Kenneth ChengMathematical modeling

Editorial project overview

Michaelis-Menten QSSA Validity Atlas

For which parameter regimes, outputs, and time horizons is the Michaelis-Menten QSSA an accurate replacement for full mass-action kinetics?

Reproducible studyUpdated 30 Jul 2026
Technical figure from Michaelis-Menten QSSA Validity Atlas
A reviewed research figure synchronized from the private technical workspace. The original aspect ratio and labels are preserved.

Editorial overview

Read When Michaelis-Menten Stops Being Valid for the full mass-action mechanism, nondimensionalisation, 243-case validity atlas, event-time diagnostics, slow-manifold geometry, and five approved figures.

The public article reports reviewed conclusions without exposing the private atlas table, notebook, code, or raw trajectories.

Key findings

  • Across 243 cases, maximum product error ranged from 0.000540 to 0.266198.
  • The worst tested case used epsilon 0.6 and sigma 0.05; timing and trajectory accuracy did not share one universal boundary.

Limitations

  • The atlas is synthetic and does not estimate kinetic constants for a named enzyme.
  • Product inhibition, cooperative binding, diffusion, inactivation, and stochastic copy-number effects are outside scope.

Technical record

Detailed source, calculations, generated figures, and reproduction instructions are maintained in a private technical workspace. Public articles contain only manually reviewed interpretation and approved figures.

Version history

2026-07-30 — Curated overview reviewed against repository evidence.