58 citations · 395 across the 20 of their papers we have counts for
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The combined effects of Feller diffusion and transcriptional/translational bursting in simple gene networks
Mateusz Falfus, Michael C. Mackey, Marta Tyran-Kaminska
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 ei…
The Limiting Dynamics of a Bistable Molecular Switch With and Without Noise
Michael C. Mackey, Marta Tyran-Kaminska
We consider the dynamics of a population of organisms containing two mutually inhibitory gene regulatory networks, that can result in a bistable switch-like behaviour. We completel…
Molecular Distributions in Gene Regulatory Dynamics
Michael C. Mackey, Marta Tyran-Kamińska, Romain Yvinec
We show how one may analytically compute the stationary density of the distribution of molecular constituents in populations of cells in the presence of noise arising from either b…