There has, in recent years, been growing interest in Model Driven Engineering (MDE), in which models are the primary design artifacts and transformations are applied to these models to generate refinements leading to usable im- plementations over specific platforms. There is also interest in factoring out a number of non-functional aspects, such as security, to provide reusable solutions applicable to a num- ber of different applications. This paper brings these two approaches together, inves- tigating, in particular, the way behaviour from the different sources can be combined and integrated into a single de- sign model. Doing so involves transformations that weave together the constraints from the various aspects and are, as a result, more complex to specify than the linear pipelines of transformations used in most MDE work to date. The ap- proach taken here involves using an aspect model as a tem- plate for refining particular patterns in the business model, and the transformations are expressed as graph rewriting rules for both static and behaviour elements of the models.