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- W3209128045 abstract "Abstract Synthesis of gene products in bursts of multiple molecular copies is an important source of gene expression variability. This paper studies large deviations in a Markovian drift-jump process that combines exponentially distributed bursts with deterministic degradation. Large deviations occur as a cumulative effect of many bursts (as in diffusion) or, if the model includes negative feedback in burst size, in a single big jump. The latter possibility requires a modification in the WKB solution in the tail region. The main result of the paper is the construction, via a modified WKB scheme, of matched asymptotic approximations to the stationary distribution of the drift-jump process. The stationary distribution possesses a heavier tail than predicted by a routine application of the scheme." @default.
- W3209128045 created "2021-11-08" @default.
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- W3209128045 date "2021-11-01" @default.
- W3209128045 modified "2023-10-02" @default.
- W3209128045 title "Heavy-tailed distributions in a stochastic gene autoregulation model" @default.
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- W3209128045 doi "https://doi.org/10.1088/1742-5468/ac2edb" @default.
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