr
Externí odkaz:
http://arxiv.org/abs/1707.07993