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AGE OF CANCER INCIDENCE                                      23

                                Figure 2.2 plots age-specific incidence for different cancers in the USA.
                              Solid lines show male incidences, and dashed lines show female inci-
                              dences. Figure 2.3 plots the age-specific accelerations. I find it useful
                              to look at both incidence and acceleration: incidence describes the fre-
                              quency of cancer at different ages; acceleration describes how rapidly
                              incidence changes with age at different times of life.
                                The acceleration plots in Figure 2.3 show nearly universal positive ac-
                              celeration for these adult cancers, which means that incidence increases
                              with age. Interestingly, the accelerations, although positive, often de-
                              cline late in life (Frank 2004b). I discuss possible explanations for the
                              late-life decline in acceleration in the following chapters.
                                Cancer incidence changes over time for people born in different years,
                              perhaps because they have different lifestyles or environmental expo-
                              sures (Greenlee et al. 2000). Cancer incidence also varies in different ge-
                              ographic locations (Parkin et al. 2002). To illustrate patterns in different
                              times and locations, The Appendix compares incidence and acceleration
                              of the common cancers in the USA in two time periods, 1973–1977 and
                              1993–1997, and in England, Sweden, and Japan in 1993–1997 (Figures
                              A.1–A.12).

                                                 2.3 Childhood Cancers

                                Inherited genetic defects sometimes cause tumors in very young chil-
                              dren (Ries et al. 1999). For example, bilateral retinoblastoma is inherited
                              in an autosomal dominant manner (Knudson 1971). Nearly all carriers
                              develop cancer. The early incidence and the decline in incidence with age
                              (Figure 2.4) occur because most cell divisions in the developing retina
                              happen in the first few years of life, and because incidence declines as
                              the onset of disease depletes the number of susceptible but previously
                              unaffected carriers. Unilateral retinoblastoma arises mainly in geneti-
                              cally normal individuals. The decline in incidence with age happens in
                              accord with the decline in cell division in the susceptible tissue.
                                In testicular cancer, the early cases up to age four appear similar
                              in pattern to the inherited early syndromes, whereas after puberty the
                              number of cases accelerates at ages during which cell division greatly
                              increases (Figure 2.4). Osteosarcomas increase in incidence during the
                              ages of rapid bone elongation; these cancers decline in frequency after
                              the teen years, with the decline in cellular division that accompanies
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