One aspect of the invention relates to a graft, a surface of which is coated with an amphiphilic block copolymer that includes both hydrophobic and hydrophilic polymer chains. An amphiphilic block copolymer coating according to the invention can serve as a carrier for a very broad range of drugs, possibly including every drug presently used, being considered for use, or likely to be used in the future to inhibit stenosis. The release rates of the drugs can be controlled, for example, through the length of the polymer chains, through their ratio, or through the degree of cross-linking.