A prosthetic device for attachment to a vascular structure includes a body with an axial length configured to be adjustable by manipulation of at least one design feature but not materially affected by simple luminal pressurization. The at least one design feature includes at least one of a reducing mechanism or a purse-string provided along at least part of a circumference of the body to actuate reduction of a diameter of the device. The prosthetic device may include a body with an axial length configured to be adjustable and at least one roll-down segment at one end of the body. The at least one roll-down segment may be configured to be facilitated or supported by integrated shape memory materials to maintain the roll-down characteristics.
