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Today scientists and engineers are commonly faced with the challenge of modelling, predicting and controlling multiscale systems which cross scientific disciplines and where several processes acting at different scales coexist and interact. Such multidisciplinary multiscale models, when simulated in three dimensions, require large scale or even extreme scale computing capabilities. The MAPPER project is developing computational strategies, software and services to enable distributed multiscale simulations across disciplines, exploiting existing and evolving e-Infrastructure. The resulting multi-tiered software infrastructure, which we present in this paper, has as its aim the provision of a persistent, stable infrastructure that will support any computational scientist wishing to perform distributed, multiscale simulations.