An implant for placement within a hollow body organ. The implant has a member with distal and proximal ends. The member has an undeployed shape for delivery to the hollow body and a deployed shape for implantation therein. The implant has at least one tensioning tether with a first end attached to at least one of the distal and proximal end and a second ends attached to the member between the distal and proximal ends. Wherein applying tension to the tether moves the member towards the deployed shape. The member preferably has a first rate at which it initially resists bending, and a second substantially higher rate at which it resists further bending.