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The interplay between coherent and dissipative processes that governs both bio-inspired as well as engineered quantum networks supports a rich tapestry of non-equilibrium phenomena. These hold promise for enabling quantum-enhanced light harvesting, molecular electronics, generation of thermopower, and nanoscale sensing. A theoretical challenge consists of developing well-founded and tractable models for exploring the dynamics of systems that are simultaneously strongly coupled to more than one environment, for instance through interactions with surrounding electromagnetic and vibrational modes â typical for many networks comprised of condensed matter nanostructures. In this talk, I will cover our recent work in this area, with a particular focus on master equation approaches.