A method for beneficially displacing a papillary muscle, the method comprising: anchoring one end of an implant suture to a trigone or central fibrous body of the mitral valve; passing another end of the implant suture through a papillary muscle so that the implant suture extends between a trigone or central fibrous body of the mitral valve and the papillary muscle; tensioning the implant suture while displacing the papillary muscle toward the trigone or central fibrous body of the mitral valve; and securing the tensioned implant suture to the displaced papillary muscle so as to maintain the displaced papillary muscle in position relative to the trigone or central fibrous body of the mitral valve; wherein the foregoing steps of anchoring, passing, tensioning and securing are all effected while the heart is beating.