Computing weakly reversible deficiency zero network translations using elementary flux modes
From MaRDI portal
Publication:2417529
DOI10.1007/s11538-019-00579-zzbMath1415.92085arXiv1808.09059OpenAlexW2963563923WikidataQ91797270 ScholiaQ91797270MaRDI QIDQ2417529
Matthew D. Johnston, Evan Burton
Publication date: 12 June 2019
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.09059
Integer programming (90C10) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Systems biology, networks (92C42)
Related Items (7)
A network-based parametrization of positive steady states of power-law kinetic systems ⋮ Computational Translation Framework Identifies Biochemical Reaction Networks with Special Topologies and Their Long-Term Dynamics ⋮ Comparative analysis of kinetic realizations of insulin signaling ⋮ Squeezing stationary distributions of stochastic chemical reaction systems ⋮ Single-target networks ⋮ On the Bijectivity of Families of Exponential/Generalized Polynomial Maps ⋮ Analysis of mass-action systems by split network translation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Chemical reaction systems with toric steady states
- Translated chemical reaction networks
- How far is complex balancing from detailed balancing?
- Toric dynamical systems
- A computational approach to steady state correspondence of regular and generalized mass action systems
- The existence and uniqueness of steady states for a class of chemical reaction networks
- Multiple steady states for chemical reaction networks of deficiency one
- Network translation and steady-state properties of chemical reaction systems
- A global convergence result for processive multisite phosphorylation systems
- A Petri net approach to the study of persistence in chemical reaction networks
- Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents (Invited Talk)
- Integer Programming with a Fixed Number of Variables
- The Structure of MESSI Biological Systems
- Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces
- Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry
This page was built for publication: Computing weakly reversible deficiency zero network translations using elementary flux modes