The instant disclosure is directed to methods of promoting the healing of concave wounds. A method for promoting the healing of a concave wound may comprise placing a scaffold over the concave wound, the scaffold comprising an electrospun polymer fiber. The scaffold may be pressed into the concave wound, such that the scaffold simultaneously contacts at least a bottom portion of the concave wound and at least a side portion of the concave wound. The method may be suture free. The scaffold employed in such a method may have an asterisk shape comprising a center and at least two spokes, and pressing the scaffold into the concave wound may comprise pressing the center of the scaffold into the bottom portion of the concave wound, and allowing the at least two spokes of the scaffold to fold upward to contact the side portion of the concave wound.
