Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic analysis of a miRNA-protein toggle switch   Within systems biology there is an increasing interest in the stochastic
behavior of genetic and biochemical reaction networks. An appropriate
stochastic description is provided by the chemical master equation, which
represents a continuous time Markov chain (CTMC). In this paper we consider the
stochastic properties of a biochemical circuit, known to control eukaryotic
cell cycle and possibly involved in oncogenesis, recently proposed in the
literature within a deterministic framework. Due to the inherent stochasticity
of biochemical processes and the small number of molecules involved, the
stochastic approach should be more correct in describing the real system: we
study the agreement between the two approaches by exploring the system
parameter space. We address the problem by proposing a simplified version of
the model that allows analytical treatment, and by performing numerical
simulations for the full model. We observed optimal agreement between the
stochastic and the deterministic description of the circuit in a large range of
parameters, but some substantial differences arise in at least two cases: 1)
when the deterministic system is in the proximity of a transition from a
monostable to a bistable configuration, and 2) when bistability (in the
deterministic system) is "masked" in the stochastic system by the distribution
tails. The approach provides interesting estimates of the optimal number of
molecules involved in the toggle. Our discussion of the points of strengths,
potentiality and weakness of the chemical master equation in systems biology
and the differences with respect to deterministic modeling are leveraged in
order to provide useful advice for both the bioinformatician practitioner and
the theoretical scientist.

37
The categories of this paper are: supr-con
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
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph