PT  - JOURNAL ARTICLE
AU  - Gennady Gorin
AU  - Lior Pachter
TI  - Direct simulation of a stochastically driven multi-step birth-death process
AID  - 10.1101/2021.01.20.427480
DP  - 2021 Jan 01
TA  - bioRxiv
PG  - 2021.01.20.427480
4099  - http://biorxiv.org/content/early/2021/03/03/2021.01.20.427480.short
4100  - http://biorxiv.org/content/early/2021/03/03/2021.01.20.427480.full
AB  - 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 StatementThe authors have declared no competing interest.