Page 174 - 20dynamics of cancer
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GENETICS OF PROGRESSION                                     159


                                        Comparison    Type     Acceleration  Age Mutation

                                        Mlh3 v Mlh3Pms2  GI cancer  +    +     –
                                        Mlh3 v Mlh1   GI cancer   +      +     –

                                        Mlh3 v Mlh3Pms2  Lymphoma  +     +     –

                                        Mlh3 v Mlh1   Lymphoma    +      +     –

                                        Pms2 v Mlh3Pms2 Lymphoma  +      +     –

                                        Pms2 v Mlh1   Lymphoma    +      +     –

                                        Mlh3 v Pms2   Lymphoma    +      +     –


                              Figure 8.9  Comparison of cancer dynamics for four different mismatch repair
                              genotypes. The ‘+’ and ‘–’ symbols show the direction of change for each com-
                              parison. In each comparison, the genotype with the lower mutation rate had
                              a higher acceleration and median age of onset—or, equivalently, the genotype
                              with the higher mutation rate had a lower acceleration and median age of onset.
                              From Frank et al. (2005).



                              limit the kinetics of carcinogenesis, the number of rate-limiting steps
                              decreases, and the acceleration declines.
                                MMR genotypes affect both mutation rate and apoptosis in response
                              to DNA damage. Apoptosis suppresses cancer progression and may
                              often be a rate-limiting step in carcinogenesis. Previous work (Chen
                              et al. 2005; Lipkin et al. 2000) showed that the mutation rates for the
                              four knockout genotypes can be ordered as Mlh3 < Pms2 < Mlh1 ≈
                              Mlh3Pms2, and decreased apoptosis in response to DNA damage of the
                              four genotypes can be ordered as Mlh3 ≈ Pms2 < Mlh1 ≈ Mlh3Pms2.
                                Figure 8.9 shows that differences in mutation rate predict the direc-
                              tion of change in acceleration and median age of onset in lymphomas
                              (Figure 8.7) and in gastrointestinal tumors (Figure 8.8). Note that it is
                              possible to have later age of onset and lower acceleration, so accelera-
                              tion and age of onset are two independent dimensions of the dynamics.
                              The direction of change in mutation rate predicts the direction of change
                              in the acceleration in all 7 cases (p ≈ 0.008), with the same result for
                              the association between mutation rate and age of onset. Differences in
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