Proliferating parasites in dividing cells: Kimmel's branching model revisited

DOI10.1214/07-AAP465zbMath1142.60054arXivmath/0701917OpenAlexW2130228765MaRDI QIDQ930673

Vincent Bansaye

Publication date: 1 July 2008

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701917

zbMATH Keywords

empirical measuresquasistationary distributionBienaymé Galton Watson process (BGW)branching processes in random environment (BPRE)Markov chain indexed by a tree

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of branching processes (60J85) Population dynamics (general) (92D25) Processes in random environments (60K37) Cell biology (92C37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (21)

Branching within branching: a model for host-parasite co-evolution ⋮ Convergence of metric two-level measure spaces ⋮ A phase transition for large values of bifurcating autoregressive models ⋮ Estimating the division kernel of a size-structured population ⋮ Detection of cellular aging in a Galton-Watson process ⋮ Parasite infection in a cell population with deaths and reinfections ⋮ Spread of parasites affecting death and division rates in a cell population ⋮ Subcritical branching processes in a random environment without the Cramer condition ⋮ Self-similarity in a general aggregation-fragmentation problem. Application to fitness analysis ⋮ Parameters estimation for asymmetric bifurcating autoregressive processes with missing data ⋮ Lower large deviations for supercritical branching processes in random environment ⋮ Ancestral lineages and limit theorems for branching Markov chains in varying environment ⋮ Limit theorems for Markov processes indexed by continuous time Galton-Watson trees ⋮ Population Dynamics and Random Genealogies ⋮ Cell contamination and branching processes in a random environment with immigration ⋮ Surviving particles for subcritical branching processes in random environment ⋮ Weak law of large numbers for some Markov chains along non homogeneous genealogies ⋮ Statistical estimation in a randomly structured branching population ⋮ Statistical estimation of a growth-fragmentation model observed on a genealogical tree ⋮ A Host-Parasite Model for a Two-Type Cell Population ⋮ Limit theorems for bifurcating integer-valued autoregressive processes

Cites Work

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