The phenomenon of a gene expression burst has been attributed to random transitions
between the active and inactive states of a gene. However, the mechanisms underlying …

The stochasticity of transcription can be quantified by mRNA distribution $ P_m (t) $, the
probability that there are $ m $ mRNA molecules for the gene at time $ t $ in one cell …

Gene transcription is a random process in single cells manifested by the observed
distribution of mRNA copy numbers in homogeneous cell populations. A central question is …

Gene transcription is a complex multistep biochemical process, which can create memory
between individual reaction events. On the other hand, many inducible genes, when …

Genetically identical cell populations growing in the same environment show a large degree
of heterogeneity in gene expression profiles, resulting in significant phenotypic …

In this paper, we use a similar approach to the one proposed by Chen and Jiao to calculate
the mathematical formulas of the generating function V (z, t) and the mass function P m (t) of …

Gene transcription is a stochastic process characterized by fluctuations in mRNA levels of
the same gene in isogenic cell populations. A central question in single‐cell studies is how …

In experiments, the distributions of mRNA or protein numbers in single cells are often fitted to
the random telegraph model which includes synthesis and decay of mRNA or protein, and …

Transcriptional bursting has been attributed to the random switch between the off and on
states of genes. Previous studies modeled gene activation as a process involving ordered …

Gene transcription is a stochastic process with random switching between gene off and on
states. In this paper, we established a cycle of gene inactivation consisting of two off states …