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Multiprocessor system-on-chip (MPSoCs) have attracted significant attention since they are recognized as a scalable paradigm to interconnect and organize a high number of cores. Current multicore embedded systems exhibit increased levels of dynamic behavior, leading to unexpected memory footprint variations unknown at design time. Dynamic memory management (DMM) is a promising solution for such types of dynamic systems. Although some efficient dynamic memory managers have been proposed for conventional bus-based MPSoC platforms, there are no DMM solutions regarding the constraints and the opportunities delivered by the physical distribution of multiple memory nodes of the platform. In this work, we address the problem of providing customized microcoded DMM on MPSoC platforms with distributed memory organization. Customization is enabled at application- and platform-level. Results show that customized microcoded DMM can serve approximately 7× more allocation requests compared to pure distributed memory platforms and perform 25% faster than the corresponding high-level implementation in C language.