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- How to model DNA replication in stochastic models of synthetic genetic circuits (and why) + (Biocircuit modeling sometimes requires exp … Biocircuit modeling sometimes requires explicit tracking of a self-replicating DNA species. The most obvious, straightforward way to model a replicating DNA is structurally unstable and leads to pathological model behavior. We describe a simple, stable replication mechanism with good model behavior and show how to derive it from a mechanistic model of ColE1 replication. a mechanistic model of ColE1 replication.)