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  Testing Binomiality of Chemical Reaction Networks Using Comprehensive Gröbner Systems

Rahkooy, H., & Sturm, T. (2021). Testing Binomiality of Chemical Reaction Networks Using Comprehensive Gröbner Systems. Retrieved from https://arxiv.org/abs/2107.01706.

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arXiv:2107.01706.pdf (Preprint), 255KB
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 Creators:
Rahkooy, Hamid1, Author           
Sturm, Thomas1, Author                 
Affiliations:
1Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              

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Free keywords: Quantitative Biology, Molecular Networks, q-bio.MN,Computer Science, Symbolic Computation, cs.SC
 Abstract: We consider the problem of binomiality of the steady state ideals of
biochemical reaction networks. We are interested in finding polynomial
conditions on the parameters such that the steady state ideal of a chemical
reaction network is binomial under every specialisation of the parameters if
the conditions on the parameters hold. We approach the binomiality problem
using Comprehensive Gr\"obner systems. Considering rate constants as
parameters, we compute comprehensive Gr\"obner systems for various reactions.
In particular, we make automatic computations on n-site phosphorylations and
biomodels from the Biomodels repository using the grobcov library of the
computer algebra system Singular.

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Language(s): eng - English
 Dates: 2021-07-042021-07-072021
 Publication Status: Published online
 Pages: 19 p.
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2107.01706
BibTex Citekey: Rahkooy_arXiv2107.01706
URI: https://arxiv.org/abs/2107.01706
 Degree: -

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