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physics.bio-ph2019★ 26 cited
Exactly solvable model of gene expression in proliferating bacterial cell population with stochastic protein bursts and protein partitioning
Jakub Jędrak, Maciej Kwiatkowski, Anna Ochab-Marcinek
Many of the existing stochastic models of gene expression contain the first-order decay reaction term that may describe active protein degradation or dilution. If the model variabl…
physics.bio-ph2016★ 27 cited
Time-dependent solutions for a stochastic model of gene expression with molecule production in the form of a compound Poisson process
Jakub Jędrak, Anna Ochab-Marcinek
We study a stochastic model of gene expression, in which protein production has a form of random bursts whose size distribution is arbitrary, whereas protein decay is a first-order…