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Unbiased Rare Event Sampling in Spatial Stochastic Systems Biology Models Using a Weighted Ensemble of Trajectories

Fig 1

Weighted ensemble algorithm.

One initial trajectory is iteratively resampled until its progeny trajectories are distributed equally around the state-space, according to user-defined bins. Excess trajectories are pruned if necessary. This process is statistically exact if the probabilistic weight of each trajectory is properly accounted for in the resampling (splitting/merging) process. In between splitting and merging events, each trajectory follows the natural dynamics of the system, and splitting events occur when a trajectory naturally wanders into an underpopulated region of space. Reprinted with permission from Efficient stochastic simulation of chemical kinetics networks using a weighted ensemble of trajectories, The Journal of Chemical Physics 139: 115105.

Fig 1

doi: https://doi.org/10.1371/journal.pcbi.1004611.g001