Computing the probabilities of HLA-like matching
We present several alternative computation schemes, accompanied with appropriate software, to compute the probabilities of the (2n+1) possible match levels between the alleles in n genetic sites of a given individual, and the alleles in the same n sites of an individual who is drawn randomly from a given population. The modeling generalizes the asymmetric HLA-criterion which defines the donor-recipient immunological compatibility in kidney or bone-marrow transplantation. We discuss our algorithms by order of their run-time complexity with respect to n. We show the advantage of using computational schemes over explicit expressions even for the HLA present-day count of n=3.
hla immunology transplantation tissue-match generating functions fft polynomial multiplication