A synthetic construct suitable for implantation into a biological organism that includes at least one polymer scaffold; wherein the at least one polymer scaffold includes at least one layer of polymer fibers that have been deposited by electrospinning; wherein the orientation of the fibers in the at least one polymer scaffold relative to one another is generally parallel, random, or both; and wherein the at least one polymer scaffold has been adapted to function as at least one of a substantially two-dimensional implantable structure and a substantially three-dimensional implantable tubular structure.