Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steady-state fluctuations of a genetic feedback loop with fluctuating
  rate parameters using the unified colored noise approximation   A common model of stochastic auto-regulatory gene expression describes
promoter switching via cooperative protein binding, effective protein
production in the active state and dilution of proteins. Here we consider an
extension of this model whereby colored noise with a short correlation time is
added to the reaction rate parameters -- we show that when the size and
timescale of the noise is appropriately chosen it accounts for fast reactions
that are not explicitly modelled, e.g., in models with no mRNA description,
fluctuations in the protein production rate can account for rapid multiple
stages of nuclear mRNA processing which precede translation in eukaryotes. We
show how the unified colored noise approximation can be used to derive
expressions for the protein number distribution that is in good agreement with
stochastic simulations. We find that even when the noise in the rate parameters
is small, the protein distributions predicted by our model can be significantly
different than models assuming constant reaction rates.

21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci