A re-rollable membrane for wrapping around and protecting a cylindrical tissue having an injury site. The membrane includes a sheet of a porous matrix formed of cross-linked biopolymeric fibers. In one implementation, the sheet can be spirally rolled so that at least one portion overlaps another portion of the sheet and, upon absorption of a fluid, the overlapping portions adhere to each other closely so as to exclude penetration of cells. In another implementation, the sheet can be helically rolled to form a helix having a pitch of 2 mm to 40 mm and an inner diameter of 1 mm to 50 mm. Also disclosed are methods for making and using such re-rollable membranes.
