Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic enzyme kinetics and the quasi-steady-state reductions:
  Application of the slow scale linear noise approximation \`a la Fenichel   The linear noise approximation models the random fluctuations from the mean
field model of a chemical reaction that unfolds near the thermodynamic limit.
Specifically, the fluctuations obey a linear Langevin equation up to order
$\Omega^{-1/2}$, where $\Omega$ is the size of the chemical system (usually the
volume). In the presence of disparate timescales, the linear noise
approximation admits a quasi-steady-state reduction referred to as the
\textit{slow scale} linear noise approximation. However, the slow scale linear
approximation has only been derived for fast/slow systems that are in Tikhonov
standard form. In this work, we derive, for the first time, the slow scale
linear noise approximation directly from Fenichel theory, without the need for
a priori scaling and dimensional analysis. In so doing, we also apply, for the
first time, the slow scale linear noise approximation to fast/slow systems that
are not in standard form. Furthermore, we demonstrate how a priori scaling
analysis can in some cases distort the structure of the mean field singular
perturbation, and this distortion can lead to the incomplete reduction of the
linear Langevin equation. In its entirety, our paper not only presents new
mathematical results to the fields of mathematical biology and physical
chemistry, it also unifies the several important research results in
deterministic and stochastic chemical kinetics.

27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc