The standard model describing the fluctuations of mRNA numbers in single cells is the
telegraph model which includes synthesis and degradation of mRNA, and switching of the …

The bulk of stochastic gene expression models in the literature do not have an explicit
description of the age of a cell within a generation and hence they cannot capture events …

Transcription is regulated by a multitude of factors that concertedly induce genes to switch
between activity states. Eukaryotic transcription involves a multitude of complexes that …

A key goal of systems biology is the predictive mathematical description of gene regulatory
circuits. Different approaches are used such as deterministic and stochastic models, models …

The stochasticity of gene expression is manifested in the fluctuations of messenger
ribonucleic acid and protein copy numbers within a cell lineage over time. While data of this …

The classical three-stage model of stochastic gene expression predicts the statistics of
single cell mRNA and protein number fluctuations as a function of the rates of promoter …

The snapshot distribution of mRNA counts per cell can be measured using single-molecule
fluorescence in situ hybridization or single-cell RNA sequencing. These distributions are …

The stochasticity of gene expression presents significant challenges to the modeling of
genetic networks. A two-state model describing promoter switching, transcription, and …

The chemical master equation and the Gillespie algorithm are widely used to model the
reaction kinetics inside living cells. It is thereby assumed that cell growth and division can be …

Gene transcription is a noisy process, and cell division cycle is an important source of gene
transcription noise. In this work, we develop a mathematical approach by coupling …