no code implementations • 22 Jan 2022 • Christoph Lüders, Thomas Sturm, Ovidiu Radulescu
Recently, symbolic computation and computer algebra systems have been successfully applied in systems biology, especially in chemical reaction network theory.
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.
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.
no code implementations • 20 Oct 2020 • Niclas Kruff, Christoph Lüders, Ovidiu Radulescu, Thomas Sturm, Sebastian Walcher
We present a symbolic algorithmic approach that allows to compute invariant manifolds and corresponding reduced systems for differential equations modeling biological networks which comprise chemical reaction networks for cellular biochemistry, and compartmental models for pharmacology, epidemiology and ecology.
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.