Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry
Published 2015 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry
Authors
Keywords
Sign vector, Restricted injectivity, Power-law kinetics, Descartes’ rule of signs, Oriented matroid, 13P15, 12D10, 70K42, 37C10, 80A30, 52C40
Journal
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
Volume 16, Issue 1, Pages 69-97
Publisher
Springer Nature
Online
2015-01-06
DOI
10.1007/s10208-014-9239-3
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- A computational method to preclude multistationarity in networks of interacting species
- (2013) Elisenda Feliu et al. BIOINFORMATICS
- Multistationarity in Sequential Distributed Multisite Phosphorylation Networks
- (2013) Katharina Holstein et al. BULLETIN OF MATHEMATICAL BIOLOGY
- Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements
- (2013) Murad Banaji et al. Communications in Mathematical Sciences
- Power-Law Kinetics and Determinant Criteria for the Preclusion of Multistationarity in Networks of Interacting Species
- (2013) Carsten Wiuf et al. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
- Preclusion of switch behavior in networks with mass-action kinetics
- (2012) Elisenda Feliu et al. APPLIED MATHEMATICS AND COMPUTATION
- Global injectivity and multiple equilibria in uni- and bi-molecular reaction networks
- (2012) Casian Pantea et al. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
- A Jacobian criterion for the simultaneous injectivity on positive variables of linearly parameterized polynomial maps
- (2012) Gilles Gnacadja LINEAR ALGEBRA AND ITS APPLICATIONS
- Concordant chemical reaction networks
- (2012) Guy Shinar et al. MATHEMATICAL BIOSCIENCES
- Concordant chemical reaction networks and the Species-Reaction Graph
- (2012) Guy Shinar et al. MATHEMATICAL BIOSCIENCES
- Certifying feasibility and objective value of linear programs
- (2012) Ernst Althaus et al. OPERATIONS RESEARCH LETTERS
- Switching in Mass Action Networks Based on Linear Inequalities
- (2012) Carsten Conradi et al. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
- Simplifying the Jacobian Criterion for Precluding Multistationarity in Chemical Reaction Networks
- (2012) Badal Joshi et al. SIAM JOURNAL ON APPLIED MATHEMATICS
- Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces
- (2012) Stefan Müller et al. SIAM JOURNAL ON APPLIED MATHEMATICS
- Chemical Reaction Systems with Toric Steady States
- (2011) Mercedes Pérez Millán et al. BULLETIN OF MATHEMATICAL BIOLOGY
- Multistationarity in mass action networks with applications to ERK activation
- (2011) Carsten Conradi et al. JOURNAL OF MATHEMATICAL BIOLOGY
- Tackling Multiplicity of Equilibria with Gröbner Bases
- (2010) Felix Kubler et al. OPERATIONS RESEARCH
- Multiple Equilibria in Complex Chemical Reaction Networks: Semiopen Mass Action Systems
- (2010) Gheorghe Craciun et al. SIAM JOURNAL ON APPLIED MATHEMATICS
- Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems
- (2009) Murad Banaji et al. ADVANCES IN APPLIED MATHEMATICS
- Sign patterns for chemical reaction networks
- (2009) J. William Helton et al. JOURNAL OF MATHEMATICAL CHEMISTRY
- Determinant Expansions of Signed Matrices and of Certain Jacobians
- (2009) J. William Helton et al. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
- Homotopy methods for counting reaction network equilibria
- (2008) Gheorghe Craciun et al. MATHEMATICAL BIOSCIENCES
- Multigraph Conditions for Multistability, Oscillations and Pattern Formation in Biochemical Reaction Networks
- (2008) M. Mincheva et al. PROCEEDINGS OF THE IEEE
- Multistationarity in the activation of a MAPK: Parametrizing the relevant region in parameter space
- (2007) Carsten Conradi et al. MATHEMATICAL BIOSCIENCES
Create your own webinar
Interested in hosting your own webinar? Check the schedule and propose your idea to the Peeref Content Team.
Create NowBecome a Peeref-certified reviewer
The Peeref Institute provides free reviewer training that teaches the core competencies of the academic peer review process.
Get Started