To deploy to Tutum, I wrote a couple of stack definitions, that define three different Docker services per deployment (i.e. staging and production): MongoDB, MuzHack and Nginx (services correspond to Docker containers, although a service might spin up several containers to scale out). MongoDB is the database used by MuzHack and Nginx acts as a facade Web server, for basal duties such as handling SSL. The stack definitions ensure that MuzHack is linked to the MongoDB service and that Nginx is linked to MuzHack (as Nginx' backend server).
To create the stacks on Tutum, I used the tutum stack up command, e.g. for staging:
tutum stack up -n tutum-staging -f docker/tutum-staging.yaml.