fbircher said:
meb:
One more point on your numbers. The lower the number of possible antigen combinations, the higher the likelihood of two randomly chosen subjects having a match, the higer the likelihood of a false NEGATIVE. As I understand it, this test flags a cheater by finding different combinations of antingens in blood cells of one person. The fact that somebody else happens to have the same antigen combination as a given test subject still couldn't account for one test subject having two different antigen combinations. 1.7/1000 expresses the odds of a cheater getting lucky and having a blood donor that happens to match his own antigen combination, which would yield a false negative.
The 1.7/1000 the developer cited reflects the phenotypes not being split 50-50 on each of the ten antigens in the original test. You would get the longest odds at matching donor-recipient for a given number of phenotypes if the incidence was split 50-50, anything else reduces the likelihood of a difference. (i.e. a 50-50 phenotype split results in a 50-50 random chance of a match on an antigen, a 90-10 phenotype split means .9x.9+.1x.1=.82 so there is an 82% random chance of a match)
I assume the 13 you came up with represents 3 additional antigens having been added from the group of 10 antigens that had sufficient diversity in the populace to serve as a screening test. . The developer did state they might be developed for additional detection.
Your correct on the 2^13, it is 8096.
There’s only two alleles on each of those genes (or at least the 10 original ones, not sure about the additional 3 you spoke of).
Some of the reads will show reduced antigen counts on heterozygous individuals relative the homozygous positive state, so there will be third level detected on some antigens.
Close relative donors would already have half the same chromosomes as the recipient (in a sibling, unlike a lineal, it could randomly be slightly higher or less). That figure I gave was for randomly chosen close relatives-since persons often mate from smaller population groups than the general populace. Persons of a subpopulation are going to have similar antigens. A child of two Swedes is more likely to have similar antigens amongst close relatives than a child of English and Greek parents.
If any of the genes are sited on common chromosomes, the prospects for matching would increase.
With a close relative, the odds would be above 1/3 for a mismatch of precisely 1 antigen (vs. 1/16 for the general populace). If you knew what the differing antigen tested was, you might be able to develop a mask specific to the test.