This paper describes SymbioticSphere, a novel biologically-inspired architecture that allows grid systems (application services and middleware platforms) to be scalable and adaptive to dynamic network environments. In SymbioticSphere, each service and platform is designed as a biological entity, analogous to an individual bee in a bee colony. Services and platforms implement biological concepts and mechanisms such as decentralization, emergence, energy exchange, migration, replication and death. Like in biological systems, desirable systems characteristics such as scalability and adaptability emerge from collective actions and interactions of services and platforms.