Medical grafting methods and apparatus

This invention relates to medical methods and apparatus, and more particularly to methods and apparatus for installing a tubular graft in a patient for such purposes as bypassing an occlusion or narrowing in the patient's tubular body structure. Methods and apparatus for making an anastomotic connection between first and second tubular fluid conduits are provided. For example, a connector may be configured for attachment to the first and second tubular fluid conduits and have an interior thereof substantially accessible to the interior of the first tubular fluid conduit. The connector may be configured for annular enlargement. An expandable structure is provided having a first portion configured to annularly enlarge the connector by engaging the interior of the connector. A second portion may be configured to extend through an opening in the medial portion of the first tubular fluid conduit.