Page 196 - 20dynamics of cancer
P. 196

CARCINOGENS                                                 181

                                In 1977, Richard Peto (1977) stated that the approximately constant
                              incidence rate after smoking ceases “is one of the strongest, and hence
                              most useful, observational restrictions on the formulation of multistage
                              models for lung cancer.” Peto argued that, in any model, the observed
                              constancy in incidence after smoking has stopped “suggests that smok-
                              ing cannot possibly be acting on the final stage” of cancer progression.
                              There could, for example, be a particular gene or pathway that acts
                              as a final barrier in progression and resists the carcinogenic effects of
                              cigarette smoke.
                                In 2001, Julian Peto (2001) reiterated Richard’s argument: “The rapid
                              increase in the lung cancer incidence rate among continuing smokers
                              ceases when they stop smoking, the rate remaining roughly constant
                              for many years in ex-smokers (Halpern et al. 1993). The fact that the
                              rate does not fall abruptly when smoking stops indicates that the mys-
                              terious final event that triggers the clonal expansion of a fully malignant
                              bronchial cell is unaffected by smoking, suggesting a mechanism involv-
                              ing signaling rather than mutagenesis.”
                                In this section, I discuss which stages of progression may be affected
                              by the carcinogens in cigarette smoke. I begin by summarizing observa-
                              tions on how cancer incidence changes after the cessation of carcinogen
                              exposure. I then consider two alternative explanations. First, the car-
                              cinogen may affect only a subset of stages in cancer progression; the
                              particular stages affected determine how patterns of incidence change
                              after cessation. Second, the carcinogen may affect all stages of pro-
                              gression; the different precancerous stages at which individuals cease
                              exposure determine how patterns of incidence change after cessation.
                              Both models fit the data reasonably well.
                                As we have seen often, fitting by itself does not strongly distinguish
                              between competing hypotheses. I therefore introduce some compara-
                              tive approaches that may provide a better way to test alternatives.



                                                       OBSERVATIONS
                                Figure 9.8a shows the flattening of the incidence curve upon cessation
                              of smoking from data collected in the Cancer Prevention Study II of the
                              American Cancer Society (Stellman et al. 1988). This figure summarizes
                              data for 117,455 men who never smoked, 91,994 current smokers, and
                              136,072 former smokers. The top curve represents lifetime smokers
   191   192   193   194   195   196   197   198   199   200   201