Mechanical contraction waves show up in several biological processes, including embryo development and wound healing. Usually the study of these waves is done in an homogeneous environment, where heterogeneity is assumed to be just a variation of the observed processes. However, there is a lack of systematic studies on the role of heterogeneity, and in particular, of “controlled” or “tunable” heterogeneity. In this internship project will consider an effective network model with heterogeneity. We isolate one of the fields involved as the other is effectively enslaved by it. We will use different network realizations to explore how topological properties impact propagation in this system. And what is different between having geometric and topological heterogeneity.