The ability to quantify transcriptional dynamics in individual cells via live imaging has
revolutionized our understanding of gene regulation. However, such measurements are …

Model-guided design has become a standard approach to engineering biomolecular circuits
in synthetic biology. However, the stochastic nature of biomolecular reactions is often …

Burst-like synthesis of protein is a significant source of cell-to-cell variability in protein levels.
Negative feedback is a common example of a regulatory mechanism by which such …

Fluctuation ('noise') in gene expression is critical for mammalian cellular processes.
Numerous mechanisms contribute to its origins, yet the mechanisms behind large …

Gene expression is an inherently noisy process. This noise is generally thought to be
deleterious as precise internal regulation of biochemical reactions is essential for cell growth …

A ring oscillator is a system in which one species regulates the next, which regulates the
next and so on until the last species regulates the first. In addition, the number of the …

It is well known that single-gene circuits with negative feedback loop can lead to oscillatory
gene expression when they operate with time delay. In order to generate these oscillations …

Cells may control fluctuations in protein levels by means of negative autoregulation, where
transcription factors bind DNA sites to repress their own production. Theoretical studies have …

Oscillations are crucial to the normal function of living organisms, across a wide variety of
biological processes. In eukaryotes, oscillatory dynamics are thought to arise from …

Delayed production can substantially alter the qualitative behaviour of feedback systems.
Motivated by stochastic mechanisms in gene expression, we consider a protein molecule …