The Chemical Langevin Equation (CLE), which is a stochastic differential equation driven by
a multidimensional Wiener process, acts as a bridge between the discrete stochastic …

Stochastic modeling is essential for an accurate description of the biochemical network
dynamics at the level of a single cell. Biochemically reacting systems often evolve on …

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

Mathematical and computational modeling are key tools in analyzing important biological
processes in cells and living organisms. In particular, stochastic models are essential to …

At the level of the cell, the chemical dynamics are often determined by the action of only a
few molecules and, consequently, molecular fluctuations may dominate the dynamics …

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 …

In biological systems formed by living cells, the small populations of some reactant species
can result in dynamical behavior which cannot be captured by the traditional reaction rate …

Markov jump processes are widely used to model interacting species in circumstances
where discreteness and stochasticity are relevant. Such mod-els have been particularly …

With the observation that biological systems are inherently stochastic, 1 the topic of
stochastic chemical kinetics has received wider interest. 2–9 By representing the chemically …

Stochastic effects play an important role in modeling the time evolution of chemical reaction
systems in fields such as systems biology, where the concentrations of some constituent …