A prosthesis, which, when implanted into a mammalian patient, serves as a functioning replacement for a body part, or tissue structure, and will undergo controlled biodegradation occurring concomitantly with bioremodeling by the patients living cells. The prosthesis is treated so that it is rendered non-antigenic so as not to elicit a significant humoral immune response. The prosthesis, in its various embodiments, thus has dual properties. First, it functions as a substitute body part, and second, it functions as bioremodeling template for the ingrowth of host cells.