Title: A Computational Approach to Extinction Events in Chemical Reaction Networks with Discrete State Spaces,
Abstract: Recent work of M.D. Johnston et al. has produced sufficient conditions on the
structure of a chemical reaction network which guarantee that the corresponding
discrete state space system exhibits an extinction event. The conditions
consist of a series of systems of equalities and inequalities on the edges of a
modified reaction network called a domination-expanded reaction network. In
this paper, we present a computational implementation of these conditions
written in Python and apply the program on examples drawn from the biochemical
literature, including a model of polyamine metabolism in mammals and a model of
the pentose phosphate pathway in Trypanosoma brucei. We also run the program on
458 models from the European Bioinformatics Institute's BioModels Database and
report our results.