The Disguised Toric Locus and Affine Equivalence of Reaction Networks
DOI10.1137/22m149853xzbMath1523.37047arXiv2205.06629OpenAlexW4382065266MaRDI QIDQ6171205
Matthew Satriano, Polly Y. Yu, Unnamed Author, Miruna-Ştefana Sorea
Publication date: 17 July 2023
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.06629
affine transformationmass-action kineticsreaction networkcomplex-balanceddetailed-balanceddisguised toric locus
Dynamical systems in biology (37N25) Dynamical systems involving maps of trees and graphs (37E25) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Systems biology, networks (92C42)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chemical reaction systems with toric steady states
- Translated chemical reaction networks
- Finding complex balanced and detailed balanced realizations of chemical reaction networks
- Linear conjugacy of chemical reaction networks
- Toric dynamical systems
- Identifiability of chemical reaction networks
- Foundations of chemical reaction network theory
- The rational parameterisation theorem for multisite post-translational modification systems
- Node balanced steady states: unifying and generalizing complex and detailed balanced steady states
- Complex-balanced equilibria of generalized mass-action systems: necessary conditions for linear stability
- Single-target networks
- The kinetic space of multistationarity in dual phosphorylation
- Disguised toric dynamical systems
- A deficiency-based approach to parametrizing positive equilibria of biochemical reaction systems
- Some Results on Injectivity and Multistationarity in Chemical Reaction Networks
- A Geometric Approach to the Global Attractor Conjecture
- On the Persistence and Global Stability of Mass-Action Systems
- A Proof of the Global Attractor Conjecture in the Single Linkage Class Case
- A Survey of Methods for Deciding Whether a Reaction Network is Multistationary
- Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
- Existence of Positive Steady States for Weakly Reversible Mass-Action Systems
- The Inheritance of Nondegenerate Multistationarity in Chemical Reaction Networks
- Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces
- Persistence and Permanence of Mass-Action and Power-Law Dynamical Systems
- Endotactic Networks and Toric Differential Inclusions
- Permanence of Weakly Reversible Mass-Action Systems with a Single Linkage Class
- An Efficient Characterization of Complex-Balanced, Detailed-Balanced, and Weakly Reversible Systems
- Which Small Reaction Networks Are Multistationary?
- Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property
- Multiple Equilibria in Complex Chemical Reaction Networks: II. The Species-Reaction Graph
- Polynomial Dynamical Systems, Reaction Networks, and Toric Differential Inclusions
This page was built for publication: The Disguised Toric Locus and Affine Equivalence of Reaction Networks
