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Several genes (and the SNPs within them) are known to influence perception to pain [PMID 23545734]. The genes include:
and the SNPs include, among plenty of others:
rs6269 rs4633 rs4818 rs4680
rs6746030 [PMID 20212137]
See also genosets gs232, gs233, gs234 and gs235 which evaluate likely pain categories (low, average, high) for Promethease users based on one COMT-gene based schema.