Formed compositions for application to a bone surface of a human or animal subject, comprising: a bone material; and a carrier comprising denatured demineralized bone, where the composition is formed into a shape suitable for administration to the bone. Methods are provided for making formed compositions for application to a bone surface of a human or animal subject comprise mixing a demineralized bone and water; heating the mixture to form a carrier; mixing the carrier with bone to form a moldable composition; and molding the moldable composition to produce a formed composition. Several apparatuses are provided in which to hydrate the formed bone composition. Methods of hydrating a formed bone composition are also provided.