Cell-to-cell variability of gene expression in clonal populations of mammalian cells is
ubiquitous. However, because molecular biologists habitually assume uniformity of the cell …

The Waddington epigenetic landscape has become an iconic representation of the cellular
differentiation process. Recent single-cell transcriptomic data provide new opportunities for …

In cells, genes are transcribed into mRNAs, and the latter are translated into proteins. Due to
the feedbacks between these processes, the kinetics of gene expression may be complex …

Random fluctuations in gene expression lead to wide cell-to-cell differences in RNA and
protein counts. Most efforts to understand stochastic gene expression focus on local …

The study of random fluctuations in a gene transcriptional regulatory system is extended to
the case of non-Gaussian Lévy noise, which can describe unpredictable jump changes of …

Starting with a stochastic differential equation driven by combined Gaussian and Lévy noise
terms we determine the associated fractional Fokker–Planck–Kolmogorov equation …

We survey work that has been carried out in the attempts of biomathematicians to
understand the dynamic behavior of simple bacterial operons starting with the initial work of …

Stochastic fluctuations in gene expression give rise to distributions of protein levels across
cell populations. Despite a mounting number of theoretical models explaining stochasticity …

Background Although genome-wide transcriptional analysis has been used for many years
to study bacterial gene expression, many aspects of the bacterial transcriptome remain …

This paper considers adiabatic reduction in a model of stochastic gene expression with
bursting transcription considered as a jump Markov process. In this model, the process of …