Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proliferating parasites in dividing cells : Kimmel's branching model
  revisited   We consider a branching model introduced by Kimmel for cell division with
parasite infection. Cells contain proliferating parasites which are shared
randomly between the two daughter cells when they divide. We determine the
probability that the organism recovers, meaning that the asymptotic proportion
of contaminated cells vanishes. We study the tree of contaminated cells, give
the asymptotic number of contaminated cells and the asymptotic proportions of
contaminated cells with a given number of parasites. This depends on domains
inherited from the behavior of branching processes in random environment (BPRE)
and given by the bivariate value of the means of parasite offsprings. In one of
these domains, the convergence of proportions holds in probability, the limit
is deterministic and given by the Yaglom quasistationary distribution.
Moreover, we get an interpretation of the limit of the Q-process as the
size-biased quasistationary distribution.

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The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: stat
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga