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.

OriginalsprogEngelsk
Artikelnummer108295
TidsskriftMathematical Biosciences
Vol/bind320
Antal sider8
ISSN0025-5564
DOI
StatusUdgivet - 2020

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Copyright © 2019 Elsevier Inc. All rights reserved.

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