@online{Rahkooy_arXiv2107.01706,
TITLE = {Testing Binomiality of Chemical Reaction Networks Using Comprehensive Gr{\"o}bner Systems},
AUTHOR = {Rahkooy, Hamid and Sturm, Thomas},
LANGUAGE = {eng},
URL = {https://arxiv.org/abs/2107.01706},
EPRINT = {2107.01706},
EPRINTTYPE = {arXiv},
YEAR = {2021},
ABSTRACT = {We consider the problem of binomiality of the steady state ideals of<br>biochemical reaction networks. We are interested in finding polynomial<br>conditions on the parameters such that the steady state ideal of a chemical<br>reaction network is binomial under every specialisation of the parameters if<br>the conditions on the parameters hold. We approach the binomiality problem<br>using Comprehensive Gr\"obner systems. Considering rate constants as<br>parameters, we compute comprehensive Gr\"obner systems for various reactions.<br>In particular, we make automatic computations on n-site phosphorylations and<br>biomodels from the Biomodels repository using the grobcov library of the<br>computer algebra system Singular.<br>},
}