A fiber matrix is provided for maintaining space in soft tissue, for example for use in procedures for assisting drainage of aqueous humor from an eye to treat glaucoma. The fiber matrix comprises a plurality of crossing fibers forming a mesh with a plurality of void spaces. The fibers and void spaces are sized and arranged so as to permit passage of fluid through the fiber matrix and to inhibit formation of scar tissue through the fiber matrix. The fibers may comprise a polymeric material, and the fiber matrix may be manufactured by electrospinning. The fibers may comprise a biostable and/or a biodegradable material. In one method of using a fiber matrix, the fiber matrix is positioned under a scleral flap, with at least part of the fiber matrix under the scleral flap.
