Zobrazeno 1 - 10
of 292
pro vyhledávání: '"Méléard, P."'
In Escherichia coli the response to DNA damage shows strong cell-to-cell-heterogenity. This results in a random delay in cell division and asymmetrical binary fission of single cells, which can compromise the size homeostasis of the population. To qu
Externí odkaz:
http://arxiv.org/abs/2409.17168
Autor:
Baranda, Ana Fernández, Bansaye, Vincent, Lauret, Evelyne, Mounier, Morgane, Ugo, Valérie, Méléard, Sylvie, Giraudier, Stéphane
Mathematical modeling offers the opportunity to test hypothesis concerning Myeloproliferative emergence and development. We tested different mathematical models based on a training cohort (n=264 patients) (Registre de la c\^ote d'Or) to determine the
Externí odkaz:
http://arxiv.org/abs/2406.06765
We study the asymptotics of a two-dimensional stochastic differential system with a degenerate diffusion matrix. This system describes the dynamics of a population where individuals contribute to the degradation of their environment through two diffe
Externí odkaz:
http://arxiv.org/abs/2405.01898
In this article we study the long time behavior of linear functionals of branching diffusion processesas well as the time reversal of the spinal process by means of spectral properties of the Feynman-Kacsemigroup. We generalize for this non Markovian
Externí odkaz:
http://arxiv.org/abs/2404.09568
Under low concentrations of antibiotics causing DNA damage, \textit{Escherichia coli} bacteria can trigger stochastically a stress response known as the SOS response. While the expression of this stress response can make individual cells transiently
Externí odkaz:
http://arxiv.org/abs/2403.13415
We are interested in the invasion phase for stochastic processes with interactions when a single mutant with positive fitness arrives in a resident population at equilibrium. By a now classic approach, the first stage of the invasion is well approxim
Externí odkaz:
http://arxiv.org/abs/2212.14320
We consider a stochastic model for the evolution of a discrete population structured by a trait with values on a finite grid of the torus, and with mutation and selection. Traits are vertically inherited unless a mutation occurs, and influence the bi
Externí odkaz:
http://arxiv.org/abs/2205.00770
We consider a general class of birth-and-death processes with state space $\{0,1,2,3,\ldots\}$ which describes the size of a population going eventually to extinction with probability one. We obtain the complete spectrum of the generator of the proce
Externí odkaz:
http://arxiv.org/abs/2204.10748
We consider a stochastic individual-based population model with competition, trait-structure affecting reproduction and survival, and changing environment. The changes of traits are described by jump processes, and the dynamics can be approximated in
Externí odkaz:
http://arxiv.org/abs/2201.05223
We investigate a simple quantitative genetics model subjet to a gradual environmental change from the viewpoint of the phylogenies of the living individuals. We aim to understand better how the past traits of their ancestors are shaped by the adaptat
Externí odkaz:
http://arxiv.org/abs/2104.10427