The evolution of technologies is enabling the integration of complex platforms in a single chip, called a System-on- Chip (SoC).Modern SoCsmay include several CPU subsystems to execute software and sophisticated interconnect in addition to specific hardware subsystems. To manage and exploit this high degrees of provided parallelism in hw / sw, we need regular constructors both for hardware and software. SoC co-design requires to master a lot of different abstraction levels, different simulation techniques, different synthesis tools. Due to the technology evolution, the best one is the one to come. Evolution of the embedded systems is not simple, both hardware and software, the business logic has to be kept and the technical aspect has to be thrown. To improve the permanence of System on Chip we have to abstract from the technical concerns. Model Driven Engineering proposes a separation of concerns: application and technical concerns. Use of modeling standard can capitalize system descriptions and improve system evolution and integration.We propose the use of UML2 as a modeling language for MPSoC system design. To model regular hardware and software, we propose to introduce multi-dimensional multiplicities and mechanisms for the description of regular connection patterns between model elements. This proposition is domain independent. We illustrate the use of these mechanisms in an intensive computation embedded system co-design methodology. We focus on what these factorization mechanisms can bring for each of the aspects of the co-design: application, hardware architecture, and allocation.