Page 224 - 20dynamics of cancer
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AGING                                                       209

                              course for a single event model, and will instead be the outcome of a
                              multi-event model. The events do not have to follow one after another
                              or be arranged in any particular pattern. The key is at least partial in-
                              dependence in the time course of progression for each event, and final
                              measured outcome (mortality) only occurring after multiple events have
                              occurred.
                                Similarly, a condition for a midlife rise in acceleration is a slow in-
                              crease in the rate at which individual components fail (Frank 2004a).


                                                    10.4 Conclusions


                                I have included a discussion of mortality in a book otherwise devoted
                              to cancer for two reasons. First, from the vantage point of the general
                              reliability problem, one can more easily see what is necessary to ex-
                              plain patterns of cancer incidence. Second, the extensive development
                              of multistage theory I presented in earlier chapters provides just the sort
                              of quantitative background needed to use reliability theory fruitfully in
                              the general study of mortality.
                                One might now ask: If reliability theory applies to everything, then
                              does it have any explanatory power? This question seems reasonable,
                              but I think it is the wrong question. The reliability framework provides
                              tools to help us formulate testable hypotheses. That framework by itself
                              is not a hypothesis.
                                For cancer, I have shown how multistage theory leads to many useful
                              hypotheses. For example, I have used the theory to predict how age-
                              incidence curves change in response to genetic perturbations (inherited
                              mutations) and environmental perturbations (mutagens and mitogens).
                              Reliability theory will develop into a useful tool for studies of mortality
                              and aging to the extent that one can develop useful hypotheses about
                              how age-incidence curves change in response to measurable perturba-
                              tions.



                                                      10.5 Summary

                                This chapter finishes my three empirical analyses of disease dynamics
                              in light of multistage progression models. The three empirical analyses
                              covered genetics, chemical carcinogenesis, and aging. The next section
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