A medical system for treating an internal tissue opening can include a closure device and associated delivery device. The closure device can include a body portion operatively associated with a first anchor and a second anchor. The body portion can include a plurality of segments defining a multi-cellular structure. The closure device can be configured to apply lateral force to tissue of the internal tissue opening to bring tissue together. The closure device can have a substantially flat aspect, and have a depth thickness that is substantially greater than the thickness or width of a majority of the members forming the closure device to reduce out of plane bending. The closure device can also include a member adapted to induce tissue growth.