Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rate-Equation Modelling and Ensemble Approach to Extraction of
  Parameters for Viral Infection-Induced Cell Apoptosis and Necrosis   We develop a theoretical approach that uses physiochemical kinetics modelling
to describe cell population dynamics upon progression of viral infection in
cell culture, which results in cell apoptosis (programmed cell death) and
necrosis (direct cell death). Several model parameters necessary for computer
simulation were determined by reviewing and analyzing available published
experimental data. By comparing experimental data to computer modelling
results, we identify the parameters that are the most sensitive to the measured
system properties and allow for the best data fitting. Our model allows
extraction of parameters from experimental data and also has predictive power.
Using the model we describe interesting time-dependent quantities that were not
directly measured in the experiment, and identify correlations among the fitted
parameter values. Numerical simulation of viral infection progression is done
by a rate-equation approach resulting in a system of "stiff" equations, which
are solved by using a novel variant of the stochastic ensemble modelling
approach. The latter was originally developed for coupled chemical reactions.

9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph