# A Host-Parasite Model for a Two-Type Cell Population

@article{Alsmeyer2013AHM, title={A Host-Parasite Model for a Two-Type Cell Population}, author={Gerold Alsmeyer and S{\"o}ren Gr{\"o}ttrup}, journal={Advances in Applied Probability}, year={2013}, volume={45}, pages={719 - 741} }

We consider a host-parasite model for a population of cells that can be of two types, A or B, and exhibits unilateral reproduction: while a B-cell always splits into two cells of the same type, the two daughter cells of an A-cell can be of any type. The random mechanism that describes how parasites within a cell multiply and are then shared into the daughter cells is allowed to depend on the hosting mother cell as well as its daughter cells. Focusing on the subpopulation of A-cells and its…

## 5 Citations

Parasite infection in a cell population with deaths

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A general class of branching Markov processes for the modelling of a parasite infection in a cell population and the influence of two parameters on the probability for the cell population to survive and/or contain the parasite infection is introduced.

Branching within branching: A model for host–parasite co-evolution

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- 2016

We consider a discrete-time host–parasite model for a population of cells which are colonized by proliferating parasites. The cell population grows like an ordinary Galton–Watson process, but in…

Branching within branching I: The extinction problem

- Mathematics
- 2015

We consider a discrete-time host-parasite model for a population of cells which are colonized by proliferating parasites. The cell population grows like an ordinary Galton-Watson process, but in…

Branching within branching II: Limit theorems

- Mathematics
- 2015

This continues work started in (4) on a general branching-within-branching model for host-parasite co-evolution. Here we focus on asymptotic results for rele- vant processes in the case when…

A Decomposable Branching Process in a Markovian Environment

- Mathematics, Biology
- 2012

This work studies asymptotics of the survival probability in critical and subcritical cases of a population that has two types of individuals, with each occupying an island.

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