Titre :

Branching Feller diffusion for cell division with parasite infection

Auteur(s) :

Bansaye, Vincent [Auteur correspondant]
Centre de Mathématiques Appliquées de l'Ecole polytechnique [CMAP]
Tran, Chi [Auteur correspondant]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Centre de Mathématiques Appliquées de l'Ecole polytechnique [CMAP]

Titre de la revue :

ALEA : Latin American Journal of Probability and Mathematical Statistics

Pagination :

95-127

Éditeur :

Instituto Nacional de Matemática Pura e Aplicada (Rio de Janeiro, Brasil) [2006-....]

Date de publication :

2011-01

ISSN :

1980-0436

Mot(s)-clé(s) en anglais :

Branching Processes
Feller diffusion
Multiplicative jumps
Parasite infection

Discipline(s) HAL :

Mathématiques [math]/Probabilités [math.PR]
Sciences du Vivant [q-bio]/Ecologie, Environnement/Interactions entre organismes

Résumé en anglais : [en]

We describe the evolution of the quantity of parasites in a population of cells which divide in continuous-time. The quantity of parasites in a cell follows a Feller diffusion, which is splitted randomly between the two ...
Lire la suite >We describe the evolution of the quantity of parasites in a population of cells which divide in continuous-time. The quantity of parasites in a cell follows a Feller diffusion, which is splitted randomly between the two daughter cells when a division occurs. The cell division rate may depend on the quantity of parasites inside the cell and we are interested in the cases of constant or monotone division rate. We first determine the asymptotic behavior of the quantity of parasites in a cell line, which follows a Feller diffusion with multiplicative jumps. We then consider the evolution of the infection of the cell population and give criteria to determine whether the proportion of infected cells goes to zero (recovery) or if a positive proportion of cells becomes largely infected (proliferation of parasites inside the cells).Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Modèles Aléatoires eN Ecologie, Génétique et Evolution

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T11:14:57Z