Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry
type: Item
instance of: scholarly article
title: Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry
zbMATH Open document ID: 1382.92272
author: Stefan Müller
author: Elisenda Feliu
author: Georg Regensburger
author: Carsten Conradi
author: Anne Shiu
author: Alicia Dickenstein
published in: Foundations of Computational Mathematics
publication date: 2016-03-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/1311.5493
full work available at URL: http://hdl.handle.net/11336/19362
Mathematics Subject Classification ID: 92E20
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 52C40
Mathematics Subject Classification ID: 80A30
zbMATH DE Number: 6549971
zbMATH Keywords: sign vector
zbMATH Keywords: restricted injectivity
zbMATH Keywords: power-law kinetics
zbMATH Keywords: Descartes' rule of signs
zbMATH Keywords: oriented matroid
describes a project that uses: QSopt_ex
describes a project that uses: TOPCOM
describes a project that uses: QSopt-Exact
describes a project that uses: SageMath
describes a project that uses: RAGlib
MaRDI profile type: Publication
OpenAlex ID: W2043653908
Wikidata QID: Q122417795
arXiv ID: 1311.5493
cites work: Certifying feasibility and objective value of linear programs
cites work: Exact solutions to linear programming problems
cites work: Cocircuit graphs and efficient orientation reconstruction in oriented matroids
cites work: Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements
cites work: Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems
cites work: PMatrix Properties, Injectivity, and Stability in Chemical Reaction Systems
cites work: Some results on injectivity and multistationarity in chemical reaction networks
cites work: Algorithms in real algebraic geometry
cites work: Descartes’ Rule of Signs for Polynomial Systems Supported on Circuits
cites work: Q5732183
cites work: Oriented Matroids
cites work: A tutorial on geometric programming
cites work: Q4858123
cites work: Q4717850
cites work: Multistationarity in mass action networks with applications to ERK activation
cites work: Switching in Mass Action Networks Based on Linear Inequalities
cites work: Multistationarity in the activation of a MAPK: parametrizing the relevant region in parameter space
cites work: Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property
cites work: Preclusion of switch behavior in networks with mass-action kinetics
cites work: Multiple Equilibria in Complex Chemical Reaction Networks: II. The Species-Reaction Graph
cites work: Multiple Equilibria in Complex Chemical Reaction Networks: Semiopen Mass Action Systems
cites work: Some Geometrical Aspects of Control Points for Toric Patches
cites work: Homotopy methods for counting reaction network equilibria
cites work: Multistationarity in sequential distributed multisite phosphorylation networks
cites work: The existence and uniqueness of steady states for a class of chemical reaction networks
cites work: Multiple steady states for chemical reaction networks of deficiency one
cites work: Logarithmically improved criteria for the 3D nematic liquid crystal flows in the Morrey-Campanato space
cites work: The Jacobian matrix and global univalence of mappings
cites work: Discriminants, resultants, and multidimensional determinants
cites work: Improving the accuracy of linear programming solvers with iterative refinement
cites work: A Jacobian criterion for the simultaneous injectivity on positive variables of linearly parameterized polynomial maps
cites work: Sign patterns for chemical reaction networks
cites work: Determinant Expansions of Signed Matrices and of Certain Jacobians
cites work: Multivariate Descartes' rule
cites work: Simplifying the Jacobian criterion for precluding multistationarity in chemical reaction networks
cites work: Polyhedral and algebraic methods in computational geometry
cites work: Q3999699
cites work: Signsolvability revisited
cites work: Tackling Multiplicity of Equilibria with Gröbner Bases
cites work: Q4326385
cites work: Chemical reaction systems with toric steady states
cites work: Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces
cites work: Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents (Invited Talk)
cites work: Mathematical biology. Vol. 1: An introduction.
cites work: Global injectivity and multiple equilibria in uni- and bi-molecular reaction networks
cites work: Q4790465

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (cites work)
cites work: Q4400996

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (cites work)
cites work: Existence and Uniqueness of Solutions for the Equations of Nonlinear DC Networks

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (cites work)
cites work: Recasting nonlinear differential equations as S-systems: a canonical nonlinear form

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (cites work)
cites work: Q3818127

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (cites work)
cites work: Concordant chemical reaction networks

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (cites work)
cites work: Concordant chemical reaction networks and the species-reaction graph

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (cites work)
cites work: The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (cites work)
cites work: Q3092735

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (cites work)
cites work: Q5605185

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (cites work)
cites work: Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (cites work)
cites work: Lectures on Polytopes

Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (DOI)
DOI: 10.1007/S10208-014-9239-3