WordNet (r) 3.0 (2006):

noncommunicable
    adj 1: (of disease) not capable of being passed on [syn:
           noncommunicable, noncontagious, nontransmissible]

Moby Thesaurus II by Grady Ward, 1.0:

18 Moby Thesaurus words for "noncommunicable":
   inalienable, incommunicable, indefeasible, indefinable,
   indescribable, ineffable, inenarrable, inexpressible, innominable,
   noncontagious, noninfectious, undefinable, unimpartable,
   unmentionable, unnameable, unspeakable, unutterable,
   unwhisperable