Hybrid approaches for multiple-species stochastic reaction-diffusion models

摘要: Reaction-diffusion models are used to describe systems in fields as diverse physics, chemistry, ecology and biology. The fundamental quantities such individual entities atoms molecules, bacteria, cells or animals, which move and/or react a stochastic manner. If the number of is large, accounting for each inefficient, often partial differential equation (PDE) behaviour individuals replaced by description averaged, mean system. In some situations large certain regions small others. cases, model may be inefficient one region, PDE inaccurate another. To overcome this problem, we develop scheme couples reaction-diffusion system part domain with its field analogue, i.e. discretised model, other domain. interface between two domains occupies exactly lattice site chosen that still accurate there. way errors due flux small. Our can account multiple dynamic interfaces separating deterministic domains, coupling conserves total particles. method preserves features extinction not observable description, significantly faster simulate on computer than pure model. A novel hybrid stochastic/deterministic simulation given.Can massively speed up simulations while preserving effects.Can handle reacting species.Can moving boundaries.