Multiplicity criteria for multireaction networks



A general method is developed for a systematic determination of criteria predicting steady-state multiplicity in lumped-parameter systems in which many irreversible reactions occur simultaneously. The method enables use of criteria derived for simple reaction networks to predict the behavior of more complex networks. The available multiplicity criteria for the single- and two-reaction networks can always be used to write down sufficient multiplicity criteria for any multireaction system. Several examples illustrate the power of the proposed technique.