A biocompatible textile and methods for its use and fabrication are disclosed. The textile may be fabricated from electrospun fibers forming windings on a mandrel, in which the windings form openings having a mesh size between adjacent windings. The textile may also be fabricated by the addition of solvent-soluble particles incorporated into the textile while the windings are formed. Such particles may be removed by exposing the textile to a solvent, thereby dissolving them. Disclosed are also replacements for animal organs composed of material including at least one layer of an electrospun fiber textile having a mesh size. Such replacements for animal organs may include biocompatible textiles treated with a surface treatment process.