A self-expanding endoluminal device comprising a tubular filamentary member having a hollow core for receiving a guidewire, the tubular member having a straightened configuration with the guidewire in the hollow core, a shape memory configuration without the guidewire in the hollow core, and an extension, optionally severable, accessible from outside of the body. The hollow core may be adapted to contain and elute or permanently contain a substance, which may be injected through the extension. A delivery system includes the guidewire, and a deployment method includes deployment with a proximal end of the extension accessible from outside of the body.