Algebraic identifiability of partial differential equation models

no code implementations • 6 Feb 2024 • Helen Byrne, Heather Harrington, Alexey Ovchinnikov, Gleb Pogudin, Hamid Rahkooy, Pedro Soto

This problem has been intensively studied for ordinary differential equation models, with theory and several efficient algorithms and software packages developed.

Testing Binomiality of Chemical Reaction Networks Using Comprehensive Gröbner Systems

no code implementations • 4 Jul 2021 • Hamid Rahkooy, Thomas Sturm

We consider the problem of binomiality of the steady state ideals of biochemical reaction networks.

Parametric Toricity of Steady State Varieties of Reaction Networks

no code implementations • 23 May 2021 • Hamid Rahkooy, Thomas Sturm

While toricity requires that the variety specifies a subgroup of the direct power of the multiplicative group of the underlying field, shifted toricity requires only a coset.

Efficiently and Effectively Recognizing Toricity of Steady State Varieties

no code implementations • 9 Oct 2019 • Dima Grigoriev, Alexandru Iosif, Hamid Rahkooy, Thomas Sturm, Andreas Weber

We present algorithms and computations on 129 models from the BioModels repository testing for group and coset structures over both the complex numbers and the real numbers.