This paper describes a biologically-inspired network architecture, called SymbioticSphere, which allows server farms to autonomously adapt to dynamic environmental changes and achieve power efficiency. SymbioticSphere follows certain biological principles such as decentralization, natural selection, emergence and symbiosis to design server farms (application services and middleware platforms). Each application service and middleware platform is modeled as a biological entity, analogous to an individual bee in a bee colony. Simulation results show that, like in biological systems, desirable system properties (e.g., adaptability and power efficiency) emerge from collective actions and interactions of application services and platforms.