Page 239 - 20dynamics of cancer
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224                                                CHAPTER 11

                              and − superscripts to label the wild type and variant, then the order-
                              ing of the median age of onset was MDM2 /p53  −  < MDM2 /p53  −  <
                                                                                   +
                                                                    −
                                    −
                              MDM2 /p53   +  < MDM2 /p53 , with values for the medians of 2 <
                                                          +
                                                    +
                              14 < 38 < 57.
                                The MDM2 variant alone shifts the median from 57 in the wild type
                              to 38; the p53 variant alone shifts the median from 57 in the wild type
                              to 14. In this case, either variant by itself causes significantly enhanced
                              progression. In other cases, a variant by itself may have little effect in
                              the absence of a synergistic variant at another site.



                                     COMPARISON BETWEEN RARE VARIANTS AT SINGLE SITES

                                Technical advances in DNA sequencing efficiency provide an oppor-
                              tunity to study individual nucleotide variants. Ideally, one would like
                              to associate nucleotide variants to their consequences for cancer, mea-
                              sured by the age of cancer onset. However, each particular variant often
                              occurs only rarely in natural populations, so it may be difficult to com-
                              pare the age of onset between those individuals with and without the
                              variant. In addition, many amino acid substitutions may have a weak
                              effect on biochemical function, whereas a few substitutions may have
                              a strong effect. Some a priori way of weighting the expected effects of
                              particular substitutions would greatly enhance the association between
                              DNA sequence variants and their consequences for cancer onset.
                                The association between the nucleotide sequence of DNA mismatch
                              repair genes and colorectal cancer has been the focus of many recent
                              studies. In those studies, each observed human subject provides an
                              age of cancer onset and information about variant nucleotide sites or
                              amino acid substitutions in the mismatch repair genes. The two prob-
                              lems mentioned above arise when analyzing the data from those studies:
                              each particular variant occurs rarely, and some method must be used to
                              weight the expected consequences of a substitution.
                                To solve these problems, various computational methods predict the
                              expected functional consequences of amino acid substitutions. One
                              method examines the evolutionary history of a gene, and weights more
                              heavily those substitutions that occur rarely across different species (Ng
                              and Henikoff 2003). The idea is that relatively rare changes must of-
                              ten be more constrained by functional consequences of substitutions,
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