Lower bounds for positive roots and regions of multistationarity in chemical reaction networks

Given a real sparse polynomial system, we present a general framework to find explicit coefficients for which the system has more than one positive solution. Our approach is based on the recent article by Bihan, Santos, and Spaenlehauer (2018). We apply this method to find explicit reaction rate con...

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Bibliographic Details
Published inJournal of algebra Vol. 542; pp. 367 - 411
Main Authors Bihan, Frédéric, Dickenstein, Alicia, Giaroli, Magalí
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.01.2020
Elsevier
Subjects
Chemical reaction networks
Mathematics
Multistationarity
Positive solutions
Sparse polynomial system
Positive solutions
Sparse polynomial system
Multistationarity
Chemical reaction networks
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Summary:Given a real sparse polynomial system, we present a general framework to find explicit coefficients for which the system has more than one positive solution. Our approach is based on the recent article by Bihan, Santos, and Spaenlehauer (2018). We apply this method to find explicit reaction rate constants and total conservation constants in biochemical reaction networks for which the associated dynamical system is multistationary.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2019.10.002