122 citations · 501 across the 17 of their papers we have counts for
17 papers
Generalization of Powell's results to population out of steady state
Jakub Jędrak, Marcin Rubin, Anna Ochab-Marcinek
Since the seminal work of Powell, the relationships between the population growth rate, the probability distributions of generation time, and the distribution of cell age have been…
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…
How good is the generalized Langevin equation to describe the dynamics of photo-induced electron transfer in fluid solution?
Gonzalo Angulo, Jakub Jędrak, Anna Ochab-Marcinek +4
The dynamics of unimolecular photo-triggered reactions can be strongly affected by the surrounding medium. An accurate description of these reactions requires knowing the free ener…
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…
Influence of gene copy number on self-regulated gene expression
Jakub Jędrak, Anna Ochab-Marcinek
Using an analytically solvable stochastic model, we study the properties of a simple genetic circuit consisting of multiple copies of an self-regulating gene. We analyse how the va…
Transcriptional leakage versus noise: A simple mechanism of conversion between binary and graded response in autoregulated genes
Anna Ochab-Marcinek, Marcin Tabaka
We study the response of an autoregulated gene to a range of concentrations of signal molecules. We show that transcriptional leakage and noise due to translational bursting have t…