A matrix material is provided for implanting in tissue in surgical applications. The matrix material includes a body portion and at least one suture attached to the body portion so that the suture extends outwardly from the body portion. The suture includes an elongated suture body having a first distal end and a second proximal end, and a plurality of barbs projecting from the elongated suture body. Each barb faces in a direction and is adapted for resisting movement, when in tissue, in an opposite direction from the direction in which the barb faces. Also provided is a surgical method for suturing to tissue a matrix material. Also, the matrix material may be packaged inside sterile packaging.