Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variable elimination in post-translational modification reaction
  networks with mass-action kinetics   We define a subclass of Chemical Reaction Networks called Post-Translational
Modification systems. Important biological examples of such systems include
MAPK cascades and two-component systems which are well-studied experimentally
as well as theoretically. The steady states of such a system are solutions to a
system of polynomial equations with as many variables as equations. Even for
small systems the task of finding the solutions is daunting. We develop a
mathematical framework based on the notion of a cut, which provides a linear
elimination procedure to reduce the number of variables in the system. The
steady states are parameterized algebraically by a set of "core" variables, and
the non-negative steady states correspond to non-negative values of the core
variables. Further, minimal cuts are the connected components in the species
graph and provide conservation laws. A criterion for when a set of independent
conservation laws can be derived from cuts is given.

37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas