Implants formed by a helically wound wire and methods of using same for the treatment of a mitral heart valve. According to the invention, it has dimensions such that it is able to be screwed into the wall of the annulus and/or into the cardiac wall adjoining the annulus such that a portion of the annulus and/or of the wall is located in the perimeter of the implant and it comprises at least one first coil able, during said screwing of the implant, to insert itself into the wall while having a first dimension and at least one second coil having a second dimension, or adopting this second dimension after implantation, the second dimension being smaller than the first dimension such that the implant, once inserted, enables contraction of the wall portion located in the perimeter of the implant.
