The present invention comprises a medical device having an underlying structure on which is disposed a fiber meshwork composed of one or more fibers of substantially uniform diameter. The fiber meshwork may optionally have a multi-layer structure disposed upon it. Either or both of the fiber meshwork or the multi-layer structure may have one or more therapeutic agents absorbed within it. The fiber meshwork is permeable to body fluids and thereby permits body fluids to contact the underlying structure to facilitate its controlled disintegration. The fiber meshwork degrades more slowly than the underlying structure thereby permitting release of the therapeutic agent over a timescale longer than that of the lifetime of the underlying structure, while also ensuring that the support function of the underlying structure is not abrogated by the disintegration of the underlying structure.