The growing complexity of distributed biomedical application requirements present new challenges to the representation of software architectural analysis and design. This is the case in particular when using Grid infrastructures for supporting interactive biomedical applications. In this paper we present a generic Grid software architecture for biomedicine, where we focus on a conceptual level of architecture design. In this approach, we identify high-level components, their subcomponents and their relationships as required to allow for basic interactivity. We apply our approach to a biomedical application for the simulation of blood flow, within a production Grid framework, and present our conclusions.