A prosthetic implant for treating a diseased aortic valve is described. The prosthetic implant includes a substantially tubular body configured to be positioned in an aorta of a patient, at or near the patient's aortic valve. The body includes a lumen extending through the body from a proximal end to a distal end of the body; and an adjustable frame surrounding the lumen. The prosthetic implant further includes at least one adjustable element located in or on the body and extending at least partially around a circumference of the lumen. The at least one adjustable element includes a shape memory material and is transformable, in response to application of an activation energy, from a first configuration to a second configuration, wherein the first configuration and second configuration differ in a size of at least one dimension of the at least one adjustable element. The at least one adjustable element may engage at least one of a root of the aorta, an annulus of the aortic valve, and the patient's left ventricle, when the at least one adjustable element is in the second configuration.