Parametric Toricity of Steady State Varieties of Reaction Networks

H Rahkooy, T Sturm - International Workshop on Computer Algebra in …, 2021 - Springer
We study real steady state varieties of the dynamics of chemical reaction networks. The
dynamics are derived using mass action kinetics with parametric reaction rates. The models …

Binomiality testing and computing sparse polynomials via witness sets

JD Hauenstein, L Matusevich, C Peterson… - Vietnam Journal of …, 2022 - Springer
Sparse polynomials that vanish on algebraic sets are preferred in many computations since
they are easy to evaluate and often arise from underlying structure. For example, a …

Testing Binomiality of Chemical Reaction Networks Using Comprehensive Gröbner Systems

H Rahkooy, T Sturm - International Workshop on Computer Algebra in …, 2021 - Springer
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 …

[PDF][PDF] Computing the Binomial Part of Polynomial Ideals

F Walsh - 2024 - opus4.kobv.de
Computing the Binomial Part of Polynomial Ideals Page 1 Computing the Binomial Part of
Polynomial Ideals Florian Walsh Dissertation eingereicht an der Fakultät für Informatik und …

A graph theoretical approach for testing binomiality of reversible chemical reaction networks

H Rahkooy, CV Montero - 2020 22nd International Symposium …, 2020 - ieeexplore.ieee.org
We study binomiality of the steady state ideals of chemical reaction networks. Considering
rate constants as indeterminates, the concept of unconditional binomiality has been …