Annular prostheses comprising an elongated tubular member formed from an extracellular matrix (ECM) composition comprising ECM from a mammalian tissue source, which, when disposed proximate damaged cardiovascular tissue, induces modulated healing, including modulation of inflammation and bioremodeling. The ECM can also be augmented with a supplemental biologically active agent, such as a growth factor, to enhance modulation of inflammation and bioremodeling.