The kinetic space of multistationarity in dual phosphorylation

DOI10.1007/s10884-020-09889-6zbMath1496.92028arXiv2001.08285OpenAlexW3083505422WikidataQ115383380 ScholiaQ115383380MaRDI QIDQ2134118

Nidhi Kaihnsa, Timo de Wolff, Elisenda Feliu, Oğuzhan Yürük

Publication date: 6 May 2022

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08285

zbMATH Keywords

connectednessNewton polytopesemialgebraic setcylindrical algebraic decompositionsymbolic algorithmmultistationarityphosphorylationenzyme reactioncircuit polynomialmonostationaritymass action reaction networkpost-translational modification (PTM)

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) Nonlinear ordinary differential equations and systems (34A34) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Cell biology (92C37) Semialgebraic sets and related spaces (14P10) Systems biology, networks (92C42)

Related Items (9)

Algebraic Perspectives on Signomial Optimization ⋮ Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations ⋮ Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks ⋮ Parameter Region for Multistationarity in \({\boldsymbol{n-}}\)Site Phosphorylation Networks ⋮ Nonlinear algebra and applications ⋮ The Disguised Toric Locus and Affine Equivalence of Reaction Networks ⋮ Real tropicalization and negative faces of the Newton polytope ⋮ Unnamed Item ⋮ Symbolic Proof of Bistability in Reaction Networks

Uses Software

• CoNtRol
• crntwin
• MESSI

Cites Work

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