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142                                                 CHAPTER 7

                                                      7.6 Summary

                                A wide variety of incidence and acceleration curves can be drawn
                              based on reasonable assumptions about progression and heterogeneity.
                              That great flexibility of the theory means that it is easy to fit a model to
                              observations. A theory that fits almost any observable pattern explains
                              little; insights and testing of ideas cannot come from simply fitting the
                              theory to observations.
                                The value of the theory arises from comparative hypotheses. The
                              models predict how incidence and acceleration change between groups
                              with different genotypes or different exposures to carcinogens. If one
                              can consistently predict how perturbations to certain processes shift
                              incidence and acceleration, then one has moved closer to understand-
                              ing the processes of carcinogenesis. The following chapters describe
                              comparative studies.
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