Described are materials and methods for inhibiting the formation of tissue adhesions. Inone aspect, a prosthetic tissue support mesh, and especially such a mesh comprised ofa remodelable material that promotes tissue ingrowth, incorporates an effective amountof an anti-inflammatory compound such as a non-steroidal anti- inflammatory drug(NSAID) to inhibit the formation of tissue adhesions to the mesh and/ or to surroundingtissues when implanted in a patient. Also described are materials and methodsfor increasing the length of persistence of implanted resorbable materials,and especially implanted bioremodelable materials, using an anti -inflammatorycompound such as an NSAID.