Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic nonlinear model for somatic cell population dynamics during
  ovarian follicle activation   In mammals, female germ cells are sheltered within somatic structures called
ovarian follicles, which remain in a quiescent state until they get activated,
all along reproductive life. We investigate the sequence of somatic cell events
occurring just after follicle activation, starting by the awakening of
precursor somatic cells, and their transformation into proliferative cells. We
introduce a nonlinear stochastic model accounting for the joint dynamics of the
two cell types, and allowing us to investigate the potential impact of a
feedback from proliferative cells onto precursor cells. To tackle the key issue
of whether cell proliferation is concomitant or posterior to cell awakening, we
assess both the time needed for all precursor cells to awake, and the
corresponding increase in the total cell number with respect to the initial
cell number. Using the probabilistic theory of first passage times, we design a
numerical scheme based on a rigorous Finite State Projection and coupling
techniques to compute the mean extinction time and the cell number at
extinction time. We find that the feedback term clearly lowers the number of
proliferative cells at the extinction time. We calibrate the model parameters
using an exact likelihood approach. We carry out a comprehensive comparison
between the initial model and a series of submodels, which helps to select the
critical cell events taking place during activation, and suggests that
awakening is prominent over proliferation.

11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th