General mass action kinetics

1972/01/01 by F. Horn, R. Jackson · 74 citations
Physics and Astronomy · Engineering · Chemistry · #Advanced Thermodynamics and Statistical Mechanics #Control and Stability of Dynamical Systems #thermodynamics and calorimetric analyses

paper · doi:10.1007/bf00251225

Cited by

• Why life is hot
• Topological invariants of some chemical reaction networks
• Single-Target Networks
• Generalized Mass-Action Systems and Positive Solutions of Polynomial\n Equations with Real and Symbolic Exponents
• Robust Lyapunov Functions for Reaction Networks: An Uncertain System Framework
• Product-form stationary distributions for deficiency zero chemical\n reaction networks
• Counting chemical reaction networks with NAUTY
• Stochastic Reaction Networks Within Interacting Compartments with Content-Dependent Fragmentation
• Asymptotic behavior for a general class of spreading models
• Reduction of chemical systems by delayed quasi-steady state assumptions
• Convex Geometry and Stoichiometry
• Attainable Regions of Dynamical Systems
• Toric Differential Inclusions and a Proof of the Global Attractor\n Conjecture
• Monotone and near-monotone network structure (part I)
• The Long-Term Impact of Direct Capture Approaches to Carbon Dioxide Removal
• Persistence of Delayed Complex Balanced Chemical Reaction Networks
• A flux-based approach for analyzing the disguised toric locus of reaction networks
• Robust Stochastic Chemical Reaction Networks and Bounded Tau-Leaping
• Classification and threshold dynamics of stochastic reaction networks
• The determinant of the second additive compound of a square matrix: a formula and applications
• A computational approach to persistence, permanence, and endotacticity\n of biochemical reaction systems
• A network dynamics approach to chemical reaction networks
• On the Mathematical Structure of Balanced Chemical Reaction Networks\n Governed by Mass Action Kinetics
• Chemical reaction network decompositions and realizations of S-systems
• Power-law Kinetics and Determinant Criteria for the Preclusion of\n Multistationarity in Networks of Interacting Species
• Instability of boundary equilibrium for Reaction-Diffusion system of a complex-balanced reaction network
• Semistability of complex balanced kinetic systems with arbitrary time\n delays
• A graphic formulation of non-isothermal chemical reaction systems and the analysis of detailed balanced networks
• Log-Linear Reaction Quotient Dynamics
• Local and global stability of equilibria for a class of chemical\n reaction networks
• Reinforcement Learning based Distributed Control of Dissipative Networked Systems
• On the persistence and global stability of mass-action systems
• Molecular Computing for Markov Chains
• Learning Large Scale Ordinary Differential Equation Systems
• Absolute concentration robustness in power law kinetic systems
• Homotopy methods for counting reaction network equilibria
• Biochemical Coupling Through Emergent Conservation Laws
• Hamilton-Jacobi-Bellman equations for Chemical Reaction Networks
• Independent, Incidence Independent and Weakly Reversible Decompositions of Chemical Reaction Networks
• A note on "MAPK networks and their capacity for multistationarity due to toric steady states"
• How far is complex balancing from detailed balancing?
• Gramian-Based Model Reduction of Directed Networks
• Computing and Bounding Equilibrium Concentrations in Athermic Chemical Systems
• Detailed balance in micro- and macrokinetics and micro-distinguishability of macro-processes
• Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation
• Chemical reaction systems with toric steady states
• Stability of randomly switching stochastic reaction networks with asymptotically linear transition rates
• Mathematics of the NFAT signalling pathway
• Thermodynamic ranking of pathways in reaction networks
• Integrated analysis of metabolic phenotypes in Saccharomyces cerevisiae. [europepmc]
• Set-base dynamical parameter estimation and model invalidation for biochemical reaction networks. [europepmc]
• Enzyme-sharing as a cause of multi-stationarity in signalling systems. [europepmc]
• Reverse engineering and identification in systems biology: strategies, perspectives and challenges. [europepmc]
• Stochastic analysis of biochemical reaction networks with absolute concentration robustness. [europepmc]
• Modeling and validation of autoinducer-mediated bacterial gene expression in microfluidic environments. [europepmc]
• Finding the positive feedback loops underlying multi-stationarity. [europepmc]
• Mathematical Modeling and Dynamic Simulation of Metabolic Reaction Systems Using Metabolome Time Series Data. [europepmc]
• Customized Steady-State Constraints for Parameter Estimation in Non-Linear Ordinary Differential Equation Models. [europepmc]
• Identification of Conserved Moieties in Metabolic Networks by Graph Theoretical Analysis of Atom Transition Networks. [europepmc]
• Chemical Reaction Network Theory elucidates sources of multistability in interferon signaling. [europepmc]
• Discovery of High-Affinity PDGF-VEGFR Interactions: Redefining RTK Dynamics. [europepmc]
• Stoichiometric Correlation Analysis: Principles of Metabolic Functionality from Metabolomics Data. [europepmc]
• Network Analyses in Plant Pathogens. [europepmc]
• Heparan Sulfate Induces Necroptosis in Murine Cardiomyocytes: A Medical- In silico Approach Combining In vitro Experiments and Machine Learning. [europepmc]
• A Deficiency-Based Approach to Parametrizing Positive Equilibria of Biochemical Reaction Systems. [europepmc]
• Automated sequence-level analysis of kinetics and thermodynamics for domain-level DNA strand-displacement systems. [europepmc]
• Thermodynamic efficiency in dissipative chemistry. [europepmc]
• Inferring reaction network structure from single-cell, multiplex data, using toric systems theory. [europepmc]
• Highly coupled transport can be achieved in free-exchange transport models. [europepmc]
• A computational framework for a Lyapunov-enabled analysis of biochemical reaction networks. [europepmc]
• A cyanobacterial photorespiratory bypass model to enhance photosynthesis by rerouting photorespiratory pathway in C 3 plants. [europepmc]
• Derivation of stationary distributions of biochemical reaction networks via structure transformation. [europepmc]
• A numerical approach for detecting switch-like bistability in mass action chemical reaction networks with conservation laws. [europepmc]
• What makes a reaction network "chemical"? [europepmc]