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math.DS2020
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…
math.DS2018
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…