77 citations · 337 across the 28 of their papers we have counts for
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Disguised complex balance via positive algebraic geometry
Stefan Müller, Abhishek Deshpande, Georg Regensburger
We study dynamical systems arising from reaction networks under mass-action kinetics. For certain choices of the rate constants (parameters), such systems are complex-balanced (ver…
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…
Planar S-systems: Global stability and the center problem
Balázs Boros, Josef Hofbauer, Stefan Müller +1
S-systems are simple examples of power-law dynamical systems (polynomial systems with real exponents). For planar S-systems, we study global stability of the unique positive equili…
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…
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…