Please forgive my ignorance on this subject, but how would cells in a donated organ be replaced (or are they)?, seeing how it has been cut off from the original owner.
The average human body will regenerate most of its cells every 7–10 years. You’re a fundamentally different person every decade Was the general thought http://askanaturalist.com/do-we-replace-our-cells-every-7-or-10-years/
However there is fresh debate on this idea
So by this reckoning at least even a transplanted organ becomes yours again over time by means
of cell replacement... your own body looks after the process