1 Abstract
The description of transcription as a stochastic process provides a framework for the analysis of intrinsic and extrinsic noise in cells. To better understand the behaviors and possible extensions of existing models, we design an exact stochastic simulation algorithm for a multimolecular transcriptional system with an Ornstein-Uhlenbeck birth rate that is implemented via a special function-based time-stepping algorithm. We demonstrate that its joint copy-number distributions reduce to analytically well-studied cases in several limiting regimes, and suggest avenues for generalizations.
Competing Interest Statement
The authors have declared no competing interest.
Footnotes
Edited typo in Section 5.1.3 (lambda/kappa limiting behavior). Added hyperlink to code to reproduce Fig. 3 using Jupyter with Octave backend.
