The Quasi-Steady-State Assumption: A Case Study in Perturbation

• The Michaelis–Menten Reaction at Low Substrate Concentrations: Pseudo-First-Order Kinetics and Conditions for Timescale Separation

  2024 Bulletin of Mathematical Biology article Mathematics Mathematical and Computational Methods Open access

  8

  citations
• The unreasonable effectiveness of the total quasi-steady state approximation, and its limitations

  2024 Journal of Theoretical Biology article Medicine Mathematical and Theoretical Epidemiology and Ecology Models

  8

  citations
• Rigorous estimates for the quasi-steady state approximation of the Michaelis–Menten reaction mechanism at low enzyme concentrations

  2024 Nonlinear Analysis Real World Applications article Mathematics Advanced Differential Equations and Dynamical Systems

  3

  citations
• The unreasonable effectiveness of the total quasi-steady state approximation, and its limitations

  2023 bioRxiv (Cold Spring Harbor Laboratory) preprint Biochemistry, Genetics and Molecular Biology Gene Regulatory Network Analysis Open access

  1

  citations
• Natural Parameter Conditions for Singular Perturbations of Chemical and Biochemical Reaction Networks

  2023 Bulletin of Mathematical Biology article Mathematics Differential Equations and Numerical Methods

  4

  citations
• Critical Parameters for Singular Perturbation Reductions of Chemical Reaction Networks

  2022 Journal of Nonlinear Science article Mathematics Differential Equations and Numerical Methods Open access

  1

  citations
• On the anti-quasi-steady-state conditions of enzyme kinetics

  2022 Mathematical Biosciences article Biochemistry, Genetics and Molecular Biology Gene Regulatory Network Analysis Open access

  16

  citations
• Quasi-Steady-State and Singular Perturbation Reduction for Reaction Networks with Noninteracting Species

  2022 SIAM Journal on Applied Dynamical Systems article Mathematics Differential Equations and Numerical Methods Open access

  8

  citations
• Impact of enzyme turnover on the dynamics of the Michaelis–Menten model

  2022 Mathematical Biosciences article Pharmacology, Toxicology and Pharmaceutics Pharmacogenetics and Drug Metabolism Open access

  11

  citations
• Algorithmic Reduction of Biological Networks with Multiple Time Scales

  2021 Mathematics in Computer Science article Biochemistry, Genetics and Molecular Biology Gene Regulatory Network Analysis Open access

  9

  citations
• On the quasi-steady-state approximation in an open Michaelis--Menten reaction mechanism

  2021 arXiv (Cornell University) preprint Mathematics Differential Equations and Numerical Methods Open access

  18

  citations
• On the quasi-steady-state approximation in an open Michaelis–Menten reaction mechanism

  2021 AIMS Mathematics article Mathematics Differential Equations and Numerical Methods Open access

  1

  citations

12 results