Biologically implantable prosthesis methods of using

1. A method for implanting a heart valve prosthesis into a tissue annulus, comprising:

implanting a first annular prosthesis into the annulus;

inserting a second valve prosthesis into the annulus after implanting the first annular prosthesis; and

securely engaging the second prosthesis to the first prosthesis within the annulus using a plurality of magnets on the first and second prostheses.

2. The method of claim 1 , wherein the second prosthesis is secured to the first prosthesis by:

orienting the second prosthesis relative to the first prosthesis to align the second prosthesis with the first prosthesis in a predetermined angular orientation; and

directing the second prosthesis into engagement with the first prosthesis to secure the second prosthesis in the predetermined angular orientation.

3. The method of claim 2 , wherein the first prosthesis comprises a plurality of bottom magnets and the second prosthesis comprises a plurality of top magnets, a polarity of at least one of the bottom and top magnets being reversed such that the second prosthesis is oriented in the predetermined angular orientation by the bottom and top magnets as the second prosthesis is directed into engagement with the first prosthesis.

4. A method for implanting a heart valve in a tissue annulus within a patient's heart, comprising:

positioning a first annular prosthesis within the tissue annulus in an unexpanded state;

expanding the first prosthesis to an expanded state within the tissue annulus to contact surrounding tissue;

fixing the first prosthesis to tissue surrounding the tissue annulus;

introducing a second valve prosthesis into the tissue annulus after fixing the first prosthesis; and

securing the second prosthesis relative to the first prosthesis within the tissue annulus by engaging a plurality of engagement elements on the first and second prostheses,

wherein the engagement elements comprise magnets.