Organisms across species differ in the relative size and complexity of their tissues to serve
the specific purposes of the host. Correct timing is a crucial ingredient in the development of …

Intracellular reaction rates depend on concentrations and hence their levels are often
regulated. However classical models of stochastic gene expression lack a cell size …

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 …

Temporal variation of environmental stimuli leads to changes in gene expression. Since the
latter is noisy and since many reaction events occur between the birth and death of an …

Cellular proliferation, regulated by the cell cycle, assumes a malignant pattern in cancer. We
summarize how nonlinear dynamics and chaos theory shed light on the irregular rhythm of …

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

Fractals are ubiquitous in nature and random walks on fractals have attracted lots of
scientific attention in the past several years. In this work, we consider discrete random walks …

The periodic transcription output is ubiquitously observed in an isogenic cell population. To
understand mechanisms of cyclic behavior in transcription, we extend the gene activation …

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 …

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 …