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We present a novel multiscale simulation approach for modeling stochasticityin chemical reaction networks. The approach seamlessly integratesexact-stochastic and "leaping" methodologies into a single "partitionedleaping" algorithmic framework. The technique correctly accounts for stochasticnoise at significantly reduced computational cost, requires the definition ofonly three model-independent parameters and is particularly well-suited forsimulating systems containing widely disparate species populations. We presentthe theoretical foundations of partitioned leaping, discuss various options forits practical implementation and demonstrate the utility of the method viaillustrative examples.Comment: v4: 12 pages, 5 figures, final accepted version. Error found and  fixed in Appendi

A “partitioned leaping” approach for multiscale modeling of chemical reaction dynamics