10 citations · 23 across the 9 of their papers we have counts for
9 papers
A Computational Approach to Polynomial Conservation Laws
Aurélien Desoeuvres, Alexandru Iosif, Christoph Lüders +4
For polynomial ODE models, we introduce and discuss the concepts of exact and approximate conservation laws, which are the first integrals of the full and truncated sets of ODEs. F…
Reduction of Chemical Reaction Networks with Approximate Conservation Laws
Aurélien Desoeuvres, Alexandru Iosif, Christoph Lüders +4
Model reduction of fast-slow chemical reaction networks based on the quasi-steady state approximation fails when the fast subsystem has first integrals. We call these first integra…
Testing Binomiality of Chemical Reaction Networks Using Comprehensive Gröbner Systems
Hamid Rahkooy, Thomas Sturm
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 t…
Parametric Toricity of Steady State Varieties of Reaction Networks
Hamid Rahkooy, Thomas Sturm
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 s…
A Graph Theoretical Approach for Testing Binomiality of Reversible Chemical Reaction Networks
Hamid Rahkooy, Cristian Vargas Montero
We study binomiality of the steady state ideals of chemical reaction networks. Considering rate constants as indeterminates, the concept of unconditional binomiality has been intro…
First-Order Tests for Toricity
Hamid Rahkooy, Thomas Sturm
Motivated by problems arising with the symbolic analysis of steady state ideals in Chemical Reaction Network Theory, we consider the problem of testing whether the points in a comp…
A Linear Algebra Approach for Detecting Binomiality of Steady State Ideals of Reversible Chemical Reaction Networks
Hamid Rahkooy, Ovidiu Radulescu, Thomas Sturm
Motivated by problems from Chemical Reaction Network Theory, we investigate whether steady state ideals of reversible reaction networks are generated by binomials. We take an algeb…
Analysis of the Conradi-Kahle Algorithm for Detecting Binomiality on Biological Models
Alexandru Iosif, Hamid Rahkooy
We analyze the Conradi-Kahle Algorithm for detecting binomiality. We present experiments using two implementations of the algorithm in Macaulay2 and Maple on biological models and…
Efficiently and Effectively Recognizing Toricity of Steady State Varieties
Dima Grigoriev, Alexandru Iosif, Hamid Rahkooy +2
We consider the problem of testing whether the points in a complex or real variety with non-zero coordinates form a multiplicative group or, more generally, a coset of a multiplica…