The aim of this project is to coordinate the work of 11 research groups of the Community of Madrid (members of CSIC and several universities) whose works are based on the Modelling and Simulation of Complex Systems. The Science of Complex Systems was born more than a century ago as a branch of Statistical Physics, in an attempt to explain the macroscopic behavior of the matter, which was treated as an enormous collectivity of atomic and molecular components in interaction. The power and the capacity of prediction of this branch of Physics has been widely explored in the last century, but it has been at the end of the 20th century when such models created in the Statistical Physics context have been successfully applied to other different fields like Sociology, Biology or Economy, a fact that has transformed the perception about the Science of Complex Systems. The main features of the systems formed by many elements in interaction are shared with all the lines of this project, together with a strong load of numerical simulations. The tools used in modeling and simulation are, in many cases, independent of the studied system, facilitating the collaboration between groups and their application to different fields. It is for these reasons that despite of the fact that the majority of the groups integrating the project work in the areas of Physics of the Condensed Matter and Applied Physics, the project is fully crossdisciplinary.