Methods for making an anastomotic connection between a first conduit and a second conduit in a patient. The first conduit and a second conduit of the patient are placed relatively adjacent to each other at the operative site to make a side-to-side anastomosis connection. A region is created where the first conduit and the second conduit contact each other. An adhesive is placed in the region between the two conduits. An aperture is then created in the region with a cutting instrument. A ring of sutures or other fasteners may be used in place of or in addition to the adhesive. An end-to-side anastomosis may be used instead of a side-to-side anastomosis.
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