Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Siphons in chemical reaction networks   Siphons in a chemical reaction system are subsets of the species that have
the potential of being absent in a steady state. We present a characterization
of minimal siphons in terms of primary decomposition of binomial ideals, we
explore the underlying geometry, and we demonstrate the effective computation
of siphons using computer algebra software. This leads to a new method for
determining whether given initial concentrations allow for various boundary
steady states.

27
The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an