Described herein are methods and apparatus for approximating targeted tissue using locking sutures. The locking sutures can be configured to receive suture ends that are interweaved through portions of the locking sutures. In a pre-deployment configuration, a locking suture can slide along suture tails and can be positioned at a target location within a target region. Once a desired position and/or tension is achieved, the locking suture can be transitioned to a post-deployment configuration where the locking suture constricts around the suture tails to inhibit relative movement between the suture tails and the locking suture.