  In this work we study a tissue growth model with applications to tumour
growth. The model is based on that of Perthame, Quir\'os, and V\'azquez
proposed in 2014 but incorporates the advective effects caused, for instance,
by the presence of nutrients, oxygen, or, possibly, as a result of
self-propulsion. The main result of this work is the incompressible limit of
this model which builds a bridge between the density-based model and a geometry
free-boundary problem by passing to a singular limit in the pressure law. The
limiting objects are then proven to be unique.
