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DISCO - 2011

Section: New Results

Model of reaction networks

Participants : Georg Regensburger [correspondent] , Stefan Müller [RICAM, Linz] .

In a joint work, Stefan Müller and G. Regensburger propose a notion of generalized mass action systems that could serve as a more realistic model for reaction networks in intracellular environments; classical mass action systems capture chemical reaction networks in homogeneous and dilute solutions, see e.g. [111] and [114] . We show that several results of Chemical Reaction Network Theory carry over to the case of generalized mass action kinetics. Our main result essentially states that, if the sign vectors of the stoichiometric and the kinetic-order subspace coincide, there exists a unique positive complex balancing equilibrium in every stoichiometric compatibility class.