A tubular structure having a variable support is provided with a tubular member and a flexible support that covers the structural support member such that the flexible tubular member can engage and disengage with the structural support member or to squeeze and release it, And a structural support member with a tubular member. The structural support member may be a tubular mesh, stent, framework, skeleton, braid, or other flexible framework. A fluid passageway can be used to inflate and deflate the flexible tubular member. Assembly methods and methods of use are also described.可変支持を有する管状構造は、可撓性管状部材が構造支持部材に係合および係脱する、またはそれを圧搾および解放することができるように、管状部材と、構造支持部材を覆う可撓性管状部材を伴う構造支持部材とを含む。構造支持部材は、管状メッシュ、ステント、枠組、骨格、編組、または他の可撓性枠組であり得る。流体通路が、可撓性管状部材を膨張および収縮させるために使用されることができる。組立方法および使用方法もまた、説明される。