Kenneth ChengMathematical modeling

Editorial project overview

Stochastic Genetic-Toggle Switching

How does finite molecular copy number turn deterministic bistability into a memory with a measurable switching lifetime?

Reproducible studyUpdated 30 Jul 2026
Technical figure from Stochastic Genetic-Toggle Switching
A reviewed research figure synchronized from the private technical workspace. The original aspect ratio and labels are preserved.

Editorial overview

Read How Noise Flips a Genetic Switch for the deterministic geometry, exact-event stochastic model, first-passage results, stationary distribution, pulse-control experiment, and five approved figures.

The public interpretation does not expose the private notebook, replicate tables, code, or raw animation frames.

Key findings

  • The deterministic circuit has three equilibria, two stable, but finite-copy-number trajectories can cross the basin boundary.
  • Mean first-passage time increased from 11.99 at system size 3 to 99.64 at system size 18 in the configured Monte Carlo study.

Limitations

  • The circuit is not calibrated to a named organism, promoter, or plasmid.
  • Explicit mRNA, bursting, division, delay, extrinsic noise, and growth feedback are omitted.

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.