Branching Feller diffusion for cell division with parasite infection

Details Branching Feller diffusion for cell division with parasite infection Branching Feller diffusion for cell division with parasite infection

2010-04-02

arxiv.org/abs/1004.0873v3

ALEA : Latin American Journal of Probability and Mathematical Statistics 8 (2011) 95-127

Biology

Quantitative Biology

Populations and Evolution

Scientific paper

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).

Affiliated with

Also associated with

No associations

Rating

Branching Feller diffusion for cell division with parasite infection does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Branching Feller diffusion for cell division with parasite infection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Branching Feller diffusion for cell division with parasite infection will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-408370