Telemedicine, or the ability granted to doctors to remotely assist patients has been greatly benefited by advances in IoT, network communications, Machine Learning and Edge/Cloud computing. With the impeding arrival of 5G, virtualized infrastructures and cloud-native approaches enable the execution of unprecedented procedures during such patient/doctor interactions, allowing medical professionals to e.g. request higher granularity metrics from patients' telemetry equipment, or perform on-demand data mining/processing of patient's stored data in order to provide a more educated diagnostic or prediction.In this work we coalesce the virtues of virtualized infrastructures and IoT into a solution able to satisfy increasing data processing demands for eHealth, e.g. for telemedicine applications, remote assistance or patient pre-screening procedures. The proposed platform, CURATE, leverages Network Functions Virtualisation Management and Orchestration (NFV MANO) for the on-demand instantiation of the required virtual resources on the operator's infrastructure, as well as the concept of 5G Network Slices to guarantee e cient resource allocation and tenant isolation. Results show the proposed platform is able to e ciently make use of the available hardware resources via Network Slices, as well as provide cost-e ective service guarantees employing dynamic scaling operations.