Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analyzing Multistationarity in Chemical Reaction Networks using the
  Determinant Optimization Method   Multistationary chemical reaction networks are of interest to scientists and
mathematicians alike. While some criteria for multistationarity exist,
obtaining explicit reaction rates and steady states that exhibit
multistationarity for a given network -- in order to check nondegeneracy or
determine stability of the steady states, for instance -- is nontrivial.
Nonetheless, we accomplish this task for a certain family of sequestration
networks. Additionally, our results allow us to prove the existence of
nondegenerate steady states for some of these sequestration networks, thereby
resolving a subcase of a conjecture of Joshi and Shiu. Our work relies on the
determinant optimization method, developed by Craciun and Feinberg, for
asserting that certain networks are multistationary. More precisely, we
implement the construction of reaction rates and multiple steady states which
appears in the proofs that underlie their method. Furthermore, we describe in
detail the steps of this construction so that other researchers can more easily
obtain, as we did, multistationary rates and steady states.

14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an