Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the validity of the stochastic quasi-steady-state approximation in
  open enzyme catalyzed reactions: Timescale separation or singular
  perturbation?   The quasi-steady-state approximation is widely used to develop simplified
deterministic or stochastic models of enzyme catalyzed reactions. In
deterministic models, the quasi-steady-state approximation can be
mathematically justified from singular perturbation theory. For several closed
enzymatic reactions, the homologous extension of the quasi-steady-state
approximation to the stochastic regime, known as the stochastic
quasi-steady-state approximation, has been shown to be accurate under the
analogous conditions that permit the quasi-steady-state reduction of the
deterministic counterpart. However, it was recently demonstrated that the
extension of the stochastic quasi-steady-state approximation to an open
Michaelis--Menten reaction mechanism is only valid under a condition that is
far more restrictive than the qualifier that ensures the validity of its
corresponding deterministic quasi-steady-state approximation. In this paper, we
suggest a possible explanation for this discrepancy from the lens of geometric
singular perturbation theory. In so doing, we illustrate a misconception in the
application of the quasi-steady-state approximation: timescale separation does
not imply singular perturbation.

30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn