Some consequences of thermodynamic feasibility for the multistability and injectivity in chemical reaction networks

The result of this paper is the elucidation of the consequences for the chemical reaction network theory under the assumption of feasibility with respect to thermodynamic constraints. Thermodynamic feasible reaction networks limit the amount of "allowed" reaction patterns to the set of loopless reaction fluxes. Combined with the chemical reaction network theory (CRN) reversible and weakly reversible CRN's are injective. Furthermore, injectivity is reduced to the injectivity of the stoichiometric space into the reactant space. We will therefore assume that all reactions are reversible unless we explicitely mention where we can neglect full reversibility.