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

Gorin, G.; Pachter, L.

doi:10.1101/2021.01.20.427480

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bioRxiv · 10.1101/2021.01.20.427480

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

Gorin, G.·Pachter, L.

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Abstract

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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Gorin, G., Pachter, L.. 2021-01-21. Direct simulation of a stochastically driven multi-step birth-death process. https://doi.org/10.1101/2021.01.20.427480

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