4 papers
What makes a reaction network "chemical"?
Stefan Müller, Christoph Flamm, Peter F. Stadler
Reaction networks (RNs) comprise a set of species and a set of reactions , each converting a multiset of educts into a multiset $Y'\subset…
Detailed balance = complex balance + cycle balance. A graph-theoretic proof for reaction networks and Markov chains
Stefan Müller, Badal Joshi
We further clarify the relation between detailed-balanced and complex-balanced equilibria of reversible chemical reaction networks. Our results hold for arbitrary kinetics and also…
A deficiency-based approach to parametrizing positive equilibria of biochemical reaction systems
Matthew D. Johnston, Stefan Müller, Casian Pantea
We present conditions which guarantee a parametrization of the set of positive equilibria of a generalized mass-action system. Our main results state that (i) if the underlying gen…
On the bijectivity of families of exponential/generalized polynomial maps
Stefan Müller, Josef Hofbauer, Georg Regensburger
We start from a parametrized system of generalized polynomial equations (with real exponents) for positive variables, involving generalized monomials with positive…