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Parasite infection in a cell population: role of the partitioning kernel

Autor: Marguet, Aline, Smadi, Charline

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ad9b524a11c505e58f5d3b17985a4cd

Spread of parasites affecting death and division rates in a cell population

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6cd99dbd1835871e322657f940cb8d9

Long time behaviour of continuous-state nonlinear branching processes with catastrophes

Autor: Aline Marguet, Charline Smadi

Publikováno v: Electronic Journal of Probability
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2021, 26, pp.1-32. ⟨10.1214/21-EJP664⟩
Electronic Journal of Probability, 2021, 26, pp.95. ⟨10.1214/21-EJP664⟩

International audience; 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 r

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a836dc728c3ca77020add3811216a366
https://hal.archives-ouvertes.fr/hal-02274642v4/document

Parasite infection in a cell population with deaths

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21a7a568c78b4c4892faaeac7a6e275c