Cells are the fundamental units of life, and like all life forms, they change over time. Changes
in cell state are driven by molecular processes; of these many are initiated when molecule …

Stochastic protein accumulation up to some concentration threshold sets the timing of many
cellular physiological processes. Here we obtain the exact distribution of first threshold …

Gene networks typically involve the regulatory control of multiple genes with related function.
This connectivity enables correlated control of the levels and timing of gene expression …

The post-transcriptional regulation of a protein by multiple small RNA molecules has been
formulated as a stochastic process. An approximate solution of the master equation shows …

An important function of microRNAs in gene regulation is to repress the protein synthesis in
a multi-step process with implications in timing efficiency of the regulatory network. We …

Gene regulation in a cellular environment is a stochastic phenomenon leading to a large
variability in mRNAs and protein numbers that are often produced in bursts. The regulation …

The timing of diverse cellular processes is based on the instant when the concentration of
regulatory proteins crosses a critical threshold level. Hence, noise mechanisms inherent to …

Gene expression is inherently a noisy process which manifests as cell-to-cell variability in
time evolution of proteins. Consequently, events that trigger at critical threshold levels of …

Birth–death–movement processes, modulated by interactions between individuals, are
fundamental to many cell biology processes. A key feature of the movement of cells within in …

Transcription in gene expression is an intrinsically noisy process which involves production
and degradation of mRNAs. An important quantity to describe this stochastic process is the …