Edsger W. Dijkstra has frequently suggested building a "firewall" between the technology- and application-side of computer science. His justification: The methods to attack the computer scientists' formal, mathematical "correctness problem" differ fundamentally from the methods to attack the applicants' informal "pleasantness problem". In this setting, a model is always confined to one side or the other of this wall. This keynote shows that a seamless transition between both sides can be achieved by a framework with architecture, statics, and dynamics as the three pillars of modeling computer-integrated systems. Selected examples justify this framework. It allows to "breath life" into (static) models, and it implies a new understanding of the "pleasantness" of computer-integrated systems, which is well-needed in the age of "digital first".