Degradable bioprostheses made of collagen-based material having amine-based and ester-based crosslinks are provided, as are methods for their formation and use. Some embodiments of the present invention are directed towards a method of controlling the ratio of amine-based crosslinks to ester-based crosslinks within a collagen-based material to provide a tailorably crosslinked collagen-based material. Some embodiments provide a method of making a degradable bioprosthesis involving controlling crosslinking to afford a degradable bioprosthesis that is partially crosslinked. By controlling the ratio of amine-based to ester-based crosslinks, by controlling the level of crosslinking, or by controlling both of these features, degradable bioprostheses with tailored degradation rates can be synthesized. Some embodiments of degradable bioprostheses have degradation rates that are tailored to allow their use in particular medical applications. Some embodiments are directed towards methods of use degradable bioprostheses in wound healing, tissue repair, and tissue supplementation.