Although well-suited for capturing concurrency in streaming applications, purely dataflow-based models of computation are lacking in expressing intricate control requirements that many modern streaming applications have. Consequently, a number of modeling approaches com-bining dataflow and finite-state machines has been proposed. However, these FSM/dataflow hybrids struggle with capturing the fine-grained data-dependent dynamics of modern streaming applications. In this article, we enrich the set of such FSM/dataflow hybrids with a novel formalism that uses parameterized dataflow as the concurrency model. We call the model FSM-based parameterized scenario-aware dataflow (PFSM-SADF). Through the use of parameterized da-taflow, the formalism ...