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• W2806735107 abstract "We study a stochastic model of biosynthesis of proteins in generic bacterial operons. The stochasticity arises from two different processes, namely from ‘bursting’ production of either mRNA and/or protein (in the transcription/translation process) and from standard diffusive fluctuations. The amount of protein follows the Feller diffusion, while the bursting introduces random jumps between trajectories of the diffusion process. The combined effect leads to a process commonly known as a diffusion process with jumps. We study existence of invariant densities and the long time behavior of distributions of the corresponding Markov process, proving asymptotic stability in the evolution of the density." @default.
• W2806735107 created "2018-06-13" @default.
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• W2806735107 date "2019-02-01" @default.
• W2806735107 modified "2023-09-30" @default.
• W2806735107 title "The combined effects of Feller diffusion and transcriptional/translational bursting in simple gene networks" @default.
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• W2806735107 doi "https://doi.org/10.1016/j.jmaa.2018.10.042" @default.
• W2806735107 hasPublicationYear "2019" @default.
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