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math.PR2026
Quantitative ergodicity for gene regulatory networks with transcriptional bursting
Mathilde Gaillard, Ulysse Herbach
We study the long-term behavior of two piecewise-deterministic Markov processes used to model stochastic gene regulatory networks with bursting dynamics. Under regularity assumptio…
math.PR2018★ 32 cited
Stochastic gene expression with a multistate promoter: breaking down exact distributions
Ulysse Herbach
We consider a stochastic model of gene expression in which transcription depends on a multistate promoter, including the famous two-state model and refractory promoters as special…