Addition of flow reactions preserving multistationarity and bistability

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We consider the question whether a chemical reaction network preserves the number and stability of its positive steady states upon inclusion of inflow and outflow reactions. Often a model of a reaction network is presented without inflows and outflows, while in fact some of the species might be degraded or leaked to the environment, or be synthesized or transported into the system. We provide a sufficient and easy-to-check criterion based on the stoichiometry of the reaction network alone and discuss examples from systems biology.

Original languageEnglish
Article number108295
JournalMathematical Biosciences
Volume320
Number of pages8
ISSN0025-5564
DOIs
Publication statusPublished - 2020

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