Gene-gene interactions are crucial to the control of sub-cellular processes but our
understanding of their stochastic dynamics is hindered by the lack of simulation methods …

In this study, we obtain an exact time-dependent solution of the chemical master equation
(CME) of an extension of the two-state telegraph model describing bursty or non-bursty …

Classical gene expression models assume exponential switching time distributions between
the active and inactive promoter states. However, recent experiments have shown that many …

Gene-expression bimodality, as a potential mechanism generating phenotypic cell diversity,
can enhance the survival of cells in a fluctuating environment. Previous studies have shown …

Gene expression noise arises from stochastic variation in the synthesis and degradation of
mRNA and protein molecules and creates differences in protein numbers across …

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 …

Gene transcription is a stochastic process manifested by the mRNA distribution data at the
single-cell level, which can be fitted using the mass function P m that quantifies the …

Gene transcription is a stochastic process manifested by fluctuations in mRNA copy
numbers in individual isogenic cells. Together with mathematical models of stochastic …

We introduce a biologically detailed, stochastic model of gene expression describing the
multiple rate-limiting steps of transcription, nuclear pre-mRNA processing, nuclear mRNA …

Motivation Gene transcription is a random and noisy process. Tremendous efforts in single-
cell studies have been mapping transcription noises to phenotypic variabilities between …