alloimmune

adjective

al·​lo·​im·​mune ˌal-ō-i-ˈmyün 

: of, relating to, or characterized by isoimmunization

Various studies over the past decade have indicated that the alloimmune response, mediated by anti-HLA antibodies, plays a key role in the failure of kidney allografts; this concept has been extended to heart, lung, and composite tissue transplants.

—Alexandre Loupy et al., The New England Journal of Medicine