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

Agent-based models provide a flexible framework that is frequently used for modelling many
biological systems, including cell migration, molecular dynamics, ecology and epidemiology …

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

Genetic feedback loops in cells break detailed balance and involve bimolecular reactions;
hence, exact solutions revealing the nature of the stochastic fluctuations in these loops are …

The chemical Fokker-Planck equation and the corresponding chemical Langevin equation
are commonly used approximations of the chemical master equation. These equations are …

Background It is well known that the deterministic dynamics of biochemical reaction
networks can be more easily studied if timescale separation conditions are invoked (the …

Moment-closure approximations have in recent years become a popular means to estimate
the mean concentrations and the variances and covariances of the concentration …

Quantitative mechanistic models are valuable tools for disentangling biochemical pathways
and for achieving a comprehensive understanding of biological systems. However, to be …

The linear noise approximation (LNA) is a way of approximating the stochastic time
evolution of a well-stirred chemically reacting system. It can be obtained either as the lowest …

Mean field approximation is a powerful technique to study the performance of large
stochastic systems represented as n interacting objects. Applications include load balancing …