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We consider the problem of binomiality of the steady state ideals ofbiochemical reaction networks. We are interested in finding polynomialconditions on the parameters such that the steady state ideal of a chemicalreaction network is binomial under every specialisation of the parameters ifthe conditions on the parameters hold. We approach the binomiality problemusing Comprehensive Gr\"obner systems. Considering rate constants asparameters, we compute comprehensive Gr\"obner systems for various reactions.In particular, we make automatic computations on n-site phosphorylations andbiomodels from the Biomodels repository using the grobcov library of thecomputer algebra system Singular.

Testing Binomiality of Chemical Reaction Networks Using Comprehensive Gr\"obner Systems