Medical devices and methods for closing an anatomical aperture in a tissue are disclosed. The medical devices can include distal and proximal support structures, which can include a plurality of anchor members. A connection element can connect the distal and proximal support structures, and be configured to twist to create a seal within the medical device. In certain embodiments, a sheath about the medical device can be retracted to expose the distal support structure, which can allow it to revert to an anchoring configuration from a delivery configuration, such that the anchor members can engage an interior surface of the tissue. After twisting the connection element to form a seal, the sheath can be further retracted to expose the proximal support structure, which can allow it to revert to an anchoring configuration from a delivery configuration, such that the anchor members can engage an exterior surface of the tissue.