%0 Journal Article %T Non-Stationary Forward Flux Sampling %A Nils B. Becker %A Rosalind J. Allen %A Pieter Rein ten Wolde %J Physics %D 2012 %I arXiv %R 10.1063/1.4704810 %X We present a new method, Non-Stationary Forward Flux Sampling, that allows efficient simulation of rare events in both stationary and non-stationary stochastic systems. The method uses stochastic branching and pruning to achieve uniform sampling of trajectories in phase space and time, leading to accurate estimates for time-dependent switching propensities and time-dependent phase space probability densities. The method is suitable for equilibrium or non-equilibrium systems, in or out of stationary state, including non-Markovian or externally driven systems. We demonstrate the validity of the technique by applying it to a one-dimensional barrier crossing problem that can be solved exactly, and show its usefulness by applying it to the time-dependent switching of a genetic toggle switch. %U http://arxiv.org/abs/1201.3823v1