Reduction of Chemical Reaction Networks with Approximate Conservation Laws
DOI10.1137/22m1543963arXiv2212.13474WikidataQ129728641 ScholiaQ129728641MaRDI QIDQ6144492
Thomas Sturm, Alexandru Iosif, Ovidiu Radulescu, Matthias Seiß, Aurélien Desoeuvres, Christoph Lüders, Hamid Rahkooy
Publication date: 29 January 2024
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.13474
singular perturbationstropical geometrymodel order reductionchemical reaction networksmultiple timescales
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric singular perturbation theory for ordinary differential equations
- Normally hyperbolic invariant manifolds in dynamical systems
- Model reduction by extended quasi-steady-state approximation
- Foundations of chemical reaction network theory
- The Schur complement and its applications
- Corrections and enhancements of quasi-equilibrium states
- Approximate symmetries and conservation laws with applications
- Algorithmic reduction of biological networks with multiple time scales
- Perturbation of systems with a first integral: motion on the Reeb graph
- Tropical geometry of biological systems (invited talk)
- Qualitative dynamics of chemical reaction networks: an investigation using partial tropical equilibrations
- The quasi-steady-state approximations revisited: timescales, small parameters, singularities, and normal forms in enzyme kinetics
- Preclusion of switch behavior in networks with mass-action kinetics
- A graph-theoretical approach for the analysis and model reduction of complex-balanced chemical reaction networks
- Computing tropical varieties
- On systems of ordinary differential equations with several parameters multiplying the derivatives
- On ininital value problems for nonlinear systems of differential equations with two small parameters
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- Power-Law Kinetics and Determinant Criteria for the Preclusion of Multistationarity in Networks of Interacting Species
- Tropicalization and tropical equilibration of chemical reactions
- Non-archimedean amoebas and tropical varieties
- Model Reduction of Biochemical Reactions Networks by Tropical Analysis Methods
- Analysis of Reaction Network Systems Using Tropical Geometry
- Conservation Laws in Biochemical Reaction Networks
- The Quasi-Steady-State Assumption: A Case Study in Perturbation
- Fenichel Theory for Multiple Time Scale Singular Perturbation Problems
- Tropical Geometries and Dynamics of Biochemical Networks Application to Hybrid Cell Cycle Models
- A geometric method for model reduction of biochemical networks with polynomial rate functions
