Cell contamination and branching process in random environment with immigration

Details Cell contamination and branching process in random environment with immigration Cell contamination and branching process in random environment with immigration

2008-05-13

arxiv.org/abs/0805.1863v2

Mathematics

Probability

Scientific paper

We consider a branching model for a population of dividing cells infected by parasites. Each cell receives parasites by inheritance from its mother cell and independent contamination from outside the population. Parasites multiply randomly inside the cell and are shared randomly between the two daughter cells when the cell divides. The law of the number of parasites which contaminate a given cell depends only on whether the cell is already infected or not. We determine the asymptotic behavior of the number of parasites in a cell line, which follows a branching process in random environment with state dependent immigration. We then derive a law of large numbers for the asymptotic proportions of cells with a given number of parasites. The main tools are branching processes in random environment and laws of large numbers for Markov tree.

Affiliated with

Also associated with

No associations

Rating

Cell contamination and branching process in random environment with immigration 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 Cell contamination and branching process in random environment with immigration, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cell contamination and branching process in random environment with immigration will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472571