Wegscheider's conditions: To ensure that the system reaches thermodynamic equilibrium (detailed balance), when there is no chemical potential gradient between fuel and waste species (µ F -µ W = 0), the rate constants must satisfy Wegscheider's conditions. These are equivalent to the constraints on the rate constants imposed in previous kinetic analyses and dictate that the product of the forward rate constants along each independent cyclic pathway of reactions in the network, with neither net consumption nor net production of fuel or waste species, must equal the product of the corresponding backward rate constants: