An implantable expandable device includes an occluding surface oriented substantially in a transverse plane. The occluding surface is bounded by a lateral occluding surface edge and a medial occluding surface edge. The occluding surface has an occluding surface body located transversely between the lateral and medial occluding surface edges. A supporting structure is located entirely inferiorly to the occluding surface. The supporting surface includes a plurality of struts extending substantially in the superior-inferior direction. At least a first one of the struts is a full-height strut and spans substantially a full superior-inferior height of the device. At least a second one of the struts is a reduced-height strut and spans substantially less than a full superior-inferior height of the device. The occluding surface substantially occludes a transverse cross-section of the false lumen to substantially block bloodflow in the superior-inferior direction within the false lumen.
