77 citations · 128 across the 12 of their papers we have counts for
7 papers · 1 filter
Decomposable and essentially univariate mass-action systems: Extensions of the deficiency one theorem
Abhishek Deshpande, Stefan Müller
The classical and extended deficiency one theorems by Feinberg apply to reaction networks with mass-action kinetics that have independent linkage classes or subnetworks, each with…
Sufficient conditions for linear stability of complex-balanced equilibria in generalized mass-action systems
Stefan Müller, Georg Regensburger
Generalized mass-action systems are power-law dynamical systems arising from chemical reaction networks. Essentially, every nonnegative ODE model used in chemistry and biology (for…
Complex-balanced equilibria of generalized mass-action systems: Necessary conditions for linear stability
Balazs Boros, Stefan Müller, Georg Regensburger
It is well known that, for mass-action systems, complex-balanced equilibria are asymptotically stable. For generalized mass-action systems, even if there exists a unique complex-ba…
The center problem for the Lotka reactions with generalized mass-action kinetics
Balázs Boros, Josef Hofbauer, Georg Regensburger +1
Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions and the resulting planar…
On global stability of the Lotka reactions with generalized mass-action kinetics
Balázs Boros, Josef Hofbauer, Stefan Müller
Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions with two chemical species…
Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents
Stefan Müller, Georg Regensburger
Dynamical systems arising from chemical reaction networks with mass action kinetics are the subject of chemical reaction network theory (CRNT). In particular, this theory provides…
Generalized mass action systems: Complex balancing equilibria and sign vectors of the stoichiometric and kinetic-order subspaces
Stefan Müller, Georg Regensburger
Mass action systems capture chemical reaction networks in homogeneous and dilute solutions. We suggest a notion of generalized mass action systems that admits arbitrary nonnegative…