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most citedQuantitative effects of the stress response to DNA damage in the cell size control of Escherichia coli

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q-bio.QM2024★ 1 cited

Quantitative effects of the stress response to DNA damage in the cell size control of Escherichia coli

Ignacio Madrid Canales, James Broughton, Sylvie Méléard +1

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 cel…

math.PR2024

Long-time behaviour of a multidimensional age-dependent branching process with a singular jump kernel modelling telomere shortening

Jules Olayé, Milica Tomasevic

In this article, we investigate the ergodic behaviour of a multidimensional age-dependent branching process with a singular jump kernel, motivated by studying the phenomenon of tel…

math.DS2024

Long time behavior of a degenerate stochastic system modeling the response of a population face to environmental impacts

Pierre Collet, Claire Ecotière, Sylvie Méléard

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 individual…

math.PR2024

Branching diffusion processes and spectral properties of Feynman-Kac semigroup

Pierre Collet, Sylvie Méléard, Jaime San MARTIN

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 proper…

math.PR2024

Estimation of the lifetime distribution from fluctuations in Bellman-Harris processes

Jules Olayé, Hala Bouzidi, Andrey Aristov +4

The growth of a population is often modeled as branching process where each individual at the end of its life is replaced by a certain number of offspring. An example of these bran…