A stent for reinforcement of the lumen of a peristaltic organ is formed by knitting preferably a nitinol wire into a pattern of overlapping loops selected such that from a relaxed state each row of loops may shift axially relative to and independently of the rows on either side. This local lengthening and shortening accommodate peristalsis of the organ without migrating within the organ. A stent is also shown which comprises two resilient cylindrical mesh layers and a semi-permeable compliant membrane such as expanded polytetrafluoroethylene, sandwiched between. The two mesh layers may be knit of a flexible filament, and the knit may be configured so that the stent can adapt to peristalsis of the body lumen. A method is also shown of manufacturing a delivery system for a resilient tubular device such as a stent so that the device can be inserted into the body in a substantially reduced diameter. The method uses a confining block having a bore and a slot leading into the bore. The tubular device is pinched and inserted into the bore and the slot, two mandrels are inserted into the bore, one inside the device and one outside and the mandrels are revolved about each other to roll the device on itself.