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

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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Veröffentlicht in:Journal of algebra 2020-01, Vol.542, p.367-411
Hauptverfasser: Bihan, Frédéric, Dickenstein, Alicia, Giaroli, Magalí
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Sprache:eng
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Chemical reaction networks
Mathematics
Multistationarity
Positive solutions
Sparse polynomial system
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container_title Journal of algebra
container_volume 542
creator Bihan, Frédéric
Dickenstein, Alicia
Giaroli, Magalí
description 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.
doi_str_mv 10.1016/j.jalgebra.2019.10.002
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source Elsevier ScienceDirect Journals; EZB-FREE-00999 freely available EZB journals
subjects Chemical reaction networks
Mathematics
Multistationarity
Positive solutions
Sparse polynomial system
title Lower bounds for positive roots and regions of multistationarity in chemical reaction networks
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