39 citations · 219 across the 22 of their papers we have counts for
4 papers · 1 filter
ODEbase: A Repository of ODE Systems for Systems Biology
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. One advantage of symb…
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…
Algorithmic Reduction of Biological Networks With Multiple Time Scales
Niclas Kruff, Christoph Lüders, Ovidiu Radulescu +2
We present a symbolic algorithmic approach that allows to compute invariant manifolds and corresponding reduced systems for differential equations modeling biological networks whic…
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…