Stochastic chemical kinetics describes the time evolution of a well-stirred chemically
reacting system in a way that takes into account the fact that molecules come in whole …

The microscopic spatial kinetic Monte Carlo (KMC) method has been employed extensively
in materials modeling. In this review paper, we focus on different traditional and multiscale …

Roughly at the time (1987) when the manuscript for the first three chapters of the present
book was completed, several breakthroughs occurred. They had a profound influence on the …

Motivation: Simulation and modeling is becoming a standard approach to understand
complex biochemical processes. Therefore, there is a big need for software tools that allow …

The tau-lea** method of simulating the stochastic time evolution of a well-stirred
chemically reacting system uses a Poisson approximation to take time steps that leap over …

We outline our perspective on stochastic chemical kinetics, paying particular attention to
numerical simulation algorithms. We first focus on dilute, well-mixed systems, whose …

Spatially extended population dynamics models that incorporate demographic noise serve
as case studies for the crucial role of fluctuations and correlations in biological systems …

In the stochastic formulation of chemical kinetics, the differential equation that describes the
time evolution of the lower-order statistical moments for the number of molecules of the …

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 modeling techniques have emerged as a powerful tool to study the time evolution
of processes in many research fields including (bio) chemical engineering and biology. One …