Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditions for Extinction Events in Chemical Reaction Networks with
  Discrete State Spaces   We study chemical reaction networks with discrete state spaces, such as the
standard continuous time Markov chain model, and present sufficient conditions
on the structure of the network that guarantee the system exhibits an
extinction event. The conditions we derive involve creating a modified chemical
reaction network called a domination-expanded reaction network and then
checking properties of this network. We apply the results to several networks
including an EnvZ-OmpR signaling pathway in Escherichia coli. This analysis
produces a system of equalities and inequalities which, in contrast to previous
results on extinction events, allows algorithmic implementation. Such an
implementation will be investigated in a companion paper where the results are
applied to 458 models from the European Bioinformatics Institute's BioModels
database.

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The categories of this paper are: chem-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org