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Multiplicity criteria for multireaction networks
Author(s) -
Balakotaiah Vemuri,
Luss Dan
Publication year - 1983
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690290406
Subject(s) - multiplicity (mathematics) , computer science , mathematics , biochemical engineering , mathematical optimization , engineering , mathematical analysis
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.