Stochastic fluctuations of molecule numbers are ubiquitous in biological systems. Important
examples include gene expression and enzymatic processes in living cells. Such systems …

Complex networks, comprised of individual elements that interact with each other through
reaction channels, are ubiquitous across many scientific and engineering disciplines …

Fokker–Planck equations are extensively employed in various scientific fields as they
characterise the behaviour of stochastic systems at the level of probability density functions …

The Waddington epigenetic landscape has become an iconic representation of the cellular
differentiation process. Recent single-cell transcriptomic data provide new opportunities for …

Biochemical networks are used in computational biology, to model mechanistic details of
systems involved in cell signaling, metabolism, and regulation of gene expression …

Plants in natural environments receive light through sunflecks, the duration and distribution
of these being highly variable across the day. Consequently, plants need to adjust their …

The chemical Langevin equation (CLE) is a popular simulation method to probe the
stochastic dynamics of chemical systems. The CLE's main disadvantage is its break down in …

The dynamics of molecular systems is an essential tool of systems biology. It helps figuring
out what is the effect of the perturbation of a system, or what is the best dose for a drug or …

The frequently used reduction technique is based on the chemical master equation for
stochastic chemical kinetics with two-time scales, which yields the modified stochastic …

Stochasticity plays a fundamental role in various biochemical processes, such as cell
regulatory networks and enzyme cascades. Isothermal, well-mixed systems can be …