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Direct simulation of a stochastically driven multi-step birth-death process

Gorin, G.; Pachter, L.

2021-01-21 biophysics
10.1101/2021.01.20.427480 bioRxiv
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1The 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.

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